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Topological Nodal Cooper Pairing in Doped Weyl Metals.
Open accessAbstract
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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Metadata
- Authors
- Li, Y., & Haldane, F. D. M.
- Affiliations
- Johns Hopkins University (US)
- Princeton University (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- 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
- FWCI
- 5.55
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- 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 › Condensed Matter Physics › 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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