Non-Fermi-liquid superconductivity: Eliashberg approach versus the renormalization group

Wang, Huajia; Raghu, Srinivas; Torroba, Gonzalo

doi:10.1103/PhysRevB.95.165137

Title: Non-Fermi-liquid superconductivity: Eliashberg approach versus the renormalization group

Journal Article · Sat Apr 15 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.165137· OSTI ID:1361073

Wang, Huajia ^[1]; Raghu, Srinivas ^[2]; Torroba, Gonzalo ^[3]

Univ. of Illinois, Urbana, IL (United States)
Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Centro Atomico Bariloche adn CONICET, Rio Negro (Argentina)

Here, we address the problem of superconductivity for non-Fermi liquids using two commonly adopted, yet apparently distinct, methods: (1) the renormalization group (RG) and (2) Eliashberg theory. The extent to which both methods yield consistent solutions for the low-energy behavior of quantum metals has remained unclear. We show that the perturbative RG beta function for the 4-Fermi coupling can be explicitly derived from the linearized Eliashberg equations, under the assumption that quantum corrections are approximately local across energy scales. We apply our analysis to the test case of phonon-mediated superconductivity and show the consistency of both the Eliashberg and RG treatments. We next study superconductivity near a class of quantum critical points and find a transition between superconductivity and a “naked” metallic quantum critical point with finite, critical BCS couplings. We speculate on the applications of our theory to the phenomenology of unconventional metals.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; 11220110100752; D15AP00108

OSTI ID:: 1361073

Alternate ID(s):: OSTI ID: 1352975

Journal Information:: Physical Review B, Vol. 95, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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