Non-Fermi-liquid superconductivity: Eliashberg approach versus the renormalization group
Huajia Wang, Srinivas Raghu, Gonzalo Torroba
DOI 10.1103/PhysRevB.95.165137 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
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.
Similar papers
Non-Fermi liquid Superconductivity: Eliashberg versus the Renormalization Group
similarity 0.92Huajia Wang et al. · 2016 · arXiv:1612.01971
Source status unknown — claims are unverified
Concepts in High Temperature Superconductivity
similarity 0.90E. W. Carlson et al. · 2002 · arXiv:cond-mat/0206217
Source status unknown — claims are unverified
Nonadiabatic theory of the superconducting state
similarity 0.89M. Botti et al.
Source status unknown — claims are unverified
The unreasonable effectiveness of Eliashberg theory for pairing of non-Fermi liquids
similarity 0.89Debanjan Chowdhury & Erez Berg · 2019 · arXiv:1912.07646
Source status unknown — claims are unverified
Nonadiabatic Superconductivity: Electron-Phonon Interaction Beyond Migdal's Theorem
similarity 0.89C. Grimaldi et al.
Source status unknown — claims are unverified