Odd frequency pairing in a quantum critical metal

Yiming Wu, Shangshun Zhang, Artem Abanov, Andrey V. Chubukov

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Abstract

We analyze the possibility of odd-frequency pairing near a quantum critical point(QCP) in a metal. We consider a model with dynamical pairing interaction V(ωn)∼1/|ωn|γ (the γ model). This interaction gives rise to a non-Fermi liquid in the normal state and is attractive for pairing. The two trends compete with each other. We search for odd-frequency solutions for the pairing gap Δ(ωm)=-Δ(ωm). We show that for γ<1, odd-frequency superconductivity loses the competition with a non-Fermi liquid and does not develop. We show that the pairing does develop in the extended model in which interaction in the pairing channel is larger than the one in the particle-hole channel. For γ>1, we argue that the original model is at the boundary towards odd-frequency pairing and analyze in detail how superconductivity is triggered by a small external perturbation. In addition, we show that for γ>2, the system gets frozen at the critical point towards pairing in a finite range in the parameter space. This gives rise to highly unconventional phase diagrams with flat regions.

Original languageEnglish (US)
Article number094506
JournalPhysical Review B
Volume106
Issue number9
DOIs
StatePublished - Sep 1 2022

Bibliographical note

Funding Information:
We thank A. Balatsky, E. Berg, I. Estelis, A. Finkelstein, A. Klein, D. Maslov, D. Mozyrsky, D. Pimenov, Ph. Phillips, V. Pokrovsky, J. Schmalian, A. Tsvelik, and Y. Wang for useful discussions. The work by Y.M.W., S.-S.Z., and A.V.C. was supported by the NSF DMR-1834856. Y.-M.W., S.-S.Z., and A.V.C. acknowledge the hospitality of KITP at UCSB, where part of the work has been conducted. The research at KITP is supported by the National Science Foundation under Grant No. NSF PHY-1748958.

Publisher Copyright:
© 2022 American Physical Society.

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