Book Title:  Modern Condensed Matter Physics 
Book Author:  STEVEN M. GIRVIN, KUN YANG 
Book Pages:  721 
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Language:  English 
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Modern Condensed Matter Physics
Book Description
“Modern Condensed Matter Physics” by Steven M. Girvin and Kun Yang is a comprehensive and indepth exploration of the fundamental principles, theories, and experimental methods in the field of condensed matter physics. The book is organized into multiple chapters, each covering a specific aspect of condensed matter physics, and it offers readers a thorough understanding of the subject. Below is the detailed book description to capture its main topics and key areas of focus:
Chapter 1: Overview of Condensed Matter Physics
The book starts by providing an essential overview of condensed matter physics. It defines the field, its goals, and its significance in understanding and manipulating the physical properties of matter in various forms.
Chapter 2: Classification of Condensed Matter Systems
This chapter delves into the classification and phases of condensed matter systems, considering atomic spatial structures and electronic properties. Readers gain insights into the different states of matter, such as solids, liquids, and gases, and how they relate to the underlying atomic and electronic structures.
Chapter 3: Spatial Structure
The book explores the spatial structure of condensed matter systems. It discusses how experimental techniques, such as Xray scattering and neutron scattering, can be used to probe the atomic arrangements in solids, as well as the significance of spatial correlations and the distinction between the liquid and crystal states.
Chapter 4: Lattices and Symmetries
Readers are introduced to the concept of lattices and symmetries in crystalline materials. This chapter covers topics like Bravais lattices, reciprocal lattices, and their relation to Xray scattering. It also touches on the effects of lattice fluctuations.
Chapter 5: Dynamics of Lattice Vibrations
This chapter focuses on the dynamics of lattice vibrations in crystalline materials. It explores topics such as elasticity, sound modes, and the quantum theory of harmonic crystals. The DebyeWaller factor and the Mössbauer effect are also discussed.
Chapter 6: Electronic Structure of Crystals
Here, the book delves into the electronic structure of crystalline materials. It covers fundamental models like the Drude theory, independent electron model, and Bloch’s theorem. The tightbinding method is introduced as a tool to describe electronic band structures, and various phenomena, including band gaps, Van Hove singularities, and spinorbit coupling, are explained.
Chapter 7: Semiclassical Transport Theory
This chapter transitions to the study of semiclassical transport theory in materials. Readers explore the behavior of Bloch electrons in different bands, the Boltzmann equation, and thermoelectric effects in semiconductors.
Chapter 8: Semiconductors
A detailed examination of semiconductors follows. The book covers various aspects of semiconductor physics, including impurity levels, optical processes, and the operation of pn junctions. Applications like lightemitting diodes, solar cells, and fieldeffect transistors are explained.
Chapter 9: Nonlocal Transport in Mesoscopic Systems
This chapter focuses on nonlocal transport in mesoscopic systems. The Landauer formula, conductance quantization, and universal conductance fluctuations are discussed, along with the concept of noise in mesoscopic systems and Anderson localization.
Chapter 10: Quantum Monte Carlo Methods
The book then shifts its attention to quantum Monte Carlo methods. It covers the path integral representation of quantum mechanics, the Hubbard model, and the secondquantized Hamiltonians, along with various quantum effects and interactions.
Chapter 11: Quantum Phase Transitions
Readers are introduced to quantum phase transitions and the associated theoretical and experimental aspects. Topics like quantum critical points and scaling theory of localization are explored in detail.
Chapter 12: Advanced Topics
This chapter offers an advanced overview of topics such as cold atoms, superconductors, novel orders, superfluidity, quantum antiferromagnets, the Hubbard model, and more.
Chapter 13: Conclusion
The book concludes by summarizing its content and providing readers with a comprehensive understanding of modern condensed matter physics.
“Modern Condensed Matter Physics” provides a thorough and accessible foundation for students, researchers, and physicists interested in the complexities of condensed matter systems. It covers a wide range of topics, from the basic principles of crystallography and electronic band structures to advanced topics like quantum phase transitions and quantum Monte Carlo methods. With its detailed explanations and comprehensive coverage, this book is an invaluable resource for anyone seeking to explore the fascinating world of condensed matter physics.
