Advanced Solid State Physics / Edition 1

by Philip Phillips

Overview

Professor Phillips provides an accurate exploration and solid foundation for students and researchers of this fast-growing field.
Solid state physics continues to be the fastest-growing sub-discipline in physics. This much anticipated new book provides ample background that underpins the principles of solid state physics, and moves quickly to an overview of current research in this fast-moving field. Upper division undergraduates and graduate students in physics who wish to pursue solid state physics research must master old topics, as well as problems of current interest. This book serves that purpose, and fills students' needs.

Author Biography: Phil Phillips received his bachelor's degree in chemistry and mathematics from Walla Walla College in 1979 and his Ph.D. in physical chemistry from the University of Washington in 1982. After a Miller Fellowship at Berkeley, he joined the faculty in the Department of Chemistry at Massachusetts Institute of Technology (19841993). Professor Phillips came to the University of Illinios Department of Physics in 1993. He is the recipient of the Edward A. Bouchet Award of the American Physcial Society (2000), Beckman Associate at Center for Advanced Study (1999), Senir Xerox Faculty Research Award (1998), Miller Postdoctoral Fellowship at University of California, Berkeley (19814). He is the author of numerous scientific papers. This is his first book.

Product Details

ISBN-13:	9780367007386
Publisher:	CRC Press
Publication date:	09/13/2019
Pages:	400
Product dimensions:	6.62(w) x 9.50(h) x (d)

About the Author

Philip Phillips is Professor of Physics at the University of Illinois. As a theoretical condensed matter physicist he has an international reputation for his work on transport in disordered and strongly correlated low-dimensional systems.

Table of Contents

	Foreword	ix
	Preface	xi
Chapter 1	Noninteracting Electron Gas	1
	Problems	8
Chapter 2	Born-Oppenheimer Approximation	9
2.1	Basic Hamiltonian	9
2.2	Adiabatic Approximation	10
2.3	Reduced-Electron Problem	15
	References	15
Chapter 3	Second Quantization	17
3.1	Bosons	17
3.2	Fermions	19
3.3	Fermion Operators	20
	Problems	24
	References	25
Chapter 4	Hartree-Fock Approximation	27
4.1	Noninteracting Limit	27
4.2	Hartree-Fock Approximation	29
4.3	Diagrams	32
	Problems	33
	References	33
Chapter 5	Interacting Electron Gas	35
5.1	Uniform Electron Gas	36
5.2	Hartree-Fock Excitation Spectrum	39
5.3	Cohesive Energy of Metals	41
5.4	Summary	49
	Problems	49
	References	50
Chapter 6	Local Magnetic Moments in Metals	53
6.1	Local Moments: Phenomenology	53
6.2	Mean-Field Solution	57
6.3	Summary	69
	Problems	69
	References	70
Chapter 7	Quenching of Local Moments: The Kondo Problem	71
7.1	Kondo Hamiltonian	74
7.2	Why Is J Negative?	75
7.3	Scattering and the Resistivity Minimum	80
7.4	Electron-Impurity Scattering Amplitudes	88
7.5	Kondo Temperature	94
7.6	Poor Man's Scaling	97
7.7	Summary	106
7.8	Appendix: The Schrieffer-Wolff Transformation	106
	Problems	112
	References	112
Chapter 8	Screening and Plasmons	115
8.1	Thomas-Fermi Screening	115
8.2	Plasma Oscillations	118
8.3	Linear-Response Theory	121
8.4	Dielectric-Response Function	127
8.5	Stopping Power of a Plasma	141
8.6	Summary	146
	Problems	146
	References	147
Chapter 9	Bosonization	149
9.1	Luttinger Liquid	150
9.2	Pair Binding: Can Electrons Do It Alone?	165
9.3	Excitation Spectrum	167
9.4	Summary	172
	Problems	173
	References	173
Chapter 10	Electron-Lattice Interactions	175
10.1	Harmonic Chain	175
10.2	Acoustic Phonons	178
10.3	Electron-Phonon Interaction	179
10.4	Ultrasonic Attenuation	184
10.5	Electrical Conduction	186
10.6	Hydrodynamic Limit: Phonon Drag	197
10.7	Sound Propagation	199
10.8	Summary	202
	Problems	203
	References	203
Chapter 11	Superconductivity	205
11.1	Superconductivity: Phenomenology	206
11.2	Electron-Phonon Effective Interaction	214
11.3	Model Interaction	217
11.4	Cooper Pairs	219
11.5	Fermi-Liquid Theory	224
11.6	Pair Amplitude	228
11.7	BCS Ground State	234
11.8	Pair Fluctuations	237
11.9	Ground State Energy	239
11.10	Critical Magnetic Field	243
11.11	Energy Gap	244
11.12	Quasi-Particle Excitations	247
11.13	Thermodynamics	251
11.14	Experimental Applications	256
11.15	Josephson Tunneling	271
11.16	Summary	273
	Problems	274
	References	275
Chapter 12	Localization: The Strong, the Weak, and the Defiant	277
12.1	Primer on Localization	278
12.2	Strong Localization: The Anderson Transition	281
12.3	Scaling Theory	285
12.4	Weak Localization	291
12.5	The Defiant: Exceptions to Localization	299
12.6	Summary	313
	Problems	313
	References	315
Chapter 13	Quantum Phase Transitions	319
13.1	Quantum Rotor Model	322
13.2	Scaling	324
13.3	Mean-Field Solution	328
13.4	Landau-Ginsburg Theory	335
13.5	Transport Properties	340
13.6	Experiments	342
13.7	Summary	345
	Problems	346
	References	347
Chapter 14	Quantum Hall Effect	349
14.1	What Is Quantum about the Hall Effect?	349
14.2	Landau Levels	354
14.3	The Role of Disorder	357
14.4	Currents at the Edge	359
14.5	Laughlin Liquid	364
14.6	Summary	372
	References	372
	Index	375

