Superconductivity, superfluidity and quantum geometry in twisted multilayer systems

Päivi Törmä*, Sebastiano Peotta, Bogdan A. Bernevig

*Corresponding author for this work

Research output: Contribution to journalReview Articlepeer-review

15 Citations (Scopus)
26 Downloads (Pure)

Abstract

Superconductivity has been observed in moiré systems such as twisted bilayer graphene, which host flat, dispersionless electronic bands. In parallel, theory work has discovered that superconductivity and superfluidity of flat-band systems can be made possible by the quantum geometry and topology of the band structure. These recent key developments are merging into a flourishing research topic: understanding the possible connection and ramifications of quantum geometry on the induced superconductivity and superfluidity in moiré multilayer and other flat-band systems. This article presents an introduction to how quantum geometry governs superconductivity and superfluidity in platforms including, and beyond, graphene. Ultracold gases are introduced as a complementary platform for quantum geometric effects and a comparison is made to moiré materials. An outlook sketches the prospects of twisted multilayer systems in providing the route to room-temperature superconductivity.

Original languageEnglish
Pages (from-to)528-542
Number of pages15
JournalNature Reviews Physics
Volume4
Issue number8
Early online date10 Jun 2022
DOIs
Publication statusPublished - Aug 2022
MoE publication typeA2 Review article in a scientific journal

Keywords

  • HUBBARD-MODEL
  • EDGE STATES
  • FERMI GAS
  • INSULATOR
  • FRACTION
  • DENSITY
  • BANDS

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