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

The non-centrosymmetric ClO4 anions of the organic superconductor (TMTSF)2ClO4 order below 24 K. 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