Editorial Reviews

Phillips (physics, U. of Illinois) provides an introduction to the growing sub-discipline of solid state physics. Emphasizing theory over techniques and focusing on non-controversial topics, he develops the equations and provides the background in such areas as Born- Oppenheimer approximation, Hartree-Fock approximation, interacting electron gas, local magnetic moments in metals, quenching of local moments, screening and plasmons, bosonization, electron-lattice interactions, superconductivity, quantum phase transitions, and quantum Hall effect Annotation c. Book News, Inc., Portland, OR

"This book has an excellent choice of both traditional and modern topics, which is not found elsewhere. Students and researchers will find it to be a valuable introduction to advanced solid state physics. The text is lucidly written, and there are many supplementary exercises for students to enhance their understanding."
Sudip Chakravarty, Distinguished Professor and David S. Saxon Presidential Term Chair of Physics, University of California Los Angeles

"The book is very carefully written, typeset and illustrated. I consider the author's treatment of the material a complete didactic success. He puts lots of effort in making the complicated theoretical framework and the necessary mathematical manipulations as transparent as possible. He also does an excellent job in explaining the underlying physics … I can recommend the book to anyone interested in a theoretical understanding of many-body effects in solid state physics. Its wide coverage of topics and its didactic approach will help beginning graduate students in the field become familiar with this important research area."
Thomas Peters, Contemporary Physics

"The book provides an up-to-date and lucid presentation of modern advanced-level solid state physics."
Utkir Rozikov, Zentralblatt MATH

"[This book] has an excellent mixture between modern and traditional topics, with emphasis on strongly correlated phenomena … The presentation of the subjects is very pleasing, with important formulas in gray boxes, simple illustrations and instructive tables. Numerous exercises help to deepen the understanding and give additional background on modern developments like, for example, graphene … an ideal textbook for getting acquainted with the most important methods and concepts in modern condensed matter physics …"
Matthias Eschrig, Journal of Applied Crystallography

From the Publisher