The Net Advance of Physics: SPECIAL
BIBLIOGRAPHIES, No. 2
Condensed Matter Physics
by Akakii Melikidze (University
of California, Santa Barbara)
Fourth Edition, 2002 July 14.
Copyright © 2002 by
Akakii Melikidze:
A. Melikidze, Net Adv. Phys. Spec. Bibliog. 2:4 (2002).
Physics Literature
Condensed Matter Theory
Dear Reader,
Below you will see a list of educational articles, of which most
are available online. Though, for obvious reasons, the selection
of the topics can't fail to reflect my own research interests, I
have tried to adhere to certain principles when compiling this
list. These principles are:
 clarity of the style
 originality of presentation
 broadness of topics
I have used or am still using most of the articles in this list.
Thus my idea was to share all these useful papers with those
visitors of my page who have interests in condensed matter
theory.
Akakii.
STRONGLY INTERACTING SYSTEMS:
General;

QUASI ONEDIMENSIONAL CONDUCTORS:
General;

QUANTUM PHASE TRANSITIONS:
General;
Josephson Junctions;
MetalInsulator Transitions;

MESOSCOPIC PHYSICS:
General;

QUANTUM HALL EFFECT:
General;
ChernSimonsLandauGinzburg Theory;
Stripes in Higher Landau Levels;

SUPERCONDUCTORS:
General;
Vortices;
Stripes;
SO(5);

DISORDER:
General;
Weak Localization and Beyond;
Spin Glasses;

METHODS IN PHYSICS:
Models;
Path Integrals and FieldTheoretic Techniques;
Bosonization;
Duality;
Conformal Field Theory;
Diagramatic Methods;
Numerical Methods;
Various;

RELATED FIELDS:
Quantum Optics;
BoseEinstein Condensation;
Physics of Macromolecules;
Various;
Strongly Interacting Systems:
 General:

H. J. Schulz, G. Cuniberti, P. Pieri,
"Fermi Liquids and Luttinger Liquids",
condmat/9807366
An excellent set of lectures from Chia Laguna'97 about many topics,
among
which: Fermi Liquids, Renormalization, Luttinger Liquids,
Heisenberg Model and Bethe Ansatz, Hubbard model,
MetalInsulator Transition, SpinCharge Separation e.t.c.

C. M. Varma, Z. Nussinov, W. van Saarloos,
"Singular Fermi Liquids",
condmat/0103393,
Phys.
Rep. 361, 267 (2002).
A review of nonFermi liquids and theories. Discusses heavy
fermions and highTc's. This is the fullest and most recent
account of the subject. See also:
A. J. Schofield,
"NonFermi liquids",
Contemp. Phys. 40, 95 (1999)
(
pdf file
from his home page).

A. Auerbach, "Interacting electrons and quantum magnetism"
(SpringerVerlag, 1994).
I have seen this book designated as the principal textbook
for one of the graduate courses; students in Santa Barbara
and Princeton organized study groups to study it. See also:
I. Bose,
"Quantum magnets: a brief overview",
condmat/0107399.

E. Fradkin, "Field theories of condensed matter systems"
(AddisonWesley, 1991).
This book is about everything in condensed matter. A musthave.
See also his
home page
for lecture notes.

P. M. Chaikin and T. C. Lubensky,
"Principles of condensed matter physics" (Cambridge U. Press, 1995).
This book is about everything in soft condensed matter.

A. M. J. Schakel, "Boulevard of Broken Symmetries",
condmat/9805152
A great set of lectures! Highly recommended.
 Chetan Nayak,
Piers Coleman,
Matthew Dodgson,
David Khmelnitskii
have lecture notes and problem sets for condensed matter
courses on their web pages. Also, check out a great set of lectures
from Birmingham.
Quasi OneDimensional Conductors:
 General:
 Various:

S. Biermann, A. Georges, T. Giamarchi, A. Lichtenstein,
"Quasionedimensional organic conductors: dimensional crossover
and some puzzles",
condmat/0201542
 recent Windsor'01 lectures.

