Authors: Reza Sepehrinia
Publish Date: 2013/10/25
Volume: 153, Issue: 6, Pages: 1039-1048
Abstract
We discuss the conditions under which an anomaly occurs in conductance and localization length of Anderson model on a lattice Using the ladder Hamiltonian and analytical calculation of average conductance we find the set of resonance conditions which complements the πcoupling rule for anomalies We identify those anomalies that might vanish due to the symmetry of the lattice or the distribution of the disorder In terms of the dispersion relation it is known from strictly onedimensional model that the lowest order ie the most strong anomalies satisfy the equation Ek=E3k We show that the anomalies of the generalized model studied here are also the solutions of the same equation with modified dispersion relation
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