Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations

Details Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations

2003-08-18

arxiv.org/abs/cond-mat/0308338v1

Phys. Rev. B 69, 115108 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 6 figures (reduced in sizes), submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.69.115108

Two-dimensional Bloch electrons in a uniform magnetic field exhibit complex energy spectrum. When static electric and magnetic modulations with a checkerboard pattern are superimposed on the uniform magnetic field, more structures and symmetries of the spectra are found, due to the additional adjustable parameters from the modulations. We give a comprehensive report on these new symmetries. We have also found an electric-modulation induced energy gap, whose magnitude is independent of the strength of either the uniform or the modulated magnetic field. This study is applicable to experimentally accessible systems and is related to the investigations on frustrated antiferromagnetism.

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