J. Singleton, C. Mielke,
"Quasitwodimensional organic superconductors: a review",
condmat/0202442.

C. Bourbonnais,
"Electronic phases of lowdimensional conductors",
condmat/0204345
 Cargese'01 lectures.
Quantum Phase Transitions:
 General:
 Josephson Junctions:

J. E. Mooij, G. Schon,
"Single charges in 2dimensional junction arrays",
in "Single charge tunneling", eds. H. Grabert and M. H. Devoret
(Plenum, 1992).
Simple and comprehensive introduction to the phase diagram of
2D JJ arrays. See also:
R. Fazio, G. Schon,
"Quantum Phase Transitions in Josephson Junction Arrays"
(
ps file from G. Schon's
home page)  Siena'97 lectures;
R. Fazio, H. van der Zant,
"Quantum Phase Transitions and Vortex Dynamics in Superconducting
Networks",
condmat/0011152;
Phys.
Rep. 355, 235 (2001).
 MetalInsulator Transitions:

M. Imada, A. Fujimori, and Y. Tokura,
"Metalinsulator transitions",
Rev. Mod.
Phys. 70, 1039 (1998).
This is an extensive review article which discusses many approaches
to the problem from a practical point of view.
 For a more theoretical analysis of the problem see:
D. Belitz, T. R. Kirkpatrick,
"The AndersonMott transition",
Rev. Mod. Phys.
66, 261 (1994).
See also their Leiden'98 lectures:
D. Belitz, T. R. Kirkpatrick,
"Quantum phase transitions",
condmat/9811058.

A. Georges, G. Kotliar, W. Krauth, M. Rozenberg,
"Dynamical meanfield theory of strongly correlated fermion
systems and the limit of infinite dimensions",
Rev. Mod. Phys. 68, 13 (1996).
A review of a powerful general approach to strongly interacting
systems. Mott MIT has been one of the major applications of the
approach.

E. Abrahams, S. V. Kravchenko, and M. P. Sarachik,
"Metallic behavior and related phenomena in two dimensions",
condmat/0006055,
Rev. Mod. Phys.
73, 251 (2001).
This is a review of recently discoverd 2D MIT. Theoretical
understanding of these phenomena is currently missing.
Mesoscopic Physics:
 General:
 Before reading this section you should consider reading a
longawaited overview of the entire field:
L. I. Glazman,
"Resource Letter: MesP1: Mesoscopic physics",
Am. J. Phys. 70, 376 (2002).

Y. Imry, "Introduction to mesoscopic physics"
(Oxford U. Press, 1997).
One of the most elementary introductions that I have seen.
As a next step I would recommend:
T. Dittrich et. al., "Quantum transport and dissipation"
(WileyVCH, 1998); H. Grabert and M. H. Devoret, eds.,
"Single charge tunneling" (Plenum 1992).
 Gerd Schon has given numerous lectures on the subject. Some of them
can be found on his
home page
.
 Les Houches'94 Summer session was devoted to mesoscopic
physics:
E. Akermans et. al., eds., "Mesoscopic quantum physics"
(Elsevier 1995).

G. Montambaux, "Spectral Fluctuations in Disordered Metals",
condmat/9602071.
Les Houches'95 lectures. See also his recent Cargese'01
lectures:
E. Akkermans, G. Montambaux, "Coherent multiple
scattering in disordered media",
condmat/0104013.

C. W. J. Beenakker, "RandomMatrix Theory of Quantum
Transport",
condmat/9612179,
Rev. Mod. Phys. 69, 731 (1997)
(see also his
home page
).
A comprehensive review of RMT applications in disordered
electronic systems. For an introduction to the techniques:
A. D. Mirlin, "Statistics of energy levels and
eigenfunctions in disordered and chaotic systems:
Supersymmetry approach",
condmat/0006421;
K. Efetov, "Supersymmetry in disorder and chaos"
(Cambridge U. Press, 1997).
See also lectures at Les Houches'94 (above).

Ya. M. Blanter and M. Buttiker,
"Shot Noise in Mesoscopic Conductors",
condmat/9910158,
Phys. Rep. 336, 1 (2000).
Shot noise is a very powerful technique to investigate
correlations in electronic systems.
The review is superbly written.
There is also a book:
Sh. Kogan, "Electronic noise and fluctuations in solids"
(Cambridge U. Press, New York, 1996), but I still
have to check it out.

Y. Alhassid,
"The Statistical Theory of Quantum Dots",
condmat/0102268,
Rev. Mod. Phys. 72, 895 (2000).
This is a recent review article.

S. Datta,
"Electronic transport in mesoscopic systems",
(Cambridge U. Press 1997).
A superbly written book!
 Ben Simons
has a great set of lecture notes and review articles on his web site
covering many topics in mesoscopic physics. Strongly recommended!

G. Hackenbroich,
"Phase coherent transmission through interacting mesoscopic
systems",
condmat/0006361,
Phys.
Rep. 343, 463 (2001).
Seems to be a good review article.

I. L. Aleiner, P. W. Brouwer, L. I. Glazman,
"Quantum Effects in Coulomb Blockade",
condmat/0103008,
Phys.
Rep. 358, 309 (2002).
Quite a lengthy review of some recent work of the "gang of
three". For a more elementary account see:
L. I. Glazman, "Single Electron Tunneling",
J. Low Temp. Phys. 118, 247 (2000).

