Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene

We study superconductivity of twisted bilayer graphene with local and non-local attractive interactions. We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) transition temperature for microscopic tight-binding and low-energy continuum models. We predict qualitative differences...

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Bibliographic Details
Published in:arXiv.org 2019-08
Main Authors: Julku, Aleksi, Peltonen, Teemu J, Long, Liang, Heikkilä, Tero T, Törmä, Päivi
Format: Article
Language:English
Subjects:
Bilayers
Continuum modeling
Fluids
Graphene
Superconductivity
Superfluidity
Transition temperature
Weight
Online Access:Get full text
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Summary:We study superconductivity of twisted bilayer graphene with local and non-local attractive interactions. We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) transition temperature for microscopic tight-binding and low-energy continuum models. We predict qualitative differences between local and non-local interaction schemes which could be distinguished experimentally. In the flat band limit where the pair potential exceeds the band width we show that the superfluid weight and BKT temperature are determined by multiband processes and quantum geometry of the band.
ISSN:2331-8422
DOI:10.48550/arxiv.1906.06313