Multi-Component Ginzburg-Landau Theory: Microscopic Derivation and Examples

Multi-component Ginzburg-Landau theory: microscopic derivation and examples

This paper consists of three parts. In part I, we microscopically derive Ginzburg– Landau (GL) theory from BCS theory for translation-invariant systems in which multiple types of superconductivity may coexist. Our motivation are unconventional superconductors. We allow the ground state of the effective gap operator KTc + V to be n-fold degenerate and the resulting GL theory then couples n order...

(0,2) Landau-ginzburg Theory ⋆

A large class of (0,2) Calabi-Yau σ-models and Landau-Ginzburg orbifolds are shown to arise as different “phases” of supersymmetric gauge theories. We find a phenomenon in the Landau-Ginzburg phase which may enable one to understand which Calabi-Yau σ-models evade destabilization by worldsheet instantons. Examples of (0,2) LandauGinzburg vacua are analyzed in detail, and several novel features ...

Microscopic Derivation of Two-Component Ginzburg-Landau Model and Conditions of its Applicability in Two-Band Systems

Superconductivity: Ginzburg-Landau Theory

Fluctuations in Superconductors using Landau-Ginzburg Theory

In this paper, we study the fluctuations in superconductors in the framework of Landau-Ginzurg theory. First, we review the formulation of LG theory and derive the LG equations. The we calculate the fluctuation contribution to the saddle point heat capacity, both inside and outside the immediate vicinity of the transition point. Outside the immediate vicinity, we follow the Gaussian integral ca...