W. G. van der Wiel et al.,
"Electron transport through double quantum dots",
condmat/0205350.
A review of the experimental situation.

J. von Delft, F. Braun,
"Superconductivity in Ultrasmall Grains: Introduction to
Richardson's Exact Solution",
condmat/9911058.
Surprises in mesoscopic physics.
Quantum Hall Effect:
 General:
 There are several good books on the QHE:
 R. Prange and S. Girvin, eds., "The quantum Hall
effect" (SpringerVerlag, 1990);
 M. Stone, ed., "Quantum Hall effect" (World Scientific,
1992);
 J. Hajdu, ed., "Introduction to the theory of the
integer quantum Hall effect" (VCH, 1994).

A. Karlhede, S. A. Kivelson and S. L. Sondhi,
"The quantum Hall effect", in "Correlated electron
systems", ed. V. J. Emery (World Scientific 1993).
One of the first good reviews on the QHE. Jerusalem'92
lectures.

A. H. MacDonald, "Introduction to the physics of the Quantum
Hall regime",
condmat/9410047
This is the best among elementary introductions to the QHE
that can be found on the Net.

Steven M. Girvin, "The Quantum Hall Effect:
Novel Excitations and Broken Symmetries",
condmat/9907002
Great lectures! Highly recommended.

R. Shankar,
"Theories of the Fractional Quantum Hall Effect",
condmat/0108271.
Cargese'2001 lectures. See also:
G. Murthy and R. Shankar,
"Hamiltonian Theory of the FQHE",
condmat/0205326.
A review article submitted to the Rev. Mod. Phys.
 Much information on the edge states in the QHE can be found on
X.G. Wen's home page.

X.G. Wen and A. Zee,
"Superfluidity and Superconductivity in DoubleLayered Quantum Hall
state",
condmat/0110007.
Conceptual introduction to doublelayer quantum Hall systems.
 ChernSimonsLandauGinzburg Theory:

S. C. Zhang, "The ChernSimonsLandauGinzburg Theory of
the Fractional Quantum Hall Effect",
Int. J. Mod. Phys. B, Vol. 6, 25 (1992).
This is the article that one is usually referred to about
the composite boson theory of Quantum Hall Effect.

G. Dunne, "Aspects of ChernSimons Theory",
hepth/9902115.
Les Houches'98 lectures.
Surprisingly enough, though written by a fieldtheorist,
these lectures turned
out to be quite accessible and informative.

Steven H. Simon, "The ChernSimons Fermi Liquid Description
of Fractional Quantum Hall States",
condmat/9812186
A review of nu=1/2 problem.
 Stripes in higher Landau levels:
Superconductors:
 General:

P. W. Anderson, "THE theory of superconductivity in the
highTc cuprates" (Princeton U. Press, 1997).
As prof. Anderson says, "90% of the theory is known, left
are the details".

M. P. A. Fisher, "Mott Insulators, Spin Liquids and Quantum
Disordered Superconductivity",
condmat/9806164
Lectures in Les Houches, 1998. They introduce the reader into
one of the recent phenomenological theories of HighTc
superconductors. This approach eventually lead to what is
now called "Z_{2} gauge theory":
T. Senthil, M. P. A. Fisher,
"Z_{2} Gauge Theory of Electron Fractionalization in Strongly
Correlated Systems",
condmat/9910224.
See also:
R. Moessner, S. L. Sondhi, E. Fradkin,
"Shortranged RVB physics, quantum dimer models and Ising
gauge theories",
condmat/0103396;
C. Lhuillier, G. Misguich,
"Frustrated quantum magnets",
condmat/0109146,
Cargese'01 lectures.
 For a chronological introduction to the spin liquids try:
X.G. Wen, "Mean Field theory of Spin Liquid States and Topological
Orders"
(pdf
from his home page)
 Cargese'90 lectures.

The Boulder'2000 school
was devoted to superconductivity.

F. Marsiglio, J.P. Carbotte,
"Electron  Phonon Superconductivity",
condmat/0106143
.
Review of the MigdalEliashberg theory  strong coupling extension
of the BCS theory. Fluctuation phenomena that become important in
this regime are thoroughly covered in this great review:
A.I. Larkin, A.A.Varlamov,
"Fluctuation Phenomena in Superconductors",
condmat/0109177.
 Vortices:

G. Blatter et. al., "Vortices in HighTemperature
Superconductors",
Rev. Mod. Phys., 66, 1125 (1994).
Almost everything you have ever wanted to know about
vortices in HighTc's.

