Ginzburg-Landau equation and vortex liquid phase of Fermi liquid superconductors

TL;DR

This paper investigates how Landau interactions modify the Ginzburg-Landau equation in Fermi liquid superconductors, revealing a vortex liquid phase and unconventional phase transition behavior relevant to high-$T_c$ cuprates.

Contribution

It introduces a renormalized Ginzburg-Landau framework accounting for strong Landau interactions, highlighting their impact on superfluid density and fluctuation scales.

Findings

Landau interactions renormalize GL parameters

Separation of amplitude and phase fluctuation scales

Unconventional 2D KT transition and vortex liquid phase

Abstract

In this paper we study the Ginzburg-Landau (GL) equation for Fermi liquid superconductors with strong Landau interactions $F_0$ and $F_1$. We show that Landau interactions renormalize two parameters entering the GL equation leading to renormalization of superfluid density and separation of length and energy scales for amplitude and phase fluctuations. The separation of energy/length scales for amplitude and phase fluctuations in term leads to unconventional (2D) KT transition and vortex liquid phase. Application of the GL equation to describe underdoped high-$T_c$ cuprates is being discussed.