Extended states in disordered systems: role of off-diagonal correlations

Abstract

We study one-dimensional systems with random diagonal disorder but off-diagonal short-range correlations imposed by structural constraints. We find that these correlations generate effective conduction channels for finite systems. At a certain golden correlation condition for the hopping amplitudes, we find an extended state for an infinite system. Our model has important implications to charge transport in DNA molecules, and a possible set of experiments in semiconductor superlattices is proposed to verify our most interesting theoretical predictions.

arXiv comment4pp, 3 figs, to appear in PRB

References in corpus (7)

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• Experimental evidence of delocalized states in random dimer superlattices
• Backbone-induced semiconducting behavior in short DNA wires
• Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach
• Electrical transport through individual DNA molecules
• Correlated defects, metal-insulator transition, and magnetic order in ferromagnetic semiconductors
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Cited by in corpus (16)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Electronic Transport in DNA
• Dissipative Effects in the Electronic Transport through DNA Molecular Wires
• Localization Properties of Electronic States in Polaron Model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers
• Controlled engineering of extended states in disordered systems
• Symmetry-Induced Tunnelling in One-Dimensional Disordered Potentials
• Tight-binding modeling of charge migration in DNA devices
• AC-field-controlled localization-delocalization transition in one dimensional disordered system
• Critical parameters for the one-dimensional systems with long-range correlated disorder
• Controlling disorder with periodically modulated interactions
• Fluctuations in quantum one-dimensional thermostatted systems with off-diagonal disorder
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Non-Hermitian off-diagonal disordered optical lattices
• The odd-even effect of mosaic modulation period of quasi-periodic hopping on the Anderson localization in a one-dimensional lattice model
• Controlled delocalization of electronic states in a multi-strand quasiperiodic lattice
• Evidence of phonon-assisted tunnelling in electrical conduction through DNA molecules