Proximate phases and phase transitions of quantum hall states in Moire systems

ORAL

Abstract

Motivated by the recent experimental breakthrough on the observation of the fractional quantum anomalous Hall (FQAH) effects in semiconductor and graphene moir ́e materials, we explore the rich physics and phase transitions associated with the FQAH phase.

We explore proximate phases including the charge density wave (CDW) orders, Fermi liquids and topological ordered states. At filling -2/3, a quantum Ginzburg-Landau critical theory, as well as quantum electrodynamics(QED), are proposed to describe various FQAH-CDW transitions and the competition of CDW order and FQAH phases. When CDW coexsts with FQAH, a direct transition from FQAH to trivial CDW insulator is possible.

The transitions between composite Fermi liquid and Fermi liquids at filling -1/2 and -3/4, are described by QED with critically fluctuating CDW orders.

Experiment signatures, such as universal jump of resistivities, follow from the beyond Landau critical theory.

* The Gordon and Betty Moore Foundation EPiQS Initiative, Grant No. GBMF8684 at the Massachusetts Institute of Technology.

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Publication: arXiv: 2308.10903, 2310.11632

Presenters

  • Xueyang Song

    Massachusetts Institute of Technology

Authors

  • Xueyang Song

    Massachusetts Institute of Technology

  • Senthil Todadri

    Massachusetts Institute of Technology MI, Massachusetts Institute of Technology, MIT

  • Ya-Hui Zhang

    Johns Hopkins University, Johns Hopkins

  • Cenke Xu

    University of California, Santa Barbara

  • Liang Fu

    Massachusetts Institute of Technology MI, Massachusetts Institute of Technology, MIT

  • Chao-Ming Jian

    Cornell University