Marder M.P. Condensed Matter Physics

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Index 923

magnetic superlattices, 815

Crabtree, G. W., 891

Cracknell, A. P., 36, 41, 193, 206, Aid, 480

cracks, 399^106

as branch cuts, 404

in strip, 400

lattice trapping, 408

Craighead, H. G., 608

CrBr

scaling data, 754

creation operator, 352, 907

time evolution, 354

Creuzet, G., 836

critical opalescence, 744

critical phenomena, 743-754

critical isotherm, 746

experimental scaling function, 754

exponents, 748-750

magnetic susceptibility, 746

scaling theory, 750-754

specific heat, 746

spontaneous magnetization, 745

table of exponents, 750

critical point, 743

CRN, see continuous random network

Cross,

M. C, 836

crystal

essence of, 66

two-dimensional, 6

crystal habit

first law of, 3

second law of, 3, 40

crystal momentum, 179, 182, 365, 640

crystal structures

of elements, 19

databases, 37

crystal systems, 13

cubic, 30

enumerated, 30-32

hexagonal, 32

monoclinic, 32

orthorhombic, 32

rhombohedral, 32

tetragonal, 30

triclinic, 32

trigonal, 32

Bloch oscillations, 457

magnetism, 814

CsCl

structure, 26

table of similar compounds, 26

anomalous skin effect, 694

band structure, 282

band structure energy, 311, 315

core binding energies, 712

Fermi surface, 475

Fermi surface orbits, 471

optical properties, 282

charge density, 296

crystal habits, 5

optical absorption, 644

cubic close-packed, 20

Cullis, A.B., 385,470

Cummins, H. Z., 750, 757

CuO,

532

base for superconductors, 882

core-level data, 715

core-level photoemission, 711-716

Hubbard model, 832

insulator, 279

structure, see lattices, CuO

Cu0

base for superconductors, 882

Curie temperature, 731

Curie's law, 766-767

experimental tests, 767

Curie-Weiss temperature, 731, 732

current operator, 625

Curtiss, C. F., 318, 447

Curtiss, L. A., 257, 263

Cusack, N. E., 117,149, 526, 565

cusp conditions, 254

CuZn

superlattice ordering, 742

cyclotron frequency, 634, 771

cyclotron resonance, 577, 633-638, 652, 674

data in germanium, 637

sketch of setup, 634

Czyzyk, M. T., 719

Däweritz, L., 94

Dagotto, E., 891

Damascelli, A., 891

dangling bonds, 586

Das Sarma, S., 837

Daughton, J. M., 838

Davey, S. C, 410

Davies, R. O., 890

Davis,

E. A., 566

Davis,

N. P., 86, 94

Davis,

S. H., 449

Davisson, J., 82, 94

de Boer, J. H., 836

de Gennes, P.-G., 94, 116,149, 339, 448, 891

924 Index

liquid crystals, 123, 335

polymers, 417

superconductivity, 845

wetting, 81

de Haas, W. J., 473, 819, 836

de Haas-van Alphen effect, 473^176, 774

de Lozanne, A. L., 94, 850

Dean, P., 565

Deaver, B. S., 850, 852, 891

Debye frequency, 359

Debye model, 358

Debye temperature, 359, 377

table, 360

Debye, P., 355, 358, 377

Debye-Scherrer method, 59

Debye-Waller factor, 371, 372, 377

decay, 624, 626

deflation rule, 135, 140

degeneracy, 210

accidental, 202

degenerate electron gas, 166

Delly, B., 720

Delrieu, J. M, 837

delta function

Dirac and discrete related, 160

Demircan, E., 439, 448

dendrites, 108, 109

dense random packing, 115

density functional theory, 242, 244-252, 709,

711,813

density of states, 159-163, 172

arbitrary dimensions, 173

0(£),

161

for free electrons, 161

for phonons, 356

for phonons in silicon, 357

from Green's functions, 536

in periodic potential, 185

joint, 638

D-

160

local, 537

one and two dimensions, 163

depletion region, 589, 592, 593, 607

depolarization factor, 664

DePuydt, J. M., 657

Desai, P. D., 378

Desiraju, G., 318

Devanarayanan, S., 378

deviatoric stress, 425

Devreese, J. T., 686

Dexter, R. N„ 637, 656, 657

diamagnetism, 724, 729, 842

diamond, 283

irreducible representations, 200

phonons, 349

residual ray, 668

scattering, 54

specific heat, 354, 355

structure, 24

two-body potentials, 314

