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  Topology-bounded superfluid weight in twisted bilayer graphene

Xie, F., Song, Z., Lian, B., & Bernevig, B. A. (2020). Topology-bounded superfluid weight in twisted bilayer graphene. Physical Review Letters, 124(16): 167002. doi:10.1103/PhysRevLett.124.167002.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-D5DD-F Version Permalink: https://hdl.handle.net/21.11116/0000-0009-4FCF-7
Genre: Journal Article

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PhysRevLett.124.167002.pdf (Publisher version), 166KB
 
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https://doi.org/10.1103/PhysRevLett.124.167002 (Publisher version)
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Xie, Fang1, Author
Song, Zhida1, Author
Lian, Biao1, Author
Bernevig, B. Andrei2, Author
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1External Organizations, ou_persistent22              
2Max Planck Institute of Microstructure Physics, Max Planck Society, Weinberg 2, 06120 Halle, DE, ou_2415691              

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 Abstract: While regular flat bands are good for enhancing the density of states and hence the gap, they are detrimental to the superfluid weight. We show that the predicted nontrivial topology of the two lowest flat bands of twisted bilayer graphene (TBLG) plays an important role in the enhancement of the superfluid weight and hence of superconductivity. We derive the superfluid weight (phase stiffness) of the TBLG superconducting flat bands with a uniform pairing, and show that it can be expressed as an integral of the Fubini-Study metric of the flat bands. This mirrors results already obtained for nonzero Chern number bands even though the TBLG flat bands have zero Chern number. We further show that the metric integral is lower bounded by the topological C2zT Wilson loop winding number of TBLG flat bands, which renders that the superfluid weight is also bounded by this topological index. In contrast, trivial flat bands have a zero superfluid weight. The superfluid weight is crucial in determining the Berezinskii-Kosterlitz-Thouless transition temperature of the superconductor. Based on the transition temperature measured in TBLG experiments, we estimate the topological contribution of the superfluid weight in TBLG.

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 Dates: 20202020-04-24
 Publication Status: Issued
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 Identifiers: BibTex Citekey: P13926
DOI: 10.1103/PhysRevLett.124.167002
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 124 (16) Sequence Number: 167002 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1