Bogoliubov-Fermi Surfaces in Noncentrosymmetric Multicomponent Superconductors

Abstract

We show that when the time reversal symmetry is broken in a multicomponent superconducting condensate without inversion symmetry the resulting Bogoliubov quasiparticles generically exhibit mini-Bogoliubov-Fermi (BF) surfaces, for small superconducting order parameter. The absence of inversion symmetry makes the BF surfaces stable with respect to weak perturbations. With sufficient increase of the order parameter, however, the Bogoliubov-Fermi surface may disappear through a Lifshitz transition, and the spectrum this way become fully gapped. Our demonstration is based on the computation of the effective Hamiltonian for the bands near the normal Fermi surface by the integration over high-energy states. Exceptions to the rule, and experimental consequences are briefly discussed.

arXiv comment9 pages, 2 figures; greatly extended supplemental material, new and updated references, additional explanations in the text

References in corpus (22)

• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Interior Gap Superfluidity
• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Observation of Time-Reversal Symmetry Breaking in the Non-Centrosymmetric Superconductor Re6Zr
• Response of a $d_{x^2-y^2}$ Superconductor to a Zeeman Magnetic Field
• Types of topological surface states in nodal noncentrosymmetric superconductors
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Evidence for two-gap superconductivity in the non-centrosymmetric compound LaNiC${}_2$
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Superconducting quantum criticality in three-dimensional Luttinger semimetals
• Unconventional Superconductivity in Luttinger Semimetals: Theory of Complex Tensor Order and the Emergence of the Uniaxial Nematic State
• Two-gap superconductivity in LaNiGa${}_2$ with non-unitary triplet pairing and even parity gap symmetry
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Topological Ultranodal pair states in iron-based superconductors
• Nodal gap structure in the noncentrosymmetric superconductor LaNiC2 from magnetic-penetration-depth measurements
• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Experimental consequences of Bogoliubov Fermi surfaces
• Breached Superfluidity via P-Wave Coupling
• Instability of $j=3/2$ Bogoliubov Fermi-surfaces
• Gapless Surfaces in Anisotropic Superfluids
• Hidden role of antiunitary operators in Fierz transformation

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• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
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