Pairing symmetry of twisted bilayer graphene: A phenomenological synthesis

Lake, Ethan; Patri, Adarsh S.; Senthil, T.

doi:10.1103/physrevb.106.104506

Pairing symmetry of twisted bilayer graphene: A phenomenological synthesis

Journal Article · Fri Sep 09 00:00:00 EDT 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.104506· OSTI ID:1979812

Lake, Ethan ^[1]; ^[2]; Senthil, T. ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); OSTI
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

One of the outstanding questions in the study of twisted bilayer graphene—from both experimental and theoretical points of view—is the nature of its superconducting phase. In this paper we perform a comprehensive synthesis of existing experiments, and argue that experimental constraints are strong enough to allow the structure of the superconducting order parameter to be nearly uniquely determined. In particular, we argue that the order parameter is nodal, and is formed from an admixture of spin-singlet and spin-triplet Cooper pairs. This argument is made on phenomenological grounds, without committing to any particular microscopic model of the superconductor. Existing data is insufficient to determine the orbital parity of the order parameter, which could be either p wave or d wave. We propose a way in which the measurement of Andreev edge states can be used to distinguish between the two.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0008739

OSTI ID:: 1979812

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 10 Vol. 106; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
Andreev reflection
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Physics
superconducting order parameter
superconductivity
superconductors
twisted bilayer graphene
two-dimensional electron system

Pairing symmetry of twisted bilayer graphene: A phenomenological synthesis

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