On the Meissner Effect of the Odd-Frequency Superconductivity with Critical Spin Fluctuations: Possibility of Zero Field FFLO pairing

TL;DR

This paper explores how critical spin fluctuations affect electromagnetic responses in odd-frequency superconductors, revealing a reduction in superfluid density and the spontaneous emergence of zero-field FFLO pairing under strong coupling conditions.

Contribution

It demonstrates the impact of critical spin fluctuations on the Meissner effect and shows the possibility of zero-field FFLO pairing in odd-frequency superconductors.

Findings

Critical spin fluctuations reduce the Meissner kernel.

Superfluid density is decreased, lengthening the London penetration depth.

Zero field FFLO pairing can spontaneously occur in strong coupling regimes.

Abstract

We investigate the influence of critical spin fluctuations on electromagnetic responses in the odd-frequency superconductivity. It is shown that the Meissner kernel of the odd-frequency superconductivity is strongly reduced by the critical spin fluctuation or the massless spin wave mode in the antiferromagnetic phase. These results imply that the superfluid density is reduced, and the London penetration depth is lengthened for the odd-frequency pairing. It is also shown that the zero field Flude-Ferrell-Larkin-Ovchinnikov pairing is spontaneously realized both for even- and odd-frequency in the case of sufficiently strong coupling with low lying spin-modes.