Conductance scaling at the band center of wide wires with pure non--diagonal disorder

Details Conductance scaling at the band center of wide wires with pure non--diagonal disorder Conductance scaling at the band center of wide wires with pure non--diagonal disorder

2001-07-06

arxiv.org/abs/cond-mat/0107140v2

Phys. Rev. B 65, 054201 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 9 figures, RevTeX macro

Scientific paper

10.1103/PhysRevB.65.054201

Kubo formula is used to get the scaling behavior of the static conductance distribution of wide wires showing pure non-diagonal disorder. Following recent works that point to unusual phenomena in some circumstances, scaling at the band center of wires of odd widths has been numerically investigated. While the conductance mean shows a decrease that is only proportional to the inverse square root of the wire length, the median of the distribution exponentially decreases as a function of the square root of the length. Actually, the whole distribution decays as the inverse square root of the length except close to G=0 where the distribution accumulates the weight lost at larger conductances. It accurately follows the theoretical prediction once the free parameter is correctly fitted. Moreover, when the number of channels equals the wire length but contacts are kept finite, the conductance distribution is still described by the previous model. It is shown that the common origin of this behavior is a simple Gaussian statistics followed by the logarithm of the E=0 wavefunction weight ratio of a system showing chiral symmetry. A finite value of the two-dimensional conductance mean is obtained in the infinite size limit. Both conductance and the wavefunction statistics distributions are given in this limit. This results are consistent with the 'critical' character of the E=0 wavefunction predicted in the literature.

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