Fractional Quantum Hall Plateau Transitions and Composite Fermi Liquids

ORAL

Abstract

We will investigate relationship between the fractional quantum Hall plateau transition from Laughlin state at $\nu = \frac{1}{2n+1}$ to a trivial insulator, and composite Fermi liquid at $\nu = \frac{1}{2(2n+1)}$. We use the recently-developed quantum field theoretic technique, 3d dualities, in combinations with the coupled-wire descriptions for quantum Hall states. We will show that we can also access various other phases, including non-abelian paired states at $\nu = \frac{1}{2(2n+1)}$, from the plateau transition.

*This work is supported by the Brain Korea 21 PLUS Project of Korea Government and KAIST start-up funding (GYC & EGM)

Authors

  • Gil Young Cho

    • KAIST
    • Korea Adv Inst of Sci & Tech
    • Korea Advanced Institute of Science and Technology
  • Eun-Gook Moon

    • KAIST
    • Korea Adv Inst of Sci & Tech
  • Eduardo Fradkin

    • University of illinois at Urbana-Champaign