Superconductivity in Weyl metals

Abstract

We report on a study of intrinsic superconductivity in a Weyl metal, i.e. a doped Weyl semimetal. Two distinct superconducting states are possible in this system in principle: a zero-momentum pairing BCS state, with point nodes in the gap function; and a finite-momentum FFLO-like state, with a full nodeless gap. We find that, in an inversion-symmetric Weyl metal the odd-parity BCS state has a lower energy than the FFLO state, despite the nodes in the gap. The FFLO state, on the other hand, may have a lower energy in a noncentrosymmetric Weyl metal, in which Weyl nodes of opposite chirality have different energy. However, realizing the FFLO state is in general very difficult since the paired states are not related by any exact symmetry, which precludes a weak-coupling superconducting instability. We also discuss some of the physical properties of the nodal BCS state, in particular Majorana and Fermi arc surface states.

10 pages, 3 figures, published version

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Cited by in corpus (105)

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• Discovery of Weyl fermion semimetals and topological Fermi arc states
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• Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
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• Observation of an edge supercurrent in the Weyl superconductor MoTe${}_2$
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• Anticorrelation between polar lattice instability and superconductivity in the Weyl semimetal candidate MoTe2
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• Three-Dimensional Majorana Fermions in Chiral Superconductors
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• Berezinskii-Kosterlitz-Thouless transition in the type-I Weyl semimetal PtBi${}_2$
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
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• Chirality blockade of Andreev reflection in a magnetic Weyl semimetal
• Superconductivity in type-II Weyl-semimetal WTe2 induced by a normal metal contact
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• Nodal superconducting exchange coupling
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Probing unconventional superconductivity in inversion symmetric doped Weyl semimetal
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• Cooper-pair transistor as a minimal topological quantum circuit
• Quantum anomalies in superconducting Weyl metals
• Theory of the fractional quantum Hall effect in Weyl semimetals
• Josephson effect in type-I Weyl Semimetals
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Evidence for Unconventional Superconductivity and Nontrivial Topology in PdTe
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
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• Antiferromagnetic magnons from fractionalized excitations
• Anomalous Hall effect in Weyl superconductors
• From semimetal to chiral Fulde-Ferrell superfluids
• Odd-frequency Berezinskii superconductivity in Dirac semimetals
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Intrinsic superconducting diode effects in tilted Weyl and Dirac semimetals
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• Translation symmetry-enriched toric code insulator
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• Resonant Plasmon-Axion Excitations Induced by Charge Density Wave Order in Weyl Semimetal
• Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems
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