dielectric function, 614, 616-623

causality, 618

data for CdS, 667

high frequency, 666

insulators, 617

Kosterlitz-Thouless, 397

Lindhard, 628

low frequency, 666

metal-insulator transitions, 532, 533

metals, 617

sketch, 618

superconductivity, 862

table for ionic crystals, 670

table for semiconductors, 577

differential scattering cross section, neutrons,

368

diffusing-wave spectroscopy, 128

diffusion, 147

diffusion equation, 98

derivation, 99

diffusion length, 594

diffusion Monte Carlo, 253

diffusion^ 97

diffusion-limited aggregation, 93

Dimmock, J. O., 291

Ding, H., 887, 891

diode, 583-585

cathode ray, 567

solar cell, 645

dipole interactions, 299

dipole moments

table for selected molecules, 242

Dirac equation, 277, 761

Dirac, P. A. M., 234, 263, 368, 377, 802, 836

direct gap, 576

disbelief,

suspension of, 157

dislocations, 381-399, 406

Burgers vector, 383

climb,

383

core,

395

edge,

382, 383

energy in two dimensions, 395

force to move, 386

glide plane, 383

imaged, 385

interacting in two dimensions, 395

screw, 382, 383

slip plane, 383

Index 925

spiral growth, 385

surface growth, 384

disorder, 530, 781

tight binding model, 535

dispersion relations

He,

434

excitons, 644

ferromagnetic spin waves, 808

light, 615, 702

phonons excited by cracks, 406

phonons in one dimension, 343, 345, 376

phonons in silicon, 351, 367

phonons, from inelastic X-ray scattering,

703

plasmons, 696

polaritons, 666, 667, 704

polarons, 672

schematic for neutron scattering, 366

spin waves, antiferromagnetic, 811

spin waves, ferromagnetic, 811

dissipation, 112,415,601

divalent metals

Fermi surfaces, 476

DLA, see diffusion-limited aggregation

DNA, 71

Doi,

M., 417,448

Doll, R., 850, 852, 891

Dolling, G., 357, 367, 377

domains

energy of, 738

sketch, 739

Domb, C, 750, 757, 758

Donnelly, R. J., 438, 442, 448

donors, 532

table of binding energies, 580

Dorantes-Davila, J., 831

Dorda, G., 780, 795

Dorner, B., 703, 719

double layer, 573

Drazin, P. G., 448

Dresselhaus, G., 232, 635, 656

Dresselhaus, M. S., 232

Drude model, 453, 611, 689, 694, 716

Drude, P., 453, 480

Dubonos, S. V., 150

ductile, 379

Dulong and Petit, law of, 354, 357

Durian, D. J., 74

Dutta, P., 565

dynamic light scattering, 68

dynamic viscosity, 415

Dynes, R. C., 891

Dzyaloshinskii, I. Y., 631

Eastman, D. E., 779

Eastman, L. F., 607

easy axis, 734

Ebbesen, T. W., 143,149

Eberhart, J. P., 61,74

Ebers-Moll equations, 597, 607

Echenique, P. M., 263

Economou, E. N., 539, 565

Edison, T., 567

Edwards, P. P., 534, 565

Edwards, S. R, 417, 448, 743, 757

EELS,

see electron energy loss spectroscopy

effective Hamiltonian, 183

effective mass

cyclotron resonance, 636

density of states, 579

electrical transport, 494

Fermi liquid, 508

polaron, 673

semiconductors, 577

specific heat, 170

table for semiconductors, 577

theorem, 459, 477

tight-binding model, 478

effective particles, 170

Egelstaff,

P. A., 151

Egri, I., 656

Ehrenreich, H., 291, 656

Einstein relation, 147

Einstein, A., 147, 149, 354, 378, 631, 656,

686

model for phonons, 358

photoelectric effect, 612

specific heat of crystals, 355, 358

transition probabilities, 373, 646

Eisenberger, P., 74

elastic modulus of rubber, 323

elastic scattering, see scattering, elastic

elasticity, 321-332

reference state, 321

electrical conductivity

anomalous skin effect, 695

cubic symmetry, 493

cyclotron resonance, 635

Drude model, 454

electrons and ions combined, 861

fluctuations, 529

frequency dependent, 611

Maxwell's equations, 614

quantized, 600-602, 780, 785

scattering theory, 523-530

tensor, 493, 625, 629

electrochemical force, 495

electron density, 627

926

Index

electron energy loss spectroscopy, 698

electron hologram, 777, 850

electron nuclear double resonance, 678

