Ginzburg-Landau Theory of the Quantum Condensate

1 Introduction and Overview

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

3 Simplest Topological Defects

?4 Topological Defects and Their Classification

Part II Structure of the Topological Matter Created by

Gauge Field

5 Repulsion between Solitons and Viable Vortex Matter Created by a Gauge Field?

6 Finite Energy of Abrikosov Vortices Created by the Magnetic Field

7 Structure and Magnetization of the Vortex Lattice within London

Approximation

?8 Structure and Magnetization of the Vortex Lattice within Abrikosov

Approximation

Part III Excitation Modes of Condensate: Elasticity and Stability of the Topological Matter

9 Linear Stability Analysis of the Homogeneous States

10 Stability and the Excitation Spectrum of the Single Soliton and the Vortex Lattice

11 Forces on Solitons, Pinning and Elasticity of the Vortex Matter

Part IV Dynamics of Condensates and Solitary Waves

12 Dynamics of the Order Parameter Field

13 Solitary Waves

?14 Viscous Flow of the Abrikosov Flux Lattice

Part V Thermal Fluctuations

15 Statistical Physics of Mesoscopic Degrees of Freedom

16 The Landau-Wilson Approach to Statistical Physics of the Interacting Field Fluctuations

17 Thermal Fluctuations in the Vortex Matter

Appendix

1 Abrikosov quasi-momentum functions averages

2 Calculation of gaussian integrals

3 Sparse matrices and their determinants

General References