Principles of Condensed Matter Physics

Cambridge University Press, Sep 28, 2000 - Technology & Engineering - 699 pages

Now in paperback, this book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter based on symmetries and conservation laws. After surveying the structure and properties of materials with different symmetries, it explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalized rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.

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User Review - Rachele - Goodreads

This book is great- I regularly use it for reference. I took a reading course about 5 years ago using the last couple of chapters of this book (topolical defects and stuff) and I remember that there were lots of typos. But whatev. I mean, it's a long book to write. Read full review

Review: Principles of Condensed Matter Physics

User Review - Elaine Farkas - Goodreads

Excellent text, great examples and problem sets! Read full review

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Selected pages

Title Page

Index

References

1 Overview	1

12 An example H₂O	3

2 The liquidgas phase transition	4

3 Spatial correlations in the liquid state	5

4 Ice crystallized water	8

5 Broken symmetry and rigidity	10

6 Dislocations topological defects	12

7 Universality of the water example	13

2 Elasticity of classical harmonic lattices	332

the stress tensor	334

2 Stressstrain relations	337

3 The Eulerian stress tensor	338

67 The nonlinear sigma model	341

Bibliography	347

correlation and response	353

71 Dynamic correlation and response functions	354

8 Fluctuations and spatial dimension	15

9 Overview of book	16

13 Energies and potentials	17

2 Van der Waals attraction	18

3 Molecular hydrogen the HeitlerLondon approach	20

4 Hardsphere repulsion	22

5 Exchange interaction and magnetism	24

6 The hydrogen molecule molecular orbitals and bands in metals	25

Bibliography	28

2 Structure and scattering	29

22 Photons neutrons or electrons	33

23 The density operator and its correlation functions	34

24 Liquids and gases	38

1 Hardsphere liquids	40

25 Crystalline solids	43

2 The reciprocal lattice	45

3 Periodic functions	46

4 Bragg scattering	47

26 Symmetry and crystal structure	49

1 Twodimensional Bravais lattices	50

2 Threedimensional Bravais lattices	53

3 Close packed structures	56

4 Space groups	57

27 Liquid crystals	58

2 SmecticsA and C	61

3 Hexatic phases	65

4 Discotic phases	68

28 One and twodimensional order in threedimensional materials	71

29 Incommensurate structures	77

210 Quasicrystals	82

211 Magnetic order	85

212 Random isotropic fractals	90

Appendix 2A Fourier transforms	97

2 d dimensions	99

3 Transforms on a lattice	100

Bibliography	101

References	102

Problems	103

3 Thermodynamics and statistical mechanics	108

1 The first law of thermodynamics	109

2 The second law of thermodynamics	111

4 Thermodynamic potentials	112

5 Stability criteria	113

6 Homogeneous functions	115

7 Equations of state	116

phase space and ensembles	117

33 The ideal gas	122

34 Spatial correlations in classical systems	123

35 Ordered systems	127

36 Symmetry order parameters and models	132

1 Discrete symmetries	135

2 Continuous symmetries	137

3 Models	139

Appendix 3A Functional derivatives	140

Bibliography	142

4 Meanfield theory	144

41 BraggWilliams theory	146

42 Landau theory	151

43 The Ising and nvector models	152

1 The nonlocal susceptibility and the correlation length	154

2 On symmetry	156

3 Some meanfield transitions	157

44 The liquidgas transition	159

1 The critical point and the critical isochore	162

2 The coexistence curve	165

45 The firstorder nematictoisotropic transition	168

46 Multicritical points	172

1 Tricritical points	173

2 Metamagnets and FeCl₂	175

3 He� He⁴ mixtures and the BlumeEmeryGriffiths model	179

4 Bicritical and tetracritical points	181

5 Lifshitz points	184

47 The liquidsolid transition	188

1 Are all crystals BCC?	189

2 Criterion for freezing	192

4 Changes in density	194

5 Density functional theory	195

48 Variational meanfield theory	198

2 The meanfield approximation	200

3 The sstate Potts model	201

4 The On classical Heisenberg model	202

5 DebyeHuckel theory	204

Bibliography	208

References	209

5 Field theories critical phenomena and the renormalization group	213

