Beyond exponential localization in one-dimensional electrified chains

作者: Riccardo Farchioni , Giuseppe Grosso

DOI: 10.1088/0953-8984/9/23/001

关键词: Electric fieldTight bindingStatistical physicsPseudorandom number generatorElectron localization functionChain (algebraic topology)Aperiodic graphExponential functionPhysicsTransfer matrix

摘要: We interpret a new kind of localization in finite one-dimensional tight-binding model under weak applied electric field. This phenomenon is quite general and manifests itself more than exponential decreasing behaviour the chain transmittivity. provide analytic expressions for transmittivity confirm theoretical results by transfer matrix numerical calculations. show that this present ordered as well aperiodic (incommensurate pseudorandom systems) irrespective number allowed bands.

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