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Equivalence of the Fokker-Planck Approach and the Nonlinear<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Model for Disordered Wires in the Unitary Symmetry Class

Equivalence of the Fokker-Planck Approach and the Nonlinear<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