Properties of Odd-Frequency Superconductivity in Antiferromagnetic Ordered State

TL;DR

This paper explores the unique properties of odd-frequency superconductivity in antiferromagnetic states, revealing how the pairing gap behaves with energy and temperature, and relates findings to experimental heavy-fermion materials.

Contribution

It demonstrates the behavior of the superconducting gap in odd-frequency pairing mediated by antiferromagnetic fluctuations, providing insights into experimental observations in heavy-fermion compounds.

Findings

The gap (_n) peaks at finite _n.

The gap ( T) peaks at finite temperature.

Implications for CeCu_2Si_2 and CeRhIn_5 are discussed.

Abstract

We investigate properties below T_c of odd-frequency pairing which is realized by antiferromagnetic critical spin fluctuations or spin wave modes. It is shown that \Delta(\epsilon_n) becomes maximum at finite \epsilon_n, and \Delta(\pi T) becomes maximum at finite T. Implications of the present results to the experimental results of CeCu_2Si_2 and CeRhIn_5 are given.