Cited by 115Topological Materials and PhenomenaPhysics of Superconductivity and MagnetismAdvanced Condensed Matter Physics

Topological Nodal Cooper Pairing in Doped Weyl Metals.

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Li, Yi, Haldane, F. D. M.·2018·Physical Review Letters

Abstract

We generalize the concept of Berry connection of the single-electron band structure to that of a two-particle Cooper pairing state between two Fermi surfaces with opposite Chern numbers. Because of underlying Fermi surface topology, the pairing Berry phase acquires nontrivial monopole structure. Consequently, pairing gap functions have topologically protected nodal structure as vortices in the momentum space with the total vorticity solely determined by the pair monopole charge q_{p}. The nodes of gap function behave as the Weyl-Majorana points of the Bogoliubov-de Gennes pairing Hamiltonian. Their relation with the connection patterns of the surface modes from the Weyl band structure and the Majorana surface modes inside the pairing gap is also discussed. Under the approximation of spherical Fermi surfaces, the pairing symmetry are represented by monopole harmonic functions. The lowest possible pairing channel carries angular momentum number j=|q_{p}|, and the corresponding gap functions are holomorphic or antiholomorphic functions on Fermi surfaces. After projected on the Fermi surfaces with nontrivial topology, all the partial-wave channels of pairing interactions acquire the monopole charge q_{p} independent of concrete pairing mechanism.

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Authors
Li, Y., & Haldane, F. D. M.
Affiliations
  • Johns Hopkins University (US)
  • Princeton University (US)
Venue
Physical Review Letters
Published
2018-02-09
Volume
120
Issue
6
Pages
067003-067003
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2182804398
Cited by
113
References
63
Citations by year
2026: 3 · 2025: 16 · 2024: 18 · 2023: 11 · 2022: 12 · 2021: 15 · 2020: 14 · 2019: 9 · 2018: 10 · 2017: 2 · 2016: 3
FWCI
5.55
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
  • arXiv (Cornell University)
  • Bulletin of the American Physical Society
Funders
  • Princeton University
  • W. M. Keck Foundation
  • U.S. Department of Energy (DE-FG02-08ER46544)
  • Princeton Center for Complex Materials (NSF-DMR-1420541)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Keywords
Berry connection, Chern number, Bogoliubov-de Gennes Hamiltonian, spherical Fermi surface

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