Book Contents
 Overview of Condensed Matter Physics
 Definition of Condensed Matter and Goals of Condensed Matter Physics
 Classification (or Phases) of Condensed Matter Systems
 Atomic Spatial Structures
 Electronic Structures or Properties
 Symmetries
 Beyond Symmetries [bend]
 Theoretical Descriptions of Condensed Matter Phases
 Experimental Probes of Condensed Matter Systems
 Spatial Structure
 Probing the Structure
 Semiclassical Theory of XRay Scattering
 Quantum Theory of Electron–Photon Interaction and XRay Scattering [bend]
 XRay Scattering from a Condensed Matter System
 Relationship of S([vector(q)]) and Spatial Correlations
 Liquid State versus Crystal State
 Lattices and Symmetries
 The Crystal as a BrokenSymmetry State
 Bravais Lattices and Lattices with Bases
 Bravais Lattices
 Lattices with Bases
 Lattice Symmetries in Addition to Translation
 Reciprocal Lattices
 XRay Scattering from Crystals
 Effects of Lattice Fluctuations on XRay Scattering
 Notes and Further Reading
 Neutron Scattering
 Introduction to Neutron Scattering
 Inelastic Neutron Scattering
 Dynamical Structure Factor and fSum Rule
 Classical Harmonic Oscillator
 Quantum Harmonic Oscillator
 SingleMode Approximation and Superfluid [sup(4)]He
 Dynamics of Lattice Vibrations
 Elasticity and Sound Modes in Continuous Media
 Adiabatic Approximation and Harmonic Expansion of Atomic Potential
 Classical Dynamics of Lattice Vibrations
 Quantum Theory of Harmonic Crystals
 Heat Capacity
 Canonical Quantization of Lattice Vibrations
 Quantum Dynamical Structure Factor
 Debye–Waller Factor and Stability of Crystalline Order
 Mössbauer Effect
 Electronic Structure of Crystals
 Drude Theory of Electron Conduction in Metals
 Independent Electron Model
 Bloch’s Theorem
 Band Gaps and Bragg Reflection
 Van Hove Singularities
 Velocity of Bloch Electrons
 TightBinding Method
 Bonds vs. Bands
 Wannier Functions
 Continuum Limit of TightBinding Hamiltonians
 Limitations of the TightBinding Model
 s–d Hybridization in Transition Metals [bend]
 Graphene Band Structure
 Polyacetylene and the Su–Schrieffer–Heeger Model
 Dirac electrons in 1D and the Peierls instability
 GroundState Degeneracy and Solitons
 Zero Modes Bound to Solitons
 Quantum Numbers of Soliton States and Spin–Charge Separation
 Thermodynamic Properties of Bloch Electrons
 Specific Heat
 Magnetic Susceptibility
 Spin–Orbit Coupling and Band Structure
 Photonic Crystals
 Optical Lattices
 Oscillator Model of Atomic Polarizability
 Quantum Effects in Optical Lattices
 Semiclassical Transport Theory
 Review of Semiclassical Wave Packets
 Semiclassical WavePacket Dynamics in Bloch Bands
 Derivation of Bloch Electron Equations of Motion [bend]
 Zener Tunneling (or Interband Transitions)
 Holes
 Uniform Magnetic Fields
 Quantum Oscillations
 Semiclassical [vecter(E)] X [vecter(B)] Drift
 The Boltzmann Equation
 Boltzmann Transport
 Einstein Relation
 Thermal Transport and Thermoelectric Effects
 Semiconductors
 Homogeneous Bulk Semiconductors
 Impurity Levels
 Optical Processes in Semiconductors
 AngleResolved Photoemission Spectroscopy
 The p–n Junction
 LightEmitting Diodes and Solar Cells
 Other Devices
 Metal–Oxide–Semiconductor FieldEffect Transistors (MOSFETs)
 Heterostructures
 Quantum Point Contact, Wire and Dot
 Notes and Further Reading
 Nonlocal Transport in Mesoscopic Systems
 Introduction to Transport of Electron Waves
 Landauer Formula and Conductance Quantization
 Multiterminal Devices
 Universal Conductance Fluctuations
 Transmission Eigenvalues
 UCF Fingerprints
 Noise in Mesoscopic Systems
 Quantum Shot Noise
 Dephasing
 Anderson Localization
 Absence of Diffusion in Certain Random Lattices
 Classical Diffusion
 Semiclassical Diffusion
 Review of Scattering from a Single Impurity
 Scattering from Many Impurities
 Multiple Scattering and Classical Diffusion
 Quantum Corrections to Diffusion
 RealSpace Picture
 Enhanced Backscattering
 Weak Localization in 2D
 Magnetic Fields and
 Quantum Coherence
 Quantum Hall Effects
