Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states

Pengjie Wang, Jian Sun, Hailong Fu, Yijia Wu, Hua Chen, L. N. Pfeiffer, K. W. West, X. C. Xie, Xi Lin

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4 Scopus citations


The spin-polarized even-denominator fractional quantum Hall (FQH) states in the second Landau level (LL), i.e., 5/2 and 7/2, may possess novel quasiparticle excitations obeying non-Abelian statistics. However, the spin polarization of the 7/2 FQH state has not been investigated experimentally and the spin polarization of the 5/2 FQH state from tilted-field experiments remains controversial. Using a piezodriven sample rotator with the lowest electron temperature down to 25 mK, we studied the energy gap of the even-denominator FQH states in the second LL by precise control of the tilted angles with a resolution less than 0.1°. We observed two different energy gap dependences on the in-plane magnetic field for 5/2, 7/2, other FQH states (7/3 and 8/3) in the second LL, and reentrant integer quantum Hall (RIQH) states in the third LL. Though the transition fields vary from states, their corresponding in-plane magnetic lengths are comparable to the quantum well thickness of the sample, which may result from the influence of the finite-thickness effect. At low in-plane magnetic fields, before the conjectured finite-thickness effect starts to dominate, the energy gaps of both 5/2 and 7/2 states show a nondecreasing behavior, supporting spin-polarized ground states. Our results also suggest that the 7/3, 8/3 FQH states, and the RIQH states in the third LL are spin polarized or partially spin polarized.

Original languageEnglish (US)
Article number022056
JournalPhysical Review Research
Issue number2
StatePublished - Jun 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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