Superconductivity in doped inversion-symmetric Weyl semimetals

Abstract

We study theoretically the superconductivity in doped Weyl semimetals with an inversion symmetry based on the Bogoliubov-de Gennes equations. In principle, the two superconducting states, i.e., the zero momentum BCS-like pairing and the finite momentum Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing are competing in this kind of systems. Our self-consistent calculation indicates that the BCS-type state may be the ground state. The competition between these two pairing states is studied in detail through normal state Fermi surface and the finite energy spectral functions. Generally, the Fermi surface topology supports the FFLO pairing while the finite energy band structure favors the BCS-type pairing. We also study the physical properties and address the Majorana Fermions excitation in these two superconducting state respectively.

7 pages, 5 figures

References in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Experimental discovery of Weyl semimetal TaAs
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Discovery of a Weyl Fermion semimetal state in NbAs
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Experimental discovery of a topological Weyl semimetal state in TaP
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Superconductivity in Weyl metals
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Crossed surface flat bands of Weyl semimetal superconductors
• Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
• Disordered Weyl semimetals and their topological family
• Novel ${\mathbb{Z}}_2$-topological metals and semimetals
• Charge-impurity-induced Majorana fermions in topological superconductors

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• Probing unconventional superconductivity in inversion symmetric doped Weyl semimetal
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• $0$-$\pi$ transitions in a Josephson junction of irradiated Weyl semimetal
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
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• Josephson effect in type-I Weyl Semimetals
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• Transport through Andreev bound states in a Weyl semimetal quantum dot
• From semimetal to chiral Fulde-Ferrell superfluids
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Fulde-Ferrell States in Inverse Proximity Coupled Magnetically-Doped Topological Heterostructures
• Resolving different pairing states in Weyl superconductors through the single-particle spectrum
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Fabry-Perot interferometry in Weyl semi-metals
• Role of Hund's splitting in electronic phase competition in ${\mathrm{Pb}}_{1-x}{\mathrm{Sn}}_x\mathrm{Te}$
• Higher-order topological superconductivity in type-II time-reversal-symmetric Weyl semimetals with a hybrid pairing
• Sublattice polarization and filamentary superconductivity in strained graphene
• Visualizing superconductivity in an inversion-symmetry-broken doped Weyl semimetal