Fate of superconductivity in three-dimensional disordered Luttinger semimetals
Abstract
Superconducting instability can occur in three-dimensional quadratic band crossing semimetals only at a finite coupling strength, due to the vanishing of density of states at the quadratic band touching point. Since realistic materials are always disordered to some extent, we study the effect of short-ranged correlated disorder on this superconducting quantum critical point, using a controlled loop-expansion applying dimensional regularization. The renormalization group (RG) scheme allows us to determine the RG flows of the various interaction strengths, and shows that disorder destroys the superconducting quantum critical point. In fact, the system exhibits a runaway flow to strong disorder.
Keywords
Cite
@article{arxiv.1710.08428,
title = {Fate of superconductivity in three-dimensional disordered Luttinger semimetals},
author = {Ipsita Mandal},
journal= {arXiv preprint arXiv:1710.08428},
year = {2022}
}
Comments
there were errors in some loop calculations of the published version, and some Feynman diagrams were missed; this arxiv version contains the corrected results; the corrigendum has been published in Annals of Physics 439C, 168797 (2022)