electron spin resonance, 677

electron tubes, 569

electron-hole liquid, 645

electrons

elastic scattering, 63

electron interactions, 233-258, 624, 627,

709,

880

group velocity, 458

in electric field, 459, 479

in magnetic field, 479, 769-791

in polarizable medium, see polarons

nearly free, 208-217

phonon interactions, 671, 859, 880

semiclassical dynamics, see semiclassical

dynamics

tightly bound, 219-227

elementary excitations, 505

elements

table of cohesive energy versus density,

314

table of crystal structures, 19

table of Debye temperatures, 360

table of effective radii, 298

Eliashberg, G. M., 880, 891

Elliot, S. R., 149

Elliott, R. J., 565, 656

ellipsometry, 621

Emin, D., 686

emitter, 596

empty core pseudopotential, see

pseudopotentials

Emsley, J., 5,16, 302, 318

Endo,

J., 795, 893

Endoh, Y., 893

ENDOR, see electron nuclear double

resonance

energy bands, see band structure

energy conservation

inelastic light scattering, 701

optical absorption, 640

phonons, 364

photoemission, 707

energy current, 490

energy density of states, 161

energy gap, 277

CoO,

711

direct, 576

GaAs and GaAlAs, 598

indirect, 576, 636, 652

nearly free electrons, 211

semiconductors, 575, 638-641

table for semiconductors, 577

Urbach tails, 683

entropy

Boltzmann equation, 489

generation rate, 490

ionizing impurities, 581

mixing, 101

polymer chains, 125

superconductivity, 844

two-dimensional dislocations, 396

epitaxy, 78

Ernst, F., 81,94

Ernzerhof,

M., 263

Erzan, A., 94

Esaki, L., 607, 891

Eskes,

H., 719

ESR, see electron spin resonance

Etienne, B., 795

Etienne, P., 836

Ettenberg, M. H., 520

Euler angles, 12

Euler's equation, 413

Euler-Maclaurin theorem, 773

EuO

magnetic susceptibility, 731

eutectic, 106

Evans, A. G., 410

Ewald construction, 55

in two dimensions, 83

Ewald sphere, 55, 58

Ewald summation, 302-304, 316

for metals, 306

Ewald, P. P., 17,47,43,74

EXAFS,

see extended X-ray absorption fine

structure

exchange energy, 306

exchange forces, 737

exchange functionals, 258

exchange integral, 238

exchange interaction, 243, 803

excitons, 576, 641-645

Frenkel, 644, 654, 656

GaAs,

640

Mott-Wannier, 641-644

experiments

bad ideas for, 55, 86, 312, 413, 433

extended states, 540

extended X-ray absorption fine structure, 67

extended zone scheme, 188, 209

external charges, 613

extinctions, 54, 71, 218

F centers, 676

absorption and emission peaks, 677

Index 927

charge density surrounding, 678

F2 center, 679

Faber, T. E., 448

Fabian, Jaroslav, 837

face-centered cubic, see lattices

faceting, 92

Fadeev, L. D., 836

Fahey, P. M, 607

Fairbank, W. M., 850, 852, 891

Fan, Y., 639

Faraday balance, 729

Faraday rotation, 674, 684

fast Fourier transform, 274, 900-902

Fawcett, E., 757

fee,

see lattices, face-centered cubic

ferromagnetism, 736, 814

Mössbauer effect, 375

magnetic anisotropy, 738

magnetic superlattices, 815

magnetic transition, 730

specific heat, 731

102

Fedorov, E., 17,47

Feher, G., 678, 686

Feigel'man, M. V., 890

Feigl, F. J., 607

Fermi energy, 162

table for selected metals, 167

Fermi function, 165,173

graph, 165

experimental measurement, 705

graph of derivative, 168

superconductivity, 872

Fermi level, 162

Fermi liquid parameters, 511-512

table for

He, 515

Fermi liquid theory, 504-516, 520

backflow, 510

effective mass, 508

effective mass relation, 512

first sound, 512

Landau parameters, 511

magnetic susceptibility, 833

scattering time, 506

specific heat, 510

zero sound, 514

Fermi sea, 505, 863

Fermi sphere, 159

Fermi surface, 162, 228

determined from Kohn anomalies, 374

determined from anomalous skin effect,

695

determined from de Haas-van Alphen

effect, 474-476

divergence of scattering time, 506

extremal section, 474

nearly free electrons, 215

