Critical conductance of the chiral 2d random flux model

Details Critical conductance of the chiral 2d random flux model Critical conductance of the chiral 2d random flux model

2007-08-27

arxiv.org/abs/0708.3585v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

EP2DS-17, Genua 2007, accepted for publication in Physica E

Scientific paper

10.1016/j.physe.2007.08.083

The two-terminal conductance of a random flux model defined on a square lattice is investigated numerically at the band center using a transfer matrix method. Due to the chiral symmetry, there exists a critical point where the ensemble averaged mean conductance is scale independent. We also study the conductance distribution function which depends on the boundary conditions and on the number of lattice sites being even or odd. We derive a critical exponent $\nu=0.42\pm 0.05$ for square samples of even width using one-parameter scaling of the conductance. This result could not be obtained previously from the divergence of the localization length in quasi-one-dimensional systems due to pronounced finite-size effects.

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