- 凝聚态物理学场论(第2版)(英文版)
- - 作者：(美)E.弗拉德金
  - 出版社：世界图书出版公司
  - ISBN：9787519264185
  - 出版日期：2019/09/01
  - 页数：838
- 售价：75.6

内容大纲
本书用量子场论的概念阐述了凝聚态中最具挑战的物理学问题，内容论及重正化群、Luttinger液体、规范理论、拓扑流体、拓扑绝缘体和量子纠缠。本书从基本概念入手，依次将读者带入当今物理领域的研究前沿，如物质的拓扑相，量子与经典临界现象，量子霍尔效应和超导。同时，书中还包括一维强相关系统，量子有序相和无序相，以及凝聚态、场论和分形统计学中的拓扑结构。本书主要面向凝聚态、高能物理和弦理论领域，以及数学领域的科技工作者。
作者介绍
目录
Preface to the second edition
Preface to the first edition
1  Introduction
    1.1   Field theory and condensed matter physics
    1.2   What has been included in this book (first edition)
    1.3   What was left out of the first edition
    1.4   What has been included in the second edition
2  The Hubbard model
    2.1   Introduction
    2.2   Symmetries of the Hubbard model
    2.3   The strong-coupling limit
    2.4   The weak-coupling limit
    2.5   Correlation functions
3  The magnetic instability of the Fermi system
    3.1   Mean-field theory
    3.2   Path-integral representation of the Hubbard model
    3.3   Path integrals and mean-field theory
    3.4   Fluctuations: the non-linear sigma model
    3.5   The Neel state and the non-linear sigma model
4  The renormalization group and scaling
    4.1   Scale invariance
    4.2   Examples of fixed points
    4.3   Scaling behavior of physical observables
    4.4   General consequences of scale invariance
    4.5   Perturbative renormalization group about a fixed point
    4.6   The Kosterlitz renormalization group
5  One-dimensional quantum antiferromagnets
    5.1   The spin- 1/2 Heisenberg chain
    5.2   Fermions and the Heisenberg model
    5.3   The quantum Ising chain
    5.4   Duality
    5.5   The quantum Ising chain as a free-Majorana-fermion system
    5.6   Abelian bosonization
    5.7   Phase diagrams and scaling behavior
6  The Luttinger liquid
    6.1   One-dimensional Fermi systems
    6.2   Dirac fermions and the Luttinger model
    6.3   Order parameters of the one-dimensional electron gas
    6.4   The Luttinger model: bosonization
    6.5   Spin and the Luttinger model
    6.6   Scaling and renormalization in the Luttinger model
    6.7   Correlation functions of the Luttinger model
    6.8   Susceptibilities of the Luttinger model
7  Sigma models and topological terms
    7.1   Generalized spin chains: the Haldane conjecture
    7.2   Path integrals for spin systems: the single-spin problem
    7.3   The path integral for many-spin systems
    7.4   Quantum ferromagnets
    7.5   The effective action for one-dimensional quantum antiferromagnets
    7.6   The role of topology