E. H. Brandt, "The FluxLine Lattice in Superconductors",
suprcon/9506003
Quite a lengthy review article; I haven't gotten to read
it yet. For a recent review see:
T. Giamarchi, S. Bhattacharya, "Vortex phases",
condmat/0111052

D. R. Nelson,
"Vortex line fluctuations in superconductors from elementary
quanum mechanics"
, in
"Phase transitions and relaxation in systems with competing
energy scales", eds. T. Riste and D. Sherington (Kluwer, 1993).
Geilo'93 lectures. Great set, highly recommended!

E. Akkermans and K. Mallick,
"Geometrical description of vortices in GinzburgLandau
billiards",
condmat/9907441.
A crash course in topology followed by an application to
the dual point of GinzburgLandau equations. Les Houches'98 lectures.
 Stripes Theory:
 SO(5) Theory:
Disorder:
 General:

T. Giamarchi and E. Orignac,
"Disordered Quantum Solids",
condmat/0005220;
Montreal'00 Lectures. See also:
T. Giamarchi,
"Disordered Wigner crystals",
condmat/0205099;
Windsor'01 lectures.

M. Kardar, "Directed Paths in Random Media",
condmat/9411022
Les Houches'94 lectures.

D. S. Fisher, "Collective transport: from superconductors to
earthquakes",
condmat/9711179
Les Houches'94 lectures.
 Although this it is not a review, this article is considered the
cornerstone of our understanding of localization of interacting
electrons in 1D:
T. Giamarchi, H. J. Schulz,
"Anderson localization and interactions in onedimensional metals",
Phys. Rev. B
37, 325 (1988).

P. Van Mieghem,
"Theory of band tails in heavily doped semiconductors",
Rev. Mod. Phys.
64, 755 (1992).

M. V. Sadovskii, "Superconductivity and localization",
condmat/9308018
Seems interesting, but I haven't read it yet.

N. Hatano, "Localization in nonHermitian quantum mechanics
and fluxline pinning in superconductors",
condmat/9801283
A review article on nonhermitian localization. For
detailed calculations see:
J. Feinberg, A. Zee, "NonHermitean Localization and
DeLocalization",
condmat/9706218
 Weak localization and beyond:
For an introduction to the subject see tutorial references in the
section on mesoscopics (above).
There are four major approaches to the problem of treating interacting
electrons in the presence of disorder. In their chronological order
they are:
 Spin Glasses:
Methods:
 Models:
 The solution of the 2D Ising model through the introduction
of Majorana fermions
can be looked up in many current textbooks
(see e.g. Itzykson and Drouffe's book in the CFT section below). The
original reference is:
T. D. Schultz, D. C. Mattis, and E. H. Lieb,
"TwoDimensional Ising Model as a Soluble Problem of Many Fermions",
Rev. Mod. Phys.
36, 856 (1964).
More about the modern (RG) view on the Ising model in 1, 2 and 3
dimensions can be found in:
N. Goldenfeld,
"Lectures on phase transitions and the renormalization group"
(AddisonWesley, 1992).
 The KosterlitzThouless transition in the 2D XY model is treated
in many textbooks, see e.g. Chaikin and Lubensky's
book (above) and Girvin's lectures at
Boulder'00.
The critical properties of this model are those of
the 1+1D sineGordon model (see the same book above), and the latter
is "renormalized" in many field theory textbooks (see e.g. Gogolin,
Nersesyan, Tsvelik). A very good discussion of the 2D XY model and
the physical systems it describes can be found in these Les
Houches'94 lectures:
D. R. Nelson, "Defects in superfluids, superconductors and
membranes",
condmat/9502114.
 The Kondo model is one of the central models of condensed matter
theory. Piers Coleman has recently written up a great set of
lectures on the subject:
P. Coleman,
"Local moment physics in heavy electron systems",
condmat/0206003.
The standard reference is:
A. C. Hewson,
"The Kondo Problem to Heavy Fermions" (Cambridge U. Press, 1997).
The "modern" approach is described in
I. Affleck, "Conformal Field Theory Approach to the
Kondo Effect",
condmat/9512099
.
 A few general reviews of fieldtheoretic models of interest to a
condensed
matter physicist can be found in the Reviews of Modern Physics:
J. B. Kogut,
"An introduction to lattice gauge theory and spin systems",
Rev. Mod. Phys.
51, 659 (1979);
H. B. Thacker,
"Exact integrability in quantum field theory and statistical systems",
Rev. Mod. Phys.
53, 253 (1981);
R. Savit,
"Duality in field theory and statistical systems",
Rev. Mod. Phys.
52, 453 (1980).
A brilliant exposition of this field can be found in:
A. M. Polyakov,
"Gauge fields and strings" (Harwood, 1987).
 A. P. Polychronakos, "Generalized Statistics In One
Dimension",
hepth/9902157
Les Houches'98 lectures. See also:
R. B. Laughlin et. al.,
"Quantum Number Fractionalization in Antiferromagnets",
condmat/9802135.
Chia Laguna'97 lectures.

