Electromagnetic properties of a Fermi liquid superconductor with singular Landau parameter $F_{1s}\to-1$

TL;DR

This paper investigates the electromagnetic behavior of a Fermi liquid superconductor with a singular Landau parameter, revealing a phase with marginal spin-charge separation that resembles the pseudogap phase in underdoped cuprates.

Contribution

It introduces the concept of a marginal spin-charge separation state with singular Landau parameter and connects it to the pseudogap phase in high-temperature superconductors.

Findings

MSCS state is a diamagnetic metal with Drude-like conductivity.

Phase diagram matches pseudogap phase observations.

Prediction of un-quantized magnetic flux vortices in pseudogap phase.

Abstract

The electromagnetic properties of a Fermi liquid superconductor with singular Landau parameter $F_{1s}\to-1$, corresponding to a state with marginal spin-charge separation (MSCS) is analyzed in this paper. We show that the MSCS state describes a strongly phase-disordered superconductor which is a diamagnetic metal with Drude-like optical conductivity. The phase diagram and electromagnetic properties of the MSCS state is found to be in qualitative agreement with what is observed in the pseudo-gap phase of (underdoped) High-$T_c$ cuprates. We predicted that vortices with {\em un-quantized} magnetic flux will be observed in the pseudo-gap phase.