It is shown that the behavior of Anderson localization near the mobility edge is described by a noncompact nonlinear σ model in 2+ε dimensions. The explicit calculation in perturbation gives one-to-one correspondence with the effective Hamiltonian of the nonlinear σ model. The renormalization-group β function and the anisotropic effect are discussed.
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S. Hikami (1981) studied this question.
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