N. Andrei, "Integrable Models in Condensed Matter Physics",
condmat/9408101
These lectures describe in detail Bethe Ansatz solutions of
many solvable models. Highly mathematical in style.

M. Takahashi, "Thermodynamical Bethe Ansatz and condensed matter",
condmat/9708087
A comprehensive description of the TBA solution of many
lowdimensional models.

H. Tasaki, "The Hubbard model: introduction and some rigorous
results",
condmat/9512169
An excellent review of exact results on Hubbard model.
Written for a general physics audience.

N. M. R. Peres, "The manyElectron Problem in Novel
LowDimensional Materials",
condmat/9802240
This is a fulllength description of the algebraic solution
of 1D Hubbard model.
 Path Integrals and FieldTheoretic Techniques:
 For singleparticle path integrals and applications the
best reference is:
D. C. Khandekar, S. V. Lawande and K. V. Bhagwat,
"Pathintegral methods and their applications"
(World Scientific, 1993).
The best online introduction so far is:
R. MacKenzie, "Path Integral Methods and Applications",
quantph/0004090.
 For fermionic path integrals and RG techniques see:
R. Shankar, "Renormalization Group Approach to Interacting
Fermions",
Rev. Mod. Phys. 66, 129 (1994);
condmat/9307009.
 The universal reference for field theoretic techniques and
models is:
J. ZinnJustin, "Quantum field theory and critical
phenomena" (Oxford U. Press, 1996).
See also:
J. ZinnJustin, "Vector models in the large N limit: a
few applications",
hepth/9810198
These lectures constitute an updated and extended version
of several chapters in ZinnJustin's book.
 The ShwingerKeldysh or "doubletime" path integral formalism
is described in:
A. Kamenev,
"Keldysh and DoiPeliti Techniques for outofEquilibrium Systems",
condmat/0109316.
Windsor'01 lectures. For a more elementary introduction to
reactiondiffusion problems see:
M. R. Evans, R. A. Blythe,
"Nonequilibrium Dynamics in Low Dimensional Systems",
condmat/0110630,
Altenberg'01 lectures.
 A review of the applications of the Keldysh
technique to the transport theory can be found in:
J. Rammer,
"Quantum transport theory of electrons in solids: A singleparticle
approach",
Rev. Mod. Phys.
63, 781 (1991);
J. Rammer, H. Smith,
"Quantum fieldtheoretical methods in transport theory of metals",
Rev. Mod. Phys.
58, 323 (1986).
Rammer also has a book out:
J. Rammer, "Quantum Transport Theory" (Perseus, 1998),
but I haven't had a chance to have a look at it yet.

R. Rajaraman, "Solitons and Instantons" (North Holland, 1989).
An instant classic!
 Bosonization:
 The "Bible" of bosonization is:
A. O. Gogolin, A. A. Nersesyan and A. M. Tsvelik,
"Bosonization and strongly correlated systems"
(Cambridge U. Press, 1998).

R. Shankar, "Bosonization: how to make it work for you in
Condensed Matter", Acta Phys. Pol. B 26, 1835 (1995).
An introduction to bosonization techniques in condensed
matter along with some applications.

K. Schonhammer, V. Meden, "FermionBoson Transmutation ...",
condmat/9606018
Can you explain what bosonization is to a freshman? These
authors answer: "Yes, we can!".

K. Schonhammer, "Interacting fermions in 1D:
TomonagaLuttinger liquid",
condmat/9710330
Contains a short description of the standard solution of
TomonagaLuttinger model by bosonization.

D. Senechal, "An introduction to bosonization",
condmat/9908262.
Great review, simply the best!

J. von Delft, H. Schoeller,
"Bosonization for Beginners  Refermionization for Experts",
condmat/9805275.
The most detailed exposition I have seen.

H. Grabert,
"Transport in Single Channel Quantum Wires",
condmat/0107175.
Recent tutorial.

A. Houghton, H.J. Kwon, J. B. Marston,
"Multidimensional Bosonization",
condmat/9810388.
See also:
P. Kopietz,
"Bosonization of interacting fermions in arbitrary dimensions"
(SpringerVerlag, Berlin 1997).
 Duality:

S. E. Hjelmeland, U. Lindstrvm,
"Duality for the NonSpecialist",
hepth/9705122.
Introduction to the duality in field theory.
For extensions into YangMills theories see also:
S. T. Tsou,
"Concepts in Gauge Theory Leading to ElectricMagnetic
Duality",
hepth/0006178,
and
H. M. Chan,
"YangMills Duality and the Generation Puzzle",
hepth/0007016.

