Publication: Bloch oscillations in an aperiodic one-dimensional potential
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2005-03
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American Physical Society
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Abstract
We study the dynamics of an electron subjected to a static uniform electric field within a one-dimensional tight-binding model with a slowly varying aperiodic potential. The unbiased model is known to support phases of localized and extended one-electron states separated by two mobility edges. We show that the electric field promotes sustained Bloch oscillations of an initial Gaussian wave packet whose amplitude reflects the bandwidth of extended states. The frequency of these oscillations exhibits unique features, such as a sensitivity to the initial wave packet position and a multimode structure for weak fields, originating from the characteristics of the underlying aperiodic potential.
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© 2005 The American Physical Society.
We are very thankful to H. Yamada for bringing to our attention the problem of aperiodic potentials with mobility edges. Work in Brazil was supported by CNPq and CAPES sBrazilian research agenciesd and FAPEAL sAlagoas State agencyd. Work at Madrid was supported by DGI-MCyT sGrant No. MAT2003-01533d and CAM sGrant No. GR/MAT/0039/2004d.
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