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

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arxiv 1906.06313 v3 pith:23ITFIFW submitted 2019-06-14 cond-mat.mes-hall cond-mat.supr-con

Aleksi Julku , Teemu J. Peltonen , Long Liang , Tero T. Heikkilä , Päivi Törmä This is my paper
classification cond-mat.mes-hallcond-mat.supr-con
keywords bandsuperfluidtemperatureweightberezinskii-kosterlitz-thoulessbilayergraphenelocal
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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.

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