Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
Ghazaryan A, Holder T, Serbyn M, Berg E. 2021. Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene. Physical Review Letters. 127(24), 247001.
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Abstract
We show that in a two-dimensional electron gas with an annular Fermi surface, long-range Coulomb interactions can lead to unconventional superconductivity by the Kohn-Luttinger mechanism. Superconductivity is strongly enhanced when the inner and outer Fermi surfaces are close to each other. The most prevalent state has chiral p-wave symmetry, but d-wave and extended s-wave pairing are also possible. We discuss these results in the context of rhombohedral trilayer graphene, where superconductivity was recently discovered in regimes where the normal state has an annular Fermi surface. Using realistic parameters, our mechanism can account for the order of magnitude of Tc, as well as its trends as a function of electron density and perpendicular displacement field. Moreover, it naturally explains some of the outstanding puzzles in this material, that include the weak temperature dependence of the resistivity above Tc, and the proximity of spin singlet superconductivity to the ferromagnetic phase.
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Date Published
2021-12-09
Journal Title
Physical Review Letters
Publisher
American Physical Society
Acknowledgement
We thank Yang-Zhi Chou, Andrey Chubukov, Johannes Hofmann, Steve Kivelson, Sri Raghu, and Sankar das Sarma, Jay Sau, Fengcheng Wu, and Andrea Young for many stimulating discussions and for their comments on the manuscript. E.B. thanks S. Chatterjee, T. Wang, and M. Zaletel for a collaboration on a related topic. A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 754411. E.B. and T.H. were supported by the European Research Council (ERC) under grant HQMAT (Grant Agreement No. 817799), by the Israel-USA Binational Science Foundation (BSF), and by a Research grant from Irving and Cherna Moskowitz.
Volume
127
Issue
24
Article Number
247001
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Cite this
Ghazaryan A, Holder T, Serbyn M, Berg E. Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene. Physical Review Letters. 2021;127(24). doi:10.1103/physrevlett.127.247001
Ghazaryan, A., Holder, T., Serbyn, M., & Berg, E. (2021). Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene. Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.127.247001
Ghazaryan, Areg, Tobias Holder, Maksym Serbyn, and Erez Berg. “Unconventional Superconductivity in Systems with Annular Fermi Surfaces: Application to Rhombohedral Trilayer Graphene.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/physrevlett.127.247001.
A. Ghazaryan, T. Holder, M. Serbyn, and E. Berg, “Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene,” Physical Review Letters, vol. 127, no. 24. American Physical Society, 2021.
Ghazaryan A, Holder T, Serbyn M, Berg E. 2021. Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene. Physical Review Letters. 127(24), 247001.
Ghazaryan, Areg, et al. “Unconventional Superconductivity in Systems with Annular Fermi Surfaces: Application to Rhombohedral Trilayer Graphene.” Physical Review Letters, vol. 127, no. 24, 247001, American Physical Society, 2021, doi:10.1103/physrevlett.127.247001.
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arXiv 2109.00011