Abstract
This work shows that delocalization phenomena in single-electron quasi-one-dimensionalquantum chains may occur at points different from the center of the energy spectrum(E = 0) and in systems lacking the symmetry . It is found that the peaks appearing in the average conductance are controlled by theband structure of the periodic system underlying the disorder. The average conductance isexpanded in powers of the disorder strength, allowing the conductance to be redefined asthe sum of a regular and an anomalous contribution. The first non-vanishing term of theanomalous part is of the fourth order. The fourth-order term can be calculated for anynumber of coupled chains in terms of a matrix expression. For strictly one-dimensionalsystems the expansion is calculated up to the 12th order for both diagonal and realoff-diagonal disorder and is compared with the numerical data. It is also found that theanomalous contribution defined here is responsible for an even–odd effect of the averageconductance.
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