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.

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)

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• Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
• Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields
• Effect of interactions on the quantization of the chiral photocurrent for double-Weyl semimetals
• Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals
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• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
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• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
• Tunneling in Fermi Systems with Quadratic Band Crossing Points
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Search for plasmons in isotropic Luttinger semimetals
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Optical response of Luttinger semimetals in the normal and superconducting states
• Ground state of the three-dimensional BCS d-wave superconductor
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Using Disorder to Identify Bogoliubov Fermi-Surface States
• Phase transition with trivial quantum criticality in anisotropic Weyl semimetal
• Random-mass disorder in the critical Gross-Neveu-Yukawa models
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Anatomy of plasmons in generic Luttinger semimetals
• Andreev bound states in Josephson junctions of semi-Dirac semimetals
• Time reversal symmetry breaking and $d$-wave superconductivity of triple-point fermions
• Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order
• Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
• Nature of Andreev bound states in Josephson junctions of triple-point semimetals
• Superconductivity in Luttinger semimetals near the SU(4) limit
• Phases of three-dimensional $d$-wave superconductors with two attractive interactions