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Unconventional Superconductivity in Systems with Annular Fermi Surfaces: Application to Rhombohedral Trilayer Graphene

Areg Ghazaryan, Tobias Holder, Maksym Serbyn, and Erez Berg
Phys. Rev. Lett. 127, 247001 – Published 9 December 2021
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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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  • Received 7 September 2021
  • Accepted 12 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.247001

© 2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Areg Ghazaryan1,*, Tobias Holder2,*, Maksym Serbyn1, and Erez Berg2

  • 1IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria
  • 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

  • *A. G. and T. H. contributed equally to this work.

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Issue

Vol. 127, Iss. 24 — 10 December 2021

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