Upper Critical Field in a Spin-Charge Separated Superconductor

TL;DR

This paper investigates how spin-charge separation affects the upper critical magnetic field in superconductors, proposing that the temperature dependence of $H_{c2}$ can reveal this phenomenon.

Contribution

It introduces the idea that spin-charge separation influences the temperature dependence of the upper critical field in higher-dimensional superconductors.

Findings

Logarithmic correction in pair propagator decay due to spin-charge separation.

Potential for $H_{c2}$ temperature dependence to serve as a probe of spin-charge separation.

Extension of 1D Luttinger liquid effects to higher-dimensional systems.

Abstract

It is demonstrated that the spatial decay of the pair propagator in a Luttinger liquid with spin charge separation contains a logarithmic correction relative to the free fermi gas result in a finite interval between the spin and charge thermal lengths. It is argued that similar effects can be expected in higher dimensional systems with spin charge separation and that the temperature dependence of the upper critical field $H_{c2}$ curve is a probe of this effect.