P. A. Marchetti, "Bosonization and Duality in Condensed
Matter Systems",
hepth/9511100
Explains the essence of bosonization and dualities in
condensed matter physics. See also:
I. Yurkevich, "Bosonization as the HubbardStratonovich Transformation",
condmat/0112270.

M. Kiometzis, H. Kleinert, A. M. J. Schakel,
"Dual description of the Superconducting Phase Transition",
condmat/9508142
Duality in action. This is, in fact, an
expanded version of one of the chapters in Schakel's book
(see top). See also Les Houches'99 lectures:
A. M. J. Schakel,
"TimeDependent GinzburgLandau Theory and Duality",
condmat/9904092,
and Cracow'00 lectures:
A. M. J. Schakel,
"SuperconductorInsulator Quantum Phase Transitions",
condmat/0011030.
 Conformal Field Theory:
 It all started with this article:
A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov,
"Infinite conformal symmetry in twodimensional quantum field
theory", Nucl. Phys. B 241, 333 (1984),
(KEK
Library).
 Two of the old (and still the most popular) introductory
reviews of CFT are:
P. Ginsparg, "Applied conformal invariance",
(
KEK Library), and
J. L. Cardy, "Conformal invariance and statistical
mechanics" (these and other Cardy's lectures can be found on his
web site).
Both are Les Houches'88 lectures,
published in "Fields, strings and critical phenomena",
eds. E. Brezin and J. ZinnJustin. The ultimate
reference on CFT is:
P. Di Francesco, P. Mathieu and D. Senechal, "Conformal
field theory" (Springer 1997). See also:
C. Itzykson and J.M. Drouffe, "Statistical field
theory", v. 2 (Cambridge U. Press, 1989).
 J. Cardy, "Conformal Invariance and Percolation",
mathph/0103018.
Cardy's recent set of lectures given in Tokyo'01.
 There are books which manage to present complicated issues
in an essentially natural way (those who have read
Polyakov's book know what I'm talking about). One such book
that dwells on conformal field theory is:
A. O. Gogolin, A. A. Nersesyan and A. M. Tsvelik,
"Bosonization and strongly correlated systems" (Cambridge U.
Press, 1998).

C.J. Efthimiou, D.A. Spector, "A Collection of Exercises in
TwoDimensional Physics, Part 1",
hepth/0003190.
The best way to learn is to solve problems!

D. Bernard, "(Perturbed) Conformal Field Theory Applied to
2D Disordered Systems : an Introduction",
hepth/9509137
Discusses disorder in 2D and WessZuminoNovikovWitten
model. More on the WZNW model can be found in the book by
Gogolin, Nersesyan and Tsvelik (see above).
 I. Affleck, "Conformal Field Theory Approach to the
Kondo Effect",
condmat/9512099
Ian Affleck is one of the guys who have developed the modern
conformal methods for condensed matter. This review can serve
as an introduction.
 H. Saleur, "Lectures on NonPerturbative Field Theory
and Quantum Impurity Problems",
condmat/9812110
These Les Houches'98 lectures are similar in spirit to
Affleck's review (see above).
 Diagramatic Techniques:
 The standard references are:
A. A. Abrikosov, L. P. Gorkov and I. E. Dzyaloshinski,
"Methods of quantum field theory in statistical physics"
(Dover 1975);
G. D. Mahan, "Manyparticle physics" (Plenum 1990).
A recent monograph with an excellent set of current
applications is:
A M. Zagoskin, "Quantum theory of manybody systems"
(Springer 1998).

L.S. Levitov, A. V. Shytov,
"Zadachi po teoreticheskoj fizike s reshenijami"
("Problems in theoretical physics with solutions", in russian),
unpublished.
I would learn russian just to read this book.

A. MacKinnon, "Transport and Disorder",
lecture notes
Explains the diagramatic techniques for disorder.
Few applications. The standard references are:
P. A. Lee and T. V. Ramakrishnan,
Rev. Mod. Phys. 57, 287 (1985);
B. L. Altshuler and A. G. Aronov in "Electronelectron
interactions in disordered systems", A. L. Effros and M.
Pollak, eds. (NorthHolland 1985).
 Numerical methods:
 In 1998 Cornell University hosted a
school
devoted to quantum Monte Carlo methods. See also:
W. M. C. Foulkes, L. Mitas, R. J. Needs and G. Rajagopal,
"Quantum Monte Carlo simulations of solids",
Rev. Mod. Phys. 73, 33 (2001).

