Bogoliubov Fermi surfaces: General theory, magnetic order, and topology

2018/06/11 by P. M. R. Brydon, D. F. Agterberg, Henri Menke +2 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi gas #Fermi surface #Geometry #Mathematics #Order (exchange) #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quasiparticle #Superconductivity #Symmetry (geometry) #T-symmetry #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.98.224509

published as Phys. Rev. B 98, 224509 (2018)

arxiv created 2018/06/11 · openalex publication_date 2018/12/14 · arxiv updated 2018/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The authors present a general theory for Fermi surfaces of Bogoliubov quasiparticles in superconductors with broken time-reversal symmetry. These Fermi surfaces form two-dimensional nodes of the superconducting gap, which are unique to pairing states with a ``nonunitary'' structure. This generates a nonsuperconducting magnetic order intertwined with superconductivity, which is responsible for inflating the expected zero- or one-dimensional nodes into Bogoliubov Fermi surfaces. Such Fermi surfaces should be present in a large class of superconductors that break time-reversal symmetry.

Citations

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• Pairing States of Spin-32 Fermions: Symmetry-Enforced Topological Gap Functions
• New Type of Quantum Criticality in the Pyrochlore Iridates

Cited by

• Topological band and superconductivity in UTe2
• General theory of robustness against disorder in multiband superconductors
• Ground state of the three-dimensional BCS d-wave superconductor
• Optical response of Luttinger semimetals in the normal and superconducting states