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Flat-band engineering of mobility edges

Title : Flat-band engineering of mobility edges
Issue Date : 201506
Journal : PHYSICAL REVIEW B, v.91, no.23, pp.235134-1 - 235134-7
Abstract : Properly modulated flat-band lattices have a divergent density of states at the flat-band energy. Quasiperiodic modulations are known to host a metal-insulator transition already in one space dimension. Their embedding into flat-band geometries consequently allows for a precise engineering and fine tuning of mobility edges. We obtain analytic expressions for singular mobility edges for two flat-band lattice examples. In particular, we engineer cases with arbitrarily small energy separations of mobility edge, zeroes, and divergencies.
ISSN : 1098-0121
Language : English
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