Fractionalization and Dynamics of Anyons and Their Experimental Signatures in the ν=n+1/3 Fractional Quantum Hall State

Ha Quang Trung and Bo Yang
Phys. Rev. Lett. 127, 046402 – Published 23 July 2021
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Abstract

We show the low-lying excitations at filling factor ν=n+1/3 with realistic interactions can be understood as quantum fluids with “Gaffnian quasiholes” as the proper elementary degrees of freedom. Each Laughlin quasihole can thus be understood as a bound state of two Gaffnian quasiholes, which in the lowest Landau level (LLL) behaves like “partons” with “asymptotic freedom” mediated by neutral excitations acting as “gluons.” Near the experimentally observed nematic FQH phase in higher LLs, quasiholes become weakly bound and can fractionalize with rich dynamical properties. By studying the effective interactions between quasiholes, we predict a finite temperature phase transition of the Laughlin quasiholes even when the Laughlin ground state remains incompressible, and derive relevant experimental conditions for its possible observations.

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  • Received 28 October 2020
  • Accepted 29 June 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.046402

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Ha Quang Trung1 and Bo Yang1,2,*

  • 1Division of Physics and Applied Physics, Nanyang Technological University, Singapore 637371
  • 2Institute of High Performance Computing, A*STAR, Singapore 138632

  • *yang.bo@ntu.edu.sg

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Issue

Vol. 127, Iss. 4 — 23 July 2021

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