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RESEARCH PRODUCT

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

Teemu J. PeltonenTero T. HeikkiläAleksi JulkuPäivi TörmäLong LiangLong Liang

subject

suprajohtavuusINSULATORsuperfluid densitymultiband superconductivityFOS: Physical sciences02 engineering and technologyBKT transition01 natural sciences114 Physical sciencessuperconducting phase transitionSuperconductivity (cond-mat.supr-con)SuperfluidityMAGIC-ANGLEsuperconducting fluctuationsnanorakenteetCondensed Matter::SuperconductivityMesoscale and Nanoscale Physics (cond-mat.mes-hall)0103 physical sciencesgrafeeni010306 general physicsQuantumPhysicsSuperconductivityCondensed Matter::Quantum GasesCondensed matter physicsCondensed Matter - Mesoscale and Nanoscale PhysicsCondensed Matter::OtherSUPERCONDUCTIVITYCondensed Matter - SuperconductivityORDER021001 nanoscience & nanotechnologySTATEsuperconducting RFKosterlitz–Thouless transitionPairingDENSITYBerry connection and curvature0210 nano-technologyBilayer graphene

description

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.

yearjournalcountryeditionlanguage
2019-06-14
10.1103/physrevb.101.060505http://arxiv.org/abs/1906.06313