Abstract
Electric field induced localization properties of a tight-binding ladder network in presence of backbone sites are investigated. Based on Green's function formalism we numerically calculate two-terminal transport together with density of states for different arrangements of atomic sites in the ladder and its backbone. Our results lead to a possibility of getting multiple mobility edges which essentially plays a switching action between a completely opaque to fully or partly conducting region upon the variation of system Fermi energy, and thus, support in fabricating mesoscopic or DNA-based switching devices.
Highlights
Manifestation of localization of single particle states in low-dimensional quantum systems has always been in limelight of research in condensed matter physics since its prediction
In this work we investigate localization properties of a tight-binding ladder network, constructed by coupling two superlattice chains laterally, in presence of an external electric field
In the absence of any electric field associated with the voltage bias, electrons can conduct through the ladder for all possible allowed energies corresponding to the energy eigenvalues of the ladder which can be clearly noticed from the upper panel of Fig. 3(a)
Summary
Manifestation of localization of single particle states in low-dimensional quantum systems has always been in limelight of research in condensed matter physics since its prediction. The existence of localized surface states in crystals has been first suggested by Tamm[6], on the basis of a special 1D model proposed by James[7], popularity of this phenomenon among scientists has been started to grow following the work of Wannier[3] which has won its way after the widespread application to the optical properties of quantum wells[8,9] For both these two typical cases i.e., systems with random site energies and samples with external electric field, one cannot find the existence of mobility edge separating the conducting states from the non-conducting region, since all the energy levels are localized.
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