Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations

  title={Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations},
  author={M. C. Chang and Min-Fong Yang},
  journal={Physical Review B},
Two-dimensional Bloch electrons in a uniform magnetic field exhibit a 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 symmetries. We have also found an electric-modulation induced energy gap, whose magnitude is independent of the… Expand
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