51 Breakdown of meanfield theory	214

1 Meanfield transitions revisited	216

52 Construction of a field theory	217

2 Lattice field theories and their continuum limit	219

3 Gaussian integrals	221

4 Meanfield theory from functional integrals	223

5 Breakdown of meanfield theory revisited	225

53 The selfconsistent field approximation	226

1 The nvector model in the limit n oo	229

54 Critical exponents universality and scaling	230

2 Scaled equation of state	234

3 Multicritical points	235

4 Amplitude ratios	236

5 Theoretical calculations of critical exponents and amplitude ratios	237

56 The onedimensional Ising model	242

2 Decimation and renormalization	245

57 The MigdalKadanoff procedure	248

2 General properties of recursion relations	252

3 The Potts lattice gas and krypton on graphite	253

58 Momentum shell renormalization group	256

2 Correlation functions	260

3 The Gaussian model	261

4 The eexpansion	263

5 nvector model with cubic anisotropy	267

6 Quadratic anisotropy	269

7 Crossover	270

8 Dangerous irrelevant variables	273

9 The utility of the eexpansion	275

Appendix 5A The HubbardStratonovich transformation	276

Appendix 5B Diagrammatic perturbation theory	277

Bibliography	283

6 Generalized elasticity	288

61 The xymodel	289

2 Boundary conditions and external fields	290

3 The Josephson scaling relation	292

4 Fluctuations	293

5 Longrange order quasilongrange order and disorder	295

6 Resistance of a conducting medium	297

62 On symmetry and nematic liquid crystals	298

3 Cells with nonuniform n	300

4 The Freedericksz transition	302

5 The twisted nematic display	304

6 Fluctuations and light scattering	306

Smectic liquid crystals	308

1 The elastic free energy	309

2 Fluctuations	312

3 Nonlinearities	314

4 The nematictosmecticA transition	315

strain and elastic energy	316

2 The elastic free energy	318

3 Isotropic and cubic solids	319

4 Fluctuations	321

5 Mercury chain salts onedimensional crystals	322

6 Xenon on graphite a twodimensional crystal	324

7 Vacancies and interstitials	325

8 Bondangle order and rotational and translational elasticity	328

9 Elastic constants from density functional theory	329

65 Lagrangian elasticity	330

2 Response functions	355

72 The harmonic oscillator	359

2 The damped oscillator	360

3 The response function	362

4 Dissipation	365

73 Elastic waves and phonons	366

2 Acoustic phonons in a harmonic lattice	367

74 Diffusion	369

2 The Green function and dynamic response	370

3 The response function	371

4 External potentials and the Einstein relation	373

5 Brownian motion	375

6 Cooperative diffusion versus selfdiffusion	376

7 Master equation for diffusion on a lattice	378

75 Langevin theory	381

2 Correlation functions for diffusion	383

3 Shorttime behavior	385

4 Fluctuationdissipation theorem for the harmonic oscillator	387

5 The FokkerPlanck and Smoluchowski equations	388

76 Formal properties of response functions	390

2 Symmetry properties of response functions	392

3 Dissipation	394

4 Spectral representations of	395

5 The fluctuationdissipation theorem	397

6 Sum rules and moment expansions	398

77 Inelastic scattering	399

2 Fermi golden rule and neutron scattering	400

3 The Fermi pseudopotential	402

4 Coherent and incoherent scattering	404

5 Crosssections and correlation functions	405

6 Neutron scattering from crystals	406

7 Magnetic scattering	407

8 How neutron scattering experiments are actually done	408

9 Scattering of charged particles and photons	410

Bibliography	411

Hydrodynamics	417

82 A tutorial example rigid rotors on a lattice	419

1 Description of the model	420

2 The disordered phase	421

3 The ordered phase	426

4 Excitations from the classical ground state	430

5 The Goldstone theorem	432

7 Summary	433

83 Spin systems	434

2 Generalized Heisenberg models	435

3 The planar magnet	436

4 The isotropic antiferromagnet	438

5 Isotropic ferromagnets	439

84 Hydrodynamics of simple fluids	440

1 Conservation laws	441

2 Thermodynamics with mass motion	443

3 The entropy production equation	444

4 Dissipationless hydrodynamics	445

5 Dissipation	446

6 The NavierStokes equations	448

7 Hydrodynamic modes	449

8 Light scattering	452

9 Twocomponent fluids	453

85 Liquid crystals crystalline solids and superfluid helium	454

2 SmecticA liquid crystals	456