nearly free electrons, bec, 217

nearly free electrons, fee, 216

nearly free electrons, hexagonal, 218

open and closed orbits, 470, 471

Fermi temperature, 166

table for selected metals, 167

Fermi velocity, 162

table for selected metals, 167

Fermi wave vector, 159

table for selected metals, 167

Fermi's Golden Rule, 368, 506, 525

Fermi-Dirac statistics, 166

fermion sign problem, 253

Ferrante, J., 318

ferrimagnetism, 731-732

compensation in rare earth garnets, 733

table of data, 732

ferroelectrics, 659-661

ferromagnetism, 730-731

ground state, 832

table of data, 732

transition metals, 811-815

Ferry, D. K., 607

Ferry, J. D., 423, 448

Fert, A., 836

Fetter, A., 628, 631

Feynman, R. P., 448, 686, 836

nodeless ground states, 800

polaron theory, 674

superfluid structure factor, 442

superfluid wave function, 440

FFT, see fast Fourier transform

Fibonacci sequence, 134

Fick's law, 98

field ion microscopy, 85

Field, S. B., 255, 263

filled bands, 494

filling fraction, 789

FIM, see field ion microscopy

Fineberg, J., 410

Fiorito, R. B., 449

Firsov, A. A., 150

first Brillouin zone, 184

first principles, 257

first sound, 512

Fischer, O., 891

Fisher, D. S., 757, 836

Fisher, M. E., 448, 757

critical phenomena, 743

928

Index

superfluid vortices, 439

Fisher, M. P. A., 565

Fisher-Essam relation, 753

Fisk, Z., 837

Fiszdon, W., 449

Flannery, B. P., 902

Fleming, J. A., 567

flicker noise, 530

flint, 233

Flores, F, 263

flow

stress,

425

fluctuation dissipation theorem, 112, 419

fluids

critical phenomena, 749

dilute polymeric solutions, 417

incompressible, 414

mechanics, 413^143

Newtonian, 415

non-Newtonian, 417

table of critical exponents, 750

table of viscosities, 416

viscoelastic, 417

fluorite, see CaFl2

flux, 491

flux

tube,

460, 776

Flynn, C. P., 102, 149,686

Fock, V., 235, 263

force, 491

form factor, 47

form factors, 46, 61

fountain effect, 428

Fourier transform, 614

fast, 274, 900-902

Fowler, A., 607

Fowler, A. B., 607, 794

Fowler, W. B., 677, 686, 687

Foxman, E. B., 606, 608

Foxon, C. T., 608

fractional charge, 790

fracture, see cracks

Franck-Condon effect, 679-683, 685

Frank, C, 410

Frank, F. C, 142, 749,384

Frank-Kasper phases, 142

Franklin, B., 567

Franklin, G. E., 720

Franz, R., 455, 481, 496

free energy

criterion for phase separation, 105

dilute mixtures, 101

double well, 105

elasticity of cubic solids, 326

elasticity of isotropic solids, 328

isolated ion in magnetic field, 766

magnetism derived from, 725-726

phase transitions, 745

polymer chains, 125

polymers with volume interactions, 127

rubber, 322

scaling form for critical phenomena, 751

superconductivity derived from, 841-843

free Fermi gas, 158

Freitas, P. P., 836

Frenkel pair, 676

Frenkel, J., 384, 386, 410

Frenkel-Kontorova model, 386

friction, 335

Friedel model of d band metals, 317

Friedel, J., 410

Friederich, A., 836

Friedrich, W., 43, 74, 341

Friedrichs transition, 338

Friend, R. H., 607

Fritzsche, H., 565, 566

Fröhlich, H., 686, 859, 891

fullerenes, 143

functional derivative, 236, 441, 726, 737, 842,

903

functionals, 903

Furnas, T. C, 73

Furthmiiller, J., xxii, 291, 318

Furuya, K., 835

GaAlAs

deposition, 85

fractional quantum Hall effect, 785, 790

heterostructures, 598

mobility, 600

GaAs

Bloch oscillations, 477

data on optical absorption, 640

deposition, 85

direct gap, 576, 652

energy bands and photoemission, 710

excitons, 644

form of effective mass, 577

fractional quantum Hall effect, 785, 787,

790

growth oscillations, 85

Gunn effect, 653

irreducible representations, 200

mobility, 600

optical absorption, 639

Wannier-Stark ladders, 472

Gaidukhov, Y. P., 503, 520

gain, 648

Galkin, V. Y., 757

Gammaitoni, L., 565

Index

929

gang of four, see Abrahams, E.