K. Binder,
"Applications of Monte Carlo methods to statistical physics",
Rep. Prog. Phys. 60,
487 (1997).
Looks like a very good review article. There is also a book:
D. P. Landau and K. Binder,
"A Guide to Monte Carlo Simulations in Statistical Physics"
(Cambridge U. Press, 2000).

A. K. Hartmann, H. Rieger,
"A practical guide to computer simulations",
condmat/0111531.
A survey of computer tools used by physicists.
 Various:

The topic of "noncommutative geometry" has become a hot one
among string theorists in the past couple of years. From
the condensed matter point of view noncommutativity is just
the effect of magnetic field. Anticipating mutual
interest of the people in the two areas, I decided to
compile a list of "tour guides" for tourists travelling
to "noncommuteland":
There is also a great review article:
Richard J. Szabo, "Quantum Field Theory on Noncommutative Spaces",
hepth/0109162.
See also:
M. R. Douglas and N. A. Nekrasov,
"Noncommutative field theory",
hepth/0106048,
Rev. Mod. Phys.
73, 977 (2001).
 In 1996/97 the Institute for Advanced Study in Princeton
held a program called
"Quantum Field Theory for
Mathematicians" with lectures by E. Witten (Field
Theory), K. Gawedzki (Conformal Field Theory) and many others.

Dimitry Vvedensky
has written a very good set of lectures on group theory and its
application to quantum mechanics.
 Several field theory courses are now available online:
W. Siegel, "Fields",
hepth/9912205;
P. van Baal,
A course in field theory;
see also
lectures
from the NIKHEF in Netherlands.
For courses on nonrelativistic quantum mechanics see:
H.C. Rosu, "Elementary Nonrelativistic Quantum Mechanics",
physics/0004072;
S. Pratt,
Quantum Mechanics;
N. Cooper,
Theoretical Physics 2.
While we are on the subject of prerequisite material take a look
also at the
draft of
H. Gould and J. Tobochnik, "Thermal and Statistical Physics".
Related Fields:
 Quantum optics:

P. L. Knight,
"Quantum fluctuations in optical systems",
ps
(no figures),
P. Zoller, C. W. Gardiner,
"Quantum Noise in Quantum Optics: the Stochastic Schrodinger
Equation",
quantph/9702030.
Les Houches'95 lectures.

M. B. Plenio, P. L. Knight,
"The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics",
quantph/9702007,
Rev. Mod. Phys.
70, 101 (1998).
A review of a powerful technique.

B.S. Skagerstam,
"Topics in Modern Quantum Optics",
quantph/9909086.
Read about one of the most exciting areas of modern
quantum physics.

H. M. Wiseman,
"Quantum trajectories and feedback", Ph. D. thesis
(home page).
See also his course:
Advanced statistical mechanics
.
 Take a look at a couple of courses:
N. Kylstra, "Quantum optics"
;
Y. Yamamoto, "Quantum optics and measurements"
.

H. J. Carmichael,
"Quantum Fluctuations of Light: A Modern Perspective on
Wave/Particle Duality",
quantph/0104073.
Great introductory article. See also:
L. Mandel,
"Quantum effects in onephoton and twophoton interference",
Rev.
Mod. Phys. 71, s274 (1999)
;
A. Zeilinger,
"Experiment and the foundations of quantum physics",
Rev. Mod.
Phys. 71, s288 (1999).

Luiz Davidovich,
"Quantum Optics in Cavities, Phase Space Representations, and
the Classical Limit of Quantum Mechanics"
(pdf)
 Ushuaia'2000 lectures;
"SubPoissonian processes in quantum optics",
Rev. Mod.
Phys. 68, 127 (1996)
 review article on which the Les Houches'95 lectures (see above)
were based.

J. M. Raimond, M. Brune, and S. Haroche,
"Manipulating quantum entanglement with atoms and photons in a cavity",
Rev. Mod. Phys. 73, 565 (2001).
This is a recent review of cavity QED.
 BoseEinstein condensation:
 Physics of macromolecules:

T. Garel, H. Orland, E. Pitard, "Protein Folding and
Heteropolymers",
condmat/9706125
A great tutorial! Best starting point for everyone who is
about to embark on research in protein folding. See also:
J. Banavar et al.,
"Geometrical aspects of protein folding",
condmat/0105209
.
Varenna'01 lectures;
V. S. Pande, A. Yu. Grosberg, and T. Tanaka,
"Heteropolymer freezing and design: Towards physical models of
protein folding",
Rev. Mod. Phys. 72, 259 (2000).

