Revisiting excitation gaps in the fractional quantum Hall effect

Zhao, Tongzhou; Kudo, Koji; Faugno, W. N.; Balram, Ajit C.; Jain, J. K.

doi:10.1103/physrevb.105.205147

Revisiting excitation gaps in the fractional quantum Hall effect

Journal Article · Tue May 31 00:00:00 EDT 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.105.205147· OSTI ID:1979762

^[1]; Kudo, Koji ^[2]; ^[2]; ^[3]; ^[2]

Pennsylvania State University, University Park, PA (United States); OSTI
Pennsylvania State University, University Park, PA (United States)
Institute of Mathematical Sciences, Chennai (India); Homi Bhabha National Institute, Mumbai (India)

Recent systematic measurements of the quantum well width dependence of the excitation gaps of fractional quantum Hall states in high mobility samples open the possibility of a better quantitative understanding of this important issue. Here we present what we believe to be accurate theoretical gaps including the effects of finite width and Landau level (LL) mixing. While theory captures the width dependence, there still remains a deviation between the calculated and the measured gaps, presumably caused by disorder. It is customary to model the experimental gaps of the n/(2n ± 1) states as Δ_n/(2n+1) = Ce²/[(2n ± 1)ϵl]-Γ, where ϵ is the dielectric constant of the background semiconductor and l is the magnetic length; the first term is interpreted as the cyclotron energy of composite fermions and Γ as a disorder-induced broadening of composite-fermion LLs. Fitting the gaps for various fractional quantum Hall states, we find that Γ can be nonzero even in the absence of disorder.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State University, University Park, PA (United States)

Sponsoring Organization:: Science and Engineering Research Board (SERB); USDOE Office of Science (SC)

Grant/Contract Number:: SC0005042

OSTI ID:: 1979762

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 20 Vol. 105; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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75 CONDENSED MATTER PHYSICS
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Revisiting excitation gaps in the fractional quantum Hall effect

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