Gao,

L., 893

GaP

polaritons, 704

Gardner, J., 109

Gardner, M, 139,749

garlic

magnetic properties, 723

Garno, J. P., 891

Garofalini, S. H., 74, 318

gauge symmetry breaking, 857

gauge transformations

free electrons in electric field, 461

integer Hall effect, 784

superconductivity, 841, 850, 853, 876,

886

Gaussians, 240

Brillouin scattering, 703

charge density, 296

cyclotron data, 637

cyclotron resonance, 636

data on optical absorption, 642

energy bands and photoemission, 709

form of effective mass, 577, 636

holes,

638

indirect gap, 576, 639

irreducible representations, 200

Geballe, T. H., 891

Gehrenbeck, R. K., 74

Geiger, H., 893

Geim, A. K., 16,150

Gell-Mann, M. I., 263

generalized dual method, 148

generalized gradient approximations, 257

geometrical phase, 223-225, 776

Georges, A., 831,836

Gerber, Ch., 94

Gerlach, B., 686

Germer, L. H., 82, 94

Geshkenbein, V. B., 890

GGA, see generalized gradient

approximations

Ghijsen,J., 715, 719

ghosts, 271

Giaever, I., 891

Giamarchi, T., 553, 565, 836

giant magnetoresistance, 815

Giapintzakis, J., 893

Gibbs-Duhem relation, 430, 747

Gibson, J. M., 607

Gilbert, W., 757, 888, 891

Gilman,J.J., 116,750

Ginsberg, D. M., 890, 891, 893

Ginzburg, V. L., 844, 850, 892

Girvan, R. F., 476, 480

Girvin, S. M, 794, 795

Gittings, A. S., 74

Glaberson, W. I., 448

glass

chalcogenides, 120

Glass,

A. M., 686

glasses, 116-120

brittleness, 379

coordination, 119

fragile, 119

metallic, 133, 524

network, 119

strong, 119

transition temperature, 117

Glattli, D. C., 795

Glicksman, M., 719

glide axis, 39

glide line, 12

glide plane, 36, 383

Glinchuk, M. D., 687

Glusker, J. P., 74

Glyde, H. H., 442, 448

Goedsche, F., 837

Gold, A. V., 207, 232, 480

Goldbart,

M, 339

golden mean, 135, 560

Goldenfeld, N., 750, 757, 890

Goldman, A. I., 150

Goldstein, H.,

12,16,

631, 891

Goldstone modes, 343, 805

Goldstone, J., 343, 378, 805, 836

Gollub, J. P., 449

Golub, R., 378

Gomer, R., 81, 94

Gonze, X., 271,297

Goodby, J. W., 410

Goodier, J. N., 339

Gor'kov, L. P., 631, 886, 891

Gordon, J. E., 470

Goiter, C. J., 448

Gossard, A. C., 795

Gould, G., 646

Grünberg, P., 836

grain boundaries, 77, 106

grains, 106

picture, 108

growth of, 145

in isotropic solids, 328

grand canonical ensemble

alloys, 741

electrons in magnetic field, 773

noninteracting electrons, 164,582

930 Index

superconductivity, 865

grand orthogonality theorem, 198

granular materials, 116

graphene, 14

band structure, 284

experimental image, 6

tight binding band structure, 229

graphite, 14,90,283

Gratias, D., 151

Green's functions, 536-542, 833

many-body, 628

one dimension, 537

pictures, 539

two and three dimensions, 538

Green, M. A., 656

Green, M. S., 757, 758

Greene, L. H., 891

Greene, R. L., 891

Greenham, N. C, 607

Greywall, D.S., 515, 520

Grier, D. G., 393, 410

