September 1, 1981

Anderson localization in a nonlinear-σ-model representation

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Resumen

It is shown that the behavior of Anderson localization near the mobility edge is described by a noncompact nonlinear model in 2+ dimensions. The explicit calculation in perturbation gives one-to-one correspondence with the effective Hamiltonian of the nonlinear model. The renormalization-group function and the anisotropic effect are discussed.

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S. Hikami (Tue,) studied this question.

synapsesocial.com/papers/6a0dcb85cecdf5fb20ba9b55 https://doi.org/https://doi.org/10.1103/physrevb.24.2671

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