2015/09/30 by Jianhui Wang
Computer Science · Physics and Astronomy · #Composite fermion #Condensed matter physics #Electron #Fractional quantum Hall effect #Physics #Quantum #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Quantum well #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.085117
published as Phys. Rev. B 93, 085117 (2016) · The main changes are that Landau level mixing destroys the fractional quantum Hall effect near the level crossing point, and that the Moore-Read state and the Read-Rezayi state are favoured only for sufficiently wide quantum wells (caused by a mistake in some of the interaction matrix elements). 8 pages, 8 figures
arxiv created 2016/01/24 · openalex publication_date 2016/02/10 · arxiv updated 2016/02/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the possibility of fractional quantum Hall effects in HgTe quantum wells using exact diagonalization. Our results show that Laughlin states, the Moore-Read state, and the Read-Rezayi Z3 state can all be supported. However, near the level crossing point (of the single-particle spectrum) the gap can be destroyed by Landau level mixing, and the Moore-Read state and the Read-Rezayi state dominate over their respective competing states only for wide wells. For smaller well widths the Moore-Read state crosses over to the composite fermion Fermi sea, while the Read-Rezayi state loses its dominance over the hierarchy state.