Griffin, P. B., 607

Grigoriev, I. S., 331, 339, 381, 410, 448, 499,

520, 565, 728, 757, 846, 891

Grigorievna, I. V., 150

Grinstein, G. M., 757

Grosberg, A. Y., 150, 417, 448

Gross,

P., 566

Groth, P., 5, 16

ground states, see also cohesive energy

electrons, as ions move, 313

Fermi liquid, 507

free Fermi gas, 172

helium, 427

hydrogen atom, 251

magnetic structure of atom, 763

many noninteracting electrons, 158

normal state instability, 863

proved nondegenerate, 800

three dimensions, 39

two dimensions, 15

group representations, 192-203, 205

character table, 199

characters, 198

classes, 198

grand orthogonality theorem, 198

irreducible, 196

reducible, 196

test for reducibility, 199

group theory, 12, 192-203

point group, 12

translation group, 12

group velocity, 185, 458

divergence in Hartree-Fock, 244

Grubin, H. L., 607

Grüneisen parameter, 362

Grüner, G., 311, 318,836

Guerrier, P., 74

Guggenheim, E. A., 749, 757

Guild, L. J., 565

Guinea, R., 318

Gunn effect, 653

Gunnarsson, O., 263, 891

Gunshor, R. L., 657

Gurevich, A. V., 891

Gurney, R. W., 675, 686

Gustafsson, T., 719

H(hydrogen)

bound states, 643

binding energy, 531

excited state lifetimes, 652

stability of atom, 250

unbound states, 644

Haas,

C, 720

Haasen, P., 150, 409

habit, see crystal habit

Häglund, J. H., 318

Hafner, J., xxii, 281, 282, 285, 297, 313, 318

Hahn, T.,

36,41,

61,74

Hakonen, P., 448

Haldane, F. D. M, 565

Hales,

T.C., 115,750

halides

table of electron affinities, 302

Hall coefficient, 502

Hall effect, 500-504, 519, see also quantum

Hall effect

anomalous, 503-504

Hall, E. H., 500, 520

Halperin, B. I., 392, 410, 758

Hamann, D. R., 574, 607, 835

Hamilton's equations, 483

Hamilton, W. C, 73

Hamiltonian

Anderson model for magnetic impurity,

820

atom in magnetic field, 761

Bardeen-Cooper-Schrieffer, 865

Bose gas, 446

correlated transition metal oxide, 713

Franck-Condon effect, 681

free electrons in magnetic field, 787

harmonic oscillator, 352

Heisenberg, 802

Heitler-London, 799

Hubbard, 829

Kondo, 825

Index

Kosterlitz-Thouless, 397

localization, 544

Mott-Wannier excitons, 643

much of condensed matter physics, 155

phonons, 353

second quantized, 908

semiclassical electron dynamics, 470

single electron in periodic potential, 176

single-electron model, 157

tight-binding, 226, 535-551

tight-binding in magnetic field, 777

Hanmura, E., 657

Hanna, S. S., 378, 758

Hansen, J., 891

Hansen, M., 103,150

hard spheres, 116

Harrison construction, 215

Harrison, W. A., 215

Hartree equation, 234, 258

Hartree, D. R., 232, 234, 263

Hartree-Fock equations, 235-244

Hass,

K. C, 892

Hassager, O., 447

Hassani, S., 903, 906

Haüy, R. J., 16

Haule, K., 831, &3S

Haupt, U., 684, 686

Hauptman, H. A., 74

Haüy, R. J., 3, 5

Hayakawa, H., 892

Hayes, T. M., 74

hep,

see lattices, hexagonal close-packed

He,