3 Crystalline solids	459

4 Superfluid helium	460

86 Stochastic models and dynamic critical phenomena	464

2 Dissipative dynamics	466

3 Dynamic scaling	469

4 Poisson bracket terms	472

5 Models with Poisson brackets	475

6 Modemode coupling	477

87 Nucleation and spinodal decomposition	479

1 Nucleation with a nonconserved order parameter	480

2 Symmetric unstable quench with model A dynamics	483

3 Conserved order parameters and spinodal decomposition	484

Bibliography	491

Problems	492

9 Topological defects	495

1 Vortex pairs	499

3 Order parameter spaces and homotopy	501

92 Examples of topological defects	506

2 Dislocations in smectic liquid crystals	507

3 Periodic solids	512

4 Volterra construction	515

6 Disclinations in crystals	517

7 Strength of crystals	518

8 Crystal growth	522

10 Nematic and hexatic liquid crystals	524

93 Energies of vortices and dislocations	526

2 Analogy with magnetism	530

3 Energies of dislocations in crystals	531

4 Dislocations in smectic liquid crystals	536

94 Vortex unbinding and the KosterlitzThouless transition	542

2 Vortex unbinding in two dimensions the Kosterlitz Thouless transition	544

3 Superfluid helium films	551

95 Dislocation mediated melting	555

1 Effects of a substrate	558

2 Experiments and numerical simulation	559

96 The twistgrainboundary phase	561

2 The thermodynamic critical field	564

3 The lower critical field	565

4 The upper critical field	566

5 Xray scattering	568

6 Analogy with superconductivity	571

Appendix 9A Notes on the KosterlitzThouless transition	573

2 Longitudinal and transverse response	575

3 The spin correlation function	577

Appendix 9B Duality and the Villain model	578

1 Potts models	579

2 The xy Villain and lattice Coulombgas models	582

Bibliography	584

Problems	585

Walls kinks and solitons	590

101 Some simple examples	591

102 Domain walls in meanfield theory	595

1 The ϕ⁴ kink	597

2 The sineGordon soliton	599

103 The FrenkelKontorowa model	601

2 Discommensurations	602

3 Devils staircases and the FK phase diagram	603

4 The continuum approximation	605

5 Nature of solutions	608

6 The minimum energy solution	610

7 Repulsive interaction between discommensurations	613

9 Compressional elastic constants	614

10 Phasons	615

11 Pinned phasons	617

12 Extension to two dimensions	618

104 Fluctuating walls	620

2 Curvature	623

3 Energy of a surface	625

4 Fluctuations in the harmonic approximation	626

5 Nonlinearities and renormalization in fluid membranes	629

6 Polymerized membranes	630

105 Arrays of fluctuating walls	635

2 Honeycomb lattice of walls	638

4 Dislocations and the CI transition	640

106 Roughening and faceting	643

2 The roughening transition	646

3 Faceting	648

Bibliography	655

References	656

Glossary	662

Index	685

Copyright

Common terms and phrases

adsorbate antiferromagnetic atoms average boundary Bragg calculated Chapter chemical potential coefficient coexistence configurations conserved correlation function correlation length critical exponents critical point derivative determined diffusion dimensions disclination discussed in Sec dislocation dissipative dynamical entropy equation equilibrium external field ferromagnetic first-order fixed point fluctuations fluid Fourier transform frequency Gaussian Hamiltonian Heisenberg hexagonal hexatic hydrodynamical implies incommensurate integral interaction invariant Ising model isotropic linear liquid crystals magnetic mean-field theory modes molecules momentum nearest neighbor nematic neutron nonzero obtain order parameter ordered phase particles partition function peaks perpendicular phase diagram phase transitions Phys plane positive reciprocal lattice recursion relations renormalization group response function rotations scaling scattering second-order shown in Fig smectic solid space spatially uniform spin structure substrate superfluid surface symmetry temperature tensor thermal thermodynamic topological topological defects tricritical point two-dimensional unit cell variables velocity volume vortex vortices wave number xy-model zero

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From Google Scholar

Continuous Quantum Phase Transitions

SL Sondhi, SM Girvin, JP Carini, D Shahar - 1996 - Arxiv preprint cond-mat/9609279

Regularization of Diffusion-Based Direction Maps for the Tracking ...

