Effects of the field modulation on the Hofstadter's spectrum

Details Effects of the field modulation on the Hofstadter's spectrum Effects of the field modulation on the Hofstadter's spectrum

1999-01-18

arxiv.org/abs/cond-mat/9901157v1

Phys. Rev. B 60, 1939 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages (in two-column), 10 figures (including 2 tables)

Scientific paper

10.1103/PhysRevB.60.1939

We study the effect of spatially modulated magnetic fields on the energy spectrum of a two-dimensional (2D) Bloch electron. Taking into account four kinds of modulated fields and using the method of direct diagonalization of the Hamiltonian matrix, we calculate energy spectra with varying system parameters (i.e., the kind of the modulation, the relative strength of the modulated field to the uniform background field, and the period of the modulation) to elucidate that the energy band structure sensitively depends on such parameters: Inclusion of spatially modulated fields into a uniform field leads occurrence of gap opening, gap closing, band crossing, and band broadening, resulting distinctive energy band structure from the Hofstadter's spectrum. We also discuss the effect of the field modulation on the symmetries appeared in the Hofstadter's spectrum in detail.

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