Superconductivity on doping a Hofstadter-Hubbard model near a topological transition
ORAL
Abstract
Motivated by recent progress in moire' materials, we consider the transition between integer quantum Hall and chiral spin liquid states in a triangular lattice Hofstadter-Hubbard model. A continuous transition between these phases requires closing of the charge gap, while the spin gap remains open, consistent with low-energy Cooper pairs. Such Cooper pairing was recently demonstrated in the excitations about the insulating state. Here we consider the case of finite doping, and numerically explore signatures of superconductivity over a range of interaction strengths where a spin-gapped ground state is found. This supports a new route towards realizing unconventional superconductivity in two-dimensional materials in the limit of strong time reversal breaking.
*CK acknowledges funding by the Swiss National Science Foundation (Postdoc.Mobility Grant No. 217884). This work is partially supported by NSF DMR-2022428 and by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (AV,MZ). We also acknowledge support from a Simons Investigator grant (AV) and from NSF-DMR 2220703. M.Z. and S.D. were supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Systems Accelerator (QSA). This research is funded in part by the Gordon and Betty Moore Foundation's EPiQS Initiative, Grant GBMF8683 to T.S.
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Presenters
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Clemens Kuhlenkamp
- Harvard University