Role of the cooling rate in the stability of the superconducting phase of (TMTSF)_2ClO_4

TL;DR

This study investigates how the cooling rate affects the stability of the superconducting phase in (TMTSF)$_2$ClO$_4$, showing that faster cooling reduces the transition temperature, aligning with experimental observations.

Contribution

It introduces a self-consistent time-dependent Ginzburg-Landau model incorporating fluctuations to analyze cooling rate effects on superconductivity.

Findings

Transition temperature decreases with increasing cooling rate.

Model aligns with recent experimental data.

Superconducting domain size depends on cooling rate.

Abstract

The noncentrosymmetric ClO$_4$ anions of the organic superconductor (TMTSF)$_2$ClO$_4$ order below 24K. The size of domains where the anions are ordered is substantially dependent on the cooling rate which is a key parameter for the stability of the low temperature electronic ground states. We study the effect of the cooling rate on the SC phase within a self consistent approach in the framework of the time dependent Ginzburg-Landau theory taking into account the superconducting fluctuations. We derive the superconducting transition temperature which is found to decrease with increasing cooling rate in agreement with recent experimental data.