Disorder-Driven Transition in the $\textit{ν}$ = 5/2 Fractional Quantum Hall Effect

Zhu, W.; Sheng, D.  N.

doi:10.1103/physrevlett.123.056804

Title: Disorder-Driven Transition in the $$\textit{ν}$$ = 5/2 Fractional Quantum Hall Effect

Journal Article · Thu Aug 01 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.123.056804· OSTI ID:1864919

^[1]; Sheng, D. N. ^[2]

Westlake Institute of Advanced Study, Hangzhou (China); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
California State University, Northridge (CSUN), CA (United States)

The fractional quantum Hall (FQH) effect at the filling number ν = 5/2 is a primary candidate for non-Abelian topological order, while the fate of such a state in the presence of random disorder has not been resolved. We address this open question by implementing an unbiased diagnosis based on numerical exact diagonalization. Here, we calculate the disorder averaged Hall conductance and the associated statistical distribution of the topological invariant Chern number, which unambiguously characterize the disorder-driven collapse of the FQH state. As the disorder strength increases towards a critical value, a continuous phase transition is detected based on the disorder configuration averaged wave function fidelity and the entanglement entropy. In the strong disorder regime, we identify a composite Fermi liquid phase with fluctuating Chern numbers, in striking contrast to the well-known ν = 1/3 case where an Anderson insulator appears. Interestingly, the lowest Landau level projected a local density profile, the wave function overlap, and the entanglement entropy as a function of disorder strength simultaneously signal an intermediate phase, which may be relevant to the recent proposal of a particle-hole Pfaffian state or Pfaffian–anti-Pfaffian puddle state.

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Research Organization:: California State University, Northridge (CSUN), CA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: FG02-06ER46305; DMR-1420541; 89233218CNA000001

OSTI ID:: 1864919

Alternate ID(s):: OSTI ID: 1546824; OSTI ID: 1571593

Report Number(s):: LA-UR-18-28368; DMR-1420541; DE-FG02-06ER46305; TRN: US2305974

Journal Information:: Physical Review Letters, Vol. 123, Issue 5; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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