# Bulletin of the American Physical Society

# APS March Meeting 2022

## Volume 67, Number 3

## Monday–Friday, March 14–18, 2022; Chicago

### Session K57: Superconductivity: Unconventional Theories II

3:00 PM–5:24 PM,
Tuesday, March 15, 2022

Room: Hyatt Regency Hotel -Clark

Sponsoring
Unit:
DCMP

Chair: Ireneusz Weymann, Adam Mickiewicz University

### Abstract: K57.00003 : Odd frequency pairing in quantum critical metals.

3:24 PM–3:36 PM

#### Presenter:

Andrey V Chubukov

(University of Minnesota)

#### Authors:

Yi-Ming Wu

(University of Minnesota)

Andrey V Chubukov

(University of Minnesota)

Shang-Shun Zhang

(University of Minnesota)

Artem G Abanov

(Texas A&M University)

_{n})∼1/|Ω

_{n}|

^{γ}. Based on this model, we investigate the case when 0<γ<1 and find there exists an infinite number of odd frequency solutions [Δ(-ω

_{m})=-Δ(ω

_{m})] to the superconductivity gap equations, with each of them having a unique gap structure Δ

_{n}(ω

_{m}) and onset pairing temperature T

_{p,n }(n=0,1,2,...). We study the one with the largest pairing temperature T

_{p,0}, and find in zero temperature limit, the gap function Δ(ω

_{m}) scales as |ω

_{m}|

^{a}sgn(ω

_{m}) with a<1 at small frequencies. On real axis, this scaling implies that the quasiparticle density of states N(ω) tends to 0 at ω=0. This differs from previous studies on odd frequency pairing in normal metal/superconductor or ferromagnet/superconductor heterostructures where the odd frequency pairing is associated with a peak in N(ω) at ω=0. We also investigate the temperature evolution of N(ω) for odd frequency pairing, and find it resembles a conventional BCS superconductor, i.e. as temperature increases, the gap in N(ω) gradually closes till it reaches the onset temperature. For completeness, we also consider the case when γ>1. By analyzing the linearized gap equation, we find there is no odd-frequency superconducting order at finite temperature if γ>1.

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