Sergei Nechaev, "Statistics of knots and entangled random walks",
condmat/9812205.
Les Houches'98 lectures. A gentle introduction to polymer physics
can be found on
Yong Mao's home page.
See also:
T. A. Witten, "Polymer solutions: A geometric introduction",
Rev. Mod. Phys. 70, 1531 (1998)
and
Polymers and Liquid Crystals.
 The mathematical aspects of the subject are reviewed in:
R. D. Kamien,
"The Geometry of Soft Materials: A Primer",
condmat/0203127.
.
 Various:

William Bialek,
"Thinking about the brain",
physics/0205030;
Les Houches'01. Recent lectures on the "theory of learning"  an
exciting new extension of Shannon's theory of information.
 The concept of information in the quantum context is discussed in:
M. B. Plenio, V. Vitelli,
"The physics of forgetting: Landauer's erasure principle and
information theory",
quantph/0103108;
V. Vedral,
"The Role of Relative Entropy in Quantum Information Theory",
quantph/0102094.

G. E. Volovik, "Exotic Properties of ^{3}He"
(World Scientific, 1992).
Everything that any condensed matter physicist has to know
about topology and ^{3}He. An interested reader may want to
continue by reading a recent review:
"Superfluid analogies of cosmological phenomena",
grqc/0005091;
see also Les Houches'99 lectures:
G. E. Volovik,
"^{3}He and Universe parallelism",
condmat/9902171.
Aslo, a draft version of Volovik's forthcoming book is
available from his
home
page.

G. Falkovich, K. Gawedzki, M. Vergassola,
"Particles and fields in fluid turbulence",
condmat/0105199
. Review article for Rev. Mod. Phys.

R. Dickman et. al., "Paths to SelfOrganized Criticality",
condmat/9910454
Looks like a good tutorial. I haven't checked it out yet.
See also:
D. Dhar, "Studying SelfOrganized Criticality with Exactly
Solved Models",
condmat/9909009

J. Anandan, J, Christian and K. Wanelik,
"Resource Letter GPP1: Geometric Phases in Physics",
quantph/9702011
. A large collection of references to work dealing with
geometrical phases. Reprints of many of the early works can be
also found in:
F. Wilczek and A. Shapere,
"Geometric phases in physics" (World Scientific, Singapore
1989).

M. Baake, "A Guide to Mathematical Quasicrystals",
mathph/9901014
Haven't checked it out yet.

V. S. Olkhovsky, E. Recami, "Tunneling Times and
"Superluminal" Tunneling: A brief Review",
condmat/9802162
This is not a SciFi book!

C. Kiefer, E. Joos, "Decoherence: Concepts and Examples",
quantph/9803052.
Great introductory review (it's a part of the review which
appeared in the book by Giulini et. al., see below)!
See also:
J. P. Paz, W. H. Zurek, "EnvironmentInduced Decoherence
and the Transition From Quantum to Classical",
quantph/0010011.
Some aspects are covered in the books:
D. Giulini et. al.,
"Decoherence and the appearance of a classical world in
quantum theory" (Springer 1996)
;
P. Blanchard,
"Decoherence: Theoretical, Experimental, and Conceptual Problems"
(
SpringerLink)
and
U. Weiss, "Quantum dissipative systems" (World Scientific,
1993).

A. Eckert et. al., "Basic concepts in quantum computation",
quantph/0011013
Les Houches'99 lectures. Another great place to start is
PHY 219/CS 219, "Quantum Computation", a course
taught in Caltech by John Preskill.
For introduction into one of the most exciting areas see:
N. Gisin et al., "Quantum cryptography",
quantph/0101098
.
The center of the "Quantum Computing Universe" is
Qubit.Org.

L. O'Raifeartaigh, N. Straumann,
"Early History of Gauge Theories and KaluzaKlein Theories,
with a Glance at Recent Developments",
hepph/9810524.
This article appeared in the APS Centennial issue of Rev.
Mod. Phys. Another interesting article is
N. Straumann,
"Reflections on Gravity",
astroph/0006423.

R. Jackiw,
"A Particle Field Theorist's Lectures on Supersymmetric,
NonAbelian Fluid Mechanics and dBranes",
physics/0010042.
Montreal'00 lectures.

D. Bigatti, L. Susskind,
"TASI lectures on the Holographic Principle",
hepth/0002044.
See also 't Hooft's Erice lectures:
"Determinism and Dissipation in Quantum Gravity",
hepth/0003005,
and
"The Holographic Principle",
hepth/0003004.
By the way, 't Hooft has published a book on general relativity.
A draft version of this book is available from his
web site
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Last Modified:
July 14, 2002
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