    7.7   Quantum fluctuations and the renormalization group
    7.8   Asymptotic freedom and Haldane's conjecture
    7.9   Hopf term or no Hopf term?
    7.10  The Wess-Zumino-Witten model
    7.11  A (brief) introduction to conformal field theory
    7.12  The Wess-Zumino-Witten conformal field theory
    7.13  Applications of non-abelian bosonization
8  Spin-liquid states
    8.1   Frustration and disordered spin states
    8.2   Valence bonds and disordered spin states
    8.3   Spinons, holons, and valence-bond states
    8.4   The gauge-field picture of the disordered spin states
    8.5   Flux phases, valence-bond crystals, and spin liquids
    8.6   Is the large-N mean-field theory reliable?
    8.7   SU(2) gauge invariance and Heisenberg models Gauge theory, dimer models, and topological phases
    9.1   Fluctuations of valence bonds: quantum-dimer models
    9.2   Bipartite lattices: valence-bond order and quantum criticality
    9.3   Non-bipartite lattices: topological phases
    9.4   Generalized quantum-dimer models
    9.5   Quantum dimers and gauge theories
    9.6   The Ising gauge theory
    9.7   The Z2 confining phase
    9.8   The Ising deconfining phase: the Z2 topological fluid
    9.9   Boundary conditions and topology
    9.10  Generalized Z2 gauge theory: matter fields
    9.11  Compact quantum electrodynamics
    9.12  Deconfinement and topological phases in the U(1) gauge theory
    9.13  Duality transformation and dimer models
    9.14  Quantum-dimer models and monopole gases
    9.15  The quantum Lifshitz model
10 Chiral spin states and anyons
    10.1  Chiral spin liquids
    10.2  Mean-field theory of chiral spin liquids
    10.3  Fluctuations and flux phases
    10.4  Chiral spin liquids and Chern-Simons gauge theory
    10.5  The statistics of spinons
    10.6  Fractional statistics
    10.7  Chern-Simons gauge theory: a field theory of anyons
    10.8  Periodicity and families of Chern-Simons theories
    10.9  Quantization of the global degrees of freedom
    10.10  Flux phases and the fractional quantum Hall effect
    10.11  Anyons at finite density
   10.12 The Jordan-Wigner transformation in two dimensions
11 Anyon superconductivity
   11.1  Anyon superconductivity
   11.2  The functional-integral formulation of the Chern-Simons theory
   11.3  Correlation functions
   11.4  The semi-classical approximation
   11.5  Effective action and topological invariance
12 Topology and the quantum Hall effect

    12.1  Quantum mechanics of charged particles in magnetic fields
    12.2  The Hofstadter wave functions
    12.3  The quantum Hall effect
    12.4  The quantum Hall effect and disorder
    12.5  Linear-response theory and correlation functions
    12.6  The Hall conductance and topological invariance
    12.7  Quantized Hall conductance of a non-interacting system
    12.8  Quantized Hall conductance of Hofstadter bands
13 The fractional quantum Hall effect
    13.1  The Laughlin wave function
    13.2  Composite particles
    13.3  Landau-Ginzburg theory of the fractional quantum Hall effect
    13.4  Fermion field theory of the fractional quantum Hall effect
    13.5  The semi-classical excitation spectrum
    13.6  The electromagnetic response and collective modes
    13.7  The Hall conductance and Chern-Simons theory
    13.8  Quantum numbers of the quasiparticles: fractional charge
    13.9  Quantum numbers of the quasiparticles: fractional statistics
14 Topological fluids
    14.1  Quantum Hall fluids on a toms
    14.2  Hydrodynamic theory
    14.3  Hierarchical states
    14.4  Multi-component abelian fluids
    14.5  Superconductors as topological fluids
    14.6  Non-abelian quantum Hall states
    14.7  The spin-singlet Halperin states
    14.8  Moore-Read states and their generalizations
    14.9  Topological superconductors
    14.10  Braiding and fusion
15 Physics at the edge
    15.1  Edge states of integer quantum Hall fluids
    15.2  Hydrodynamic theory of the edge states
    15.3  Edges of general abelian quantum Hall states
    15.4  The bulk--edge correspondence
    15.5  Effective-field theory of non-abelian states
    15.6  Tunneling conductance at point contacts
    15.7  Noise and fractional charge
    15.8  Quantum interferometers
    15.9  Topological quantum computation
16 Topological insulators
    16.1  Topological insulators and topological band structures
    16.2  The integer quantum Hall effect as a topological insulator
    16.3  The quantum anomalous Hall effect
    16.4  The quantum spin Hall effect
    16.5  Z2 topological invariants
    16.6  Three-dimensional topological insulators
    16.7  Solitons in polyacetylene
    16.8  Edge states in the quantum anomalous Hall effect
    16.9  Edge states and the quantum spin Hall effect
    16.10  Z2 topological insulators and the parity anomaly

    16.11  Topological insulators and interactions
    16.12  Topological Mott insulators and nematic phases
    16.13  Topological insulators and topological phases
17 Quantum entanglement
   17.1  Classical and quantum criticality
   17.2  Quantum entanglement
   17.3  Entanglement in quantum field theory
   17.4  The area law
   17.5  Entanglement entropy in conformal field theory
   17.6  Entanglement entropy in the quantum Lifshitz universality class
   17.7  Entanglement entropy in φ4 theory
   17.8  Entanglement entropy and holography
   17.9  Quantum entanglement and topological phases
   17.10  Outlook
   References
   Index

内容大纲

作者介绍

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