Signatures of emergent supersymmetry in the ν=5/2 fractional quantum Hall effect

ORAL

Abstract

The Moore-Read Pfaffian state has two low-lying neutral excitations, a magnetoroton mode and a neutral fermion mode. Recently, Gromov, Martinec, and Ryu proposed a theory which formulated the two modes as supersymmetric partners of each other [1]. Inspired by their work, we construct wave functions for the two modes in different closed geometries. We evaluate the variational energies of the two wave functions in large system sizes and find signatures of supersymmetry for an interaction in the vicinity of the second Landau level Coulomb point. We also compare the constructions of the neutral excitation modes from previous approaches and find they give identical description in the long-wavelength limit.

[1] A. Gromov, E. J. Martinec, and S. Ryu, Phys. Rev. Lett. 125, 077601 (2020).

*S.P. and Z.P. acknowledge support by the Leverhulme Trust Research Leadership Award RL-2019-015 and by EPSRC grant EP/R020612/1. A.C.B. acknowledges the Science and Engineering Research Board (SERB) of the Department of Science and Technology (DST) for financial support through the Start-up Grant SRG/2020/000154. A.C.B. and Z.P. thank the Royal Society International Exchanges Award IESR2202052 for funding support.

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Presenters

  • Songyang Pu

    • Univ of Leeds
    • University of Leeds

Authors

  • Songyang Pu

    • Univ of Leeds
    • University of Leeds

  • Ajit C Coimbatore Balram

    • Institute of Mathematical Sciences, India
    • Institute of Mathematical Sciences, CIT Campus
    • The Institute of Mathematical Sciences (IMSc)

  • Zlatko Papic

    • Univ of Leeds
    • University of Leeds