Abstract:
We study the three-dimensional Anderson model of localization with anisotropic hopping, i.e., weakly coupled chains and weakly coupled planes. In our extensive numerical study we identify and characterize the metal-insulator transition by means of the transfer-matrix method. The values of the critical disorder obtained are consistent with results of previous studies, including multifractal analysis of the wave functions and energy-level statistics. decreases from its isotropic value with a power law as a function of anisotropy. Using high accuracy data for large system sizes we estimate the critical exponent as . This is in agreement with its value in the isotropic case and in other models of the orthogonal universality class.
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Received 25 October 1999
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Milde, F., Römer, R., Schreiber, M. et al. Critical properties of the metal-insulator transition in anisotropic systems. Eur. Phys. J. B 15, 685–690 (2000). https://doi.org/10.1007/s100510051173
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DOI: https://doi.org/10.1007/s100510051173