Abstract
Electrical conductivity in two dimensions is investigated numerically by treating samples composed of up to 100 × 100 sites. The quantity which is proportional to the conductivity in the thermodynamic limit is introduced and computed using the eigenstates at the Fermi energy, and its dependence on a kind of complex frequency or the system size is examined. The difference between the computed and the classical (Drude-like) values is estimated and the logarithmic dependence is observed when the Fermi energy is not near the band center. If the Fermi energy is near the band center the situation is rather complicated. The effect of the system size and the accuracy of the computations are also discussed.
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© 1982 Springer-Verlag Berlin Heidelberg
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Yoshino, S. (1982). Numerical Study of DC Conductivity in Two-Dimensional Disordered Systems. In: Nagaoka, Y., Fukuyama, H. (eds) Anderson Localization. Springer Series in Solid-State Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81841-7_8
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DOI: https://doi.org/10.1007/978-3-642-81841-7_8
Publisher Name: Springer, Berlin, Heidelberg
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