Redistributing Chern Numbers of Landau Subbands: Tight-Binding Electrons under Staggered Modulated Magnetic Fields

2007/03/01 by Yi-Fei Wang, Chang-De Gong · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.98.096802

published as Phys. Rev. Lett. 98, 096802 (2007) · 5 pages, 5 figures, 1 table

openalex publication_date 2007/03/01 · arxiv created 2007/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the magnetotransport properties of electrons on a square lattice under a magnetic field with the alternate flux strength \ensuremathφ\ifmmode±\else\textpm\fi\ensuremathΔ\ensuremathφ in neighboring plaquettes. A new peculiar behavior of the Hall conductance has been found and is robust against weak disorder: if \ensuremathφ=(p/2N)2\ensuremathπ (p and 2N are coprime integers) is fixed, the Chern numbers of Landau subbands will be redistributed between neighboring pairs and hence the total quantized Hall conductance exhibits a direct transition by \ifmmode±\else\textpm\fiNe²/h at critical fillings when \ensuremathΔ\ensuremathφ is increased from 0 up to a critical value \ensuremathΔ\ensuremathφ_c. This effect can be an experimental probe of the staggered-flux phase.

Citations

• Effects of field modulation on the Hofstadter spectrum
• New Universality of the Metal-Insulator Transition in an Integer Quantum Hall Effect System
• Disappearance of Integer Quantum Hall Effect
• The pseudogap in high-temperature superconductors: an experimental survey

Cited by

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