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Effective Interactions In Soft Condensed Matter Physics

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References from web pages

Principles of Condensed Matter Physics
Principles of Condensed Matter Physics. cc Matthai 2000 Eur. J. Phys. 22 191 doi: 10.1088/0143-0807/22/2/702 · Help. pm Chaikin and tc Lubensky ...
www.iop.org/ EJ/ abstract/ 0143-0807/ 22/ 2/ 702

Principles of Condensed Matter Physics - Cambridge University Press
Principles of Condensed Matter Physics. pm Chaikin. Princeton University, New Jersey. tc Lubensky. University of Pennsylvania ...
www.cambridge.org/ 0521794501

Phases of Matter: Principles of Condensed Matter Physics. -- Grier ...
Phases of Matter: Principles of Condensed Matter Physics. David G. Grier. References. CHAIKIN, pm, PRINCIPLES CONDENSED (1995). ...
www.sciencemag.org/ cgi/ content/ refs/ 273/ 5280/ 1348

Chaikin Lubensky - Principles of Condensed Matter Physics.1995.djv ...
Please wait, ожидайте 28 секунд [ Скачать 0pre-Library/2004-07-23/Chaikin Lubensky - Principles of Condensed Matter Physics.1995.djv ]
lib.org.by/ info/ 0pre-Library/ 2004-07-23/ Chaikin%20Lubensky%20-%20Principles%20of%20Condensed%20Matter%20Physics.1995.djv

Introduction to Various Areas of Condensed Matter Physics
pm Chaikin and tc Lubensky, "Principles of condensed matter physics" (Cambridge U. Press, 1995). This book is about everything in soft condensed matter. ...
web.mit.edu/ ~redingtn/ www/ netadv/ biblio2.html

Condensed Matter Physics � Blog Physica
Principles of condensed matter physics by Chaikin and Lubensky [Amazon] [Cambridge Univ. Press] [Google]. 2. Basic Notions of Condensed Matter Physics ...
blogphysica.wordpress.com/ books-and-reviewsunder-construction/ condensed-matter/

Frontiers in Soft Condensed Matter Workshop
In 1995, the textbook Principles of Condensed Matter Physics�coauthored by Paul Chaikin and Tom Lubensky�was published by Cambridge University Press in ...
www.mrsec.harvard.edu/ fscm/ chaikin.htm

UW Condensed Matter Physics 567
Principles of Condensed Matter Physics [2000] by pm Chaikin and tc Lubensky. Another advanced and up-to-date text with an unusual emphasis on soft condensed ...
courses.washington.edu/ phys567/

Times Higher Education - Shame about the title
In this substantial book of 699 pages entitled Principles of Condensed Matter Physics, the index does not even feature free-electron theory, ...
www.timeshighereducation.co.uk/ story.asp?storyCode=162031& sectioncode=1

Condensed Matter text books Text - Physics Forums Library
For condensed matter physics beyond the solid state, I believe Principles of Condensed Matter Physics by Chaikin & Lubensky is the standard text. ...
www.physicsforums.com/ archive/ index.php/ t-207067.html

Bibliographic information

QR code for Principles of Condensed Matter Physics

Title	Principles of Condensed Matter Physics
Authors	P. M. Chaikin, T. C. Lubensky
Edition	illustrated, reprint
Publisher	Cambridge University Press, 2000
ISBN	0521794501, 9780521794503
Length	699 pages
Subjects	Science › Chemistry › Physical & Theoretical Science / Chemistry / Physical & Theoretical Science / Physics / Condensed Matter Science / Physics / General Technology & Engineering / Electronics / General Technology & Engineering / Materials Science

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Principles of Condensed Matter Physics

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