Partial equilibration of anti-Pfaffian edge modes at ν=5/2

Asasi, Hamed; Mulligan, Michael

doi:10.1103/physrevb.102.205104

Partial equilibration of anti-Pfaffian edge modes at ν=5/2

Journal Article · Wed Nov 04 00:00:00 EST 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.205104· OSTI ID:1853414

^[1]; Mulligan, Michael ^[2]

Univ. of California, Riverside, CA (United States); OSTI
Univ. of California, Riverside, CA (United States)

The thermal Hall conductance K of the fractional quantum Hall state at filling fraction ν = 5/2 has recently been measured to be K = 2.5π²$$k$$$^{2}_{B}$$T/3h [M. Banerjee et al. Nature (London) 559, 205 (2018)]. Here, the half-integer value of this result (in units of π²$$k$$$^{2}_{B}$$T/3h) provides strong evidence for the presence of a Majorana edge mode and a corresponding quantum Hall state hosting quasiparticles with non-Abelian statistics. Whether this measurement points to the realization of the PH-Pfaffian or the anti-Pfaffian state has been the subject of debate. Here we consider the implications of this measurement for anti-Pfaffian edge-state transport. We show that in the limit of strong Coulomb interaction and an approximate spin degeneracy in the lowest Landau level, the anti-Pfaffian state admits low-temperature edge phases that are consistent with the Hall conductance measurements. Furthermore, these edge phases can exhibit fully equilibrated electrical transport coexisting with partially equilibrated heat transport over a range of temperatures. Through a study of the kinetic equations describing low-temperature electrical and heat transport of these edge states, we determine regimes of parameter space, controlling the interactions between the different edge modes that agree with experiment.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Riverside, CA (United States)

Sponsoring Organization:: National Science Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0020007

OSTI ID:: 1853414

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 20 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Fractional charge and fractional statistics in the quantum Hall effects Feldman, D. E.; Halperin, Bertrand I. arXiv https://doi.org/10.48550/arxiv.2102.08998	text	January 2021
Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect Rezayi, Edward H.; Pakrouski, Kiryl; Haldane, F. D. M. arXiv https://doi.org/10.48550/arxiv.2103.12026	text	January 2021

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