Introduction and Overview
1.1 Major phenomena, concepts and their historical development
1.2 Solitons and topological matter
1.3 How to use this book
Part I Ordered Phases of Condensed Matter Disrupted by Topological Defects
2 The Phenomenological (Landau) Description of the Ordered Condensed Matter from Magnets to Bose Condensates
2.1 Energetics of the spontaneous ordering
2.2 How do inhomogeneities, fluctuations and external fields affect the condensate?
2.3 The order parameter field equations and their boundary conditions
3 Simplest Topological Defects
3.1 Domain wall in the Ising universality class
3.2 Characteristic scales and dimensionless form of the field equations
3.3 Single vortex in a 2D XY magnet or superconductor
*4 Topological Defects and Their Classification
4.1 Topological analysis of the vortex and homotopy group
4.2 Coreless (type II) topological solitons
Part II Structure of the Topological Matter Created by Gauge Field
5 Repulsion between Solitons and Viable Vortex Matter Created by a Gauge Field
5.1 Interactions between the φ4 vortices, difficulty to create the soliton matter
5.2 The order parameter coupled to a gauge field
5.3 Two homogeneous phases of a superconductor under magnetic field and their excitations
6 Finite Energy of Abrikosov Vortices Created by the Magnetic Field
6.1 Negative Gibbs energy of the normal-superconducting interface in type II superconductors
6.2 London approximation in gauge theories
6.3 Abrikosov vortex solution
7 Structure and Magnetization of the Vortex Lattice within London Approximation
7.1 Multi-vortex configurations within London approximation and formation of the vortex lattice
7.2 Vortex lattice
7.3 Sparse and intermediate density vortex lattice, a )) ζ
*8 Structure and Magnetization of the Vortex Lattice within Abrikosov Approximation
8.1 Dense topological matter a (( A and the lowest Landau level approximation
8.2 Digression: symmetry in a gauge field
8.3 Energy and magnetization of a lattice structure and current distribution in an LLL configuration
8.4 The bifurcation point perturbation theory at He2
Part III Excitation Modes of Condensate: Elasticity and Stability of the Topological Matter
9 Linear Stability Analysis of the Homogeneous States
9.1 General idea of the linear stability analysis and the linear waves
9.2 Waves in homogeneous condensates
10 Stability and the Excitation Spectrum of the Single Soliton and the
Vortex Lattice
10.1 Spectrum of excitations of single topological soliton
* 10.2 The vortex lattice magneto-phonons at intermediate densities
* 10.3 Dense lattice and supersoft Goldstone modes
11 Forces on Solitons, Pinning and Elasticity of the Vortex Matter
11.1 External force on a single soliton and pinning
11.2 Elastic moduli of the vortex lattice
11.3 Elasticity of fields within Abrikosov approximation
Part IV Dynamics of Condensates and Solitary Waves
12 Dynamics of the Order Parameter Field
12.1 General type A dynamics
12.2 The relaxation time and dissipation
13 Solitary Waves
13.1 Solitary waves in GL model
13.2 Viscosity of the moving vortex
*14 Viscous Flow of the Abrikosov Flux Lattice
14.1 Time dependent GL equations in the presence of electromagnetic field
14.2 Structure and I-V characteristics of the dense moving lattice
14.3 The resistivity of the flux flow state
Part V Thermal Fluctuations
15 Statistical Physics of Mesoscopic Degrees of Freedom
15.1 Statistical theory of thermal fluctuations of a point-like object.
15.2 Thermal fluctuations of an extended object described by the path integral
15.3 Mesoscopic thermal fluctuations of the order parameter field
15.4 Gaussian fluctuations effects in a homogeneous cond

由巴鲁赫·儒森斯坦、李定平编著的《量子凝聚体及其拓扑物态的Ginzbury-Landau理论(英文版)》从Ginzburg－Landau理论出发，讨论了电磁场中的第二类超导体的热力学。运用对于刻画正常相变线的参数的展开，导出了Abrikosov磁通格子解。本书在细节上确定了磁场中的涡旋物质的相图。在存在介观尺度显著热涨落的情况下，涡旋晶体融化成涡旋液体。运用最低朗道能级近似，本书给出了热涨落的定量理论，这使得确定融化线、融化中的不连续现象以及涡旋液态的一些重要性质成为可能。在存在淬致无序的情况下，涡旋物质会获得某些玻璃样的性质。本书还运用“replica”方法研究了不可逆线和涡旋玻璃态的静态性质。本书详细介绍了大部分解析方法。各种定量和定性的结果都和第二类超导体的实验结果做了对比。