 Quantum Hall Resistance [bend]
 TwoDimensional Electron Gas
 Magnetic Fields
 Composite Fermions
 Reentrance at ν = 5/2
 TwoSpecies Hall Effect
 Metal–Insulator Transition in 2D
 Percolation Threshold and the Correlation Length [bend]
 Disordered 2D Electron Gas
 Band Gaps and Unconventional Quantum Hall Effects
 Quantum Phase Transitions
 Critical Theory
 Scaling Theory of Localization
 ScaleInvariant Quantity and Fractal Dimension
 Spatial Scale Invariance
 Dimension
 Dynamic Scaling
 PowerLaw Dependence of Conduction at the Transition
 Conductance Distribution in 1D
 NonInteger Exponents
 Conductance Universality
 Localization in 1D
 Correlation Functions
 Correlation Length
 Geometric and Quantum Phases
 Phase of the Harmonic Oscillator
 WKB Tunneling Probability
 Exponential Damping of Wave Functions
 TimeReversal Symmetry
 TimeReversal Symmetry of the Dirac Equation
 TwoSpecies Quantum Hall Effect [bend]
 Superconductivity and Quantum Hall Transitions
 Experimental Tests of the Scaling Theory
 AC Measurement of [vecter(g)]
 Quantum Localization of Sound [bend]
 TwoParameter Scaling
 Soft Modes
 Quantum Percolation [bend]
 Scaling Theory of Localization: Exact Results
 Notes and Further Reading
 Quantum Monte Carlo Methods
 Path Integral Representation of Quantum Mechanics
 Hubbard Model and the HalfFilled Band
 TwoComponent Fermion System [bend]
 Density Matrix
 The Path Integral for Bosons
 Green Function of the Hubbard Model
 Pauli Paramagnetism of Free Electrons [bend]
 Model of Spin Dynamics
 Electron Density
 Propagator of Fermion System
 Excitons [bend]
 Diagrammatic Series
 SecondQuantized Hamiltonians and Operator Diagrams [bend]
 Operators and Second Quantization
 Time Evolution Operator in Interaction Picture
 Interactions
 Luttinger–Ward Functional
 Pairing Field: Antiferromagnetism and Superconductivity
 Hartree–Fock Approximation
 Phases in Systems with Competing Orders
 Overview of the Book
 Acknowledgments [bend]
 Chapter 1: Cold Atoms [bend]
 Chapter 2: Superconductors [bend]
 Chapter 3: Novel Orders [bend]
 Chapter 4: Superfluidity and Supersolids [bend]
 Chapter 5: Quantum Antiferromagnets [bend]
 Chapter 6: Hubbard Model [bend]
 Chapter 7: Boson Hubbard Model [bend]
 Chapter 8: Path Integral QMC for Fermions [bend]
 Chapter 9: Path Integral QMC for Bosons [bend]
 Chapter 10: Determinant QMC and Other Methods [bend]
 Chapter 11: Spin and Fermion Ladders and Applications [bend]
 Chapter 12: FermionHardCore Boson and Other Hamiltonians [bend]
 Chapter 13: Quantum Phase Transitions: Experiments [bend]
 Chapter 14: Quantum Phase Transitions: Theory [bend]
 Chapter 15: Fermion Superfluids [bend]
 Chapter 16: Quantum Antiferromagnetism: Theoretical Approaches [bend]
 Chapter 17: FermionHardCore Boson: Experiments [bend]
 Chapter 18: FermionHardCore Boson: Theory [bend]
 Chapter 19: Lattice Bose Gas [bend]
 Chapter 20: PhaseSeparated States [bend]
 Chapter 21: Polyacetylene and the Su–Schrieffer–Heeger Model [bend]
 Chapter 22: Quantum Oscillations in Metals [bend]
 Chapter 23: Graphene Band Structure [bend]
 Chapter 24: Luttinger Liquid Theory [bend]
 Chapter 25: Quantum Critical Points [bend]
 Chapter 26: Quantum Monte Carlo Methods: Review and Discussion [bend]
 Chapter 27: Path Integral QMC and Realistic Applications [bend]
 Chapter 28: Randomness, Geometry, and Quantum Hall Effect [bend]
 Chapter 29: Quantum Localization of Sound Waves [bend]
 Chapter 30: Localization of Electrons in Disordered Media [bend]
 Chapter 31: Kondo Effect [bend]
 Chapter 32: Scaling Theory of Localization [bend]
 Chapter 33: Quantum Hall Systems [bend]
 Chapter 34: Localization: Exact Results and the Landauer Formula [bend]
 Chapter 35: Prologue to Modern Day: The General Theory of Conductance [bend]
 Chapter 36: Spectral and Transport Properties [bend]
 Chapter 37: Optical and Thermal Conductivity [bend]
 Chapter 38: Quantum Oscillations in Metals [bend]
 Chapter 39: Thermoelectric Effects
 Tables
 Index
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