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Localization Properties of a Quasi‐One‐Dimensional Periodic Chain under Nonuniform Magnetic Fields
Author(s) -
Oh GiYeong
Publication year - 2001
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200107)226:1<167::aid-pssb167>3.0.co;2-e
Subject(s) - modulation (music) , chain (unit) , magnetic field , eigenvalues and eigenvectors , physics , condensed matter physics , field (mathematics) , diffusion , energy (signal processing) , mathematics , quantum mechanics , acoustics , pure mathematics
We study the localization properties of an electron in a quasi‐one‐dimensional periodic chain subject to nonuniform magnetic fields. After clarifying the condition under which the localization effect induced by a uniform magnetic field survives in the presence of field modulation, we demonstrate that the character of the energy spectrum and the eigenstates depends crucially on the type of field modulation; in view of the dynamic aspect, diverse behaviors ranging from a complete absence of diffusion to the ballistic transport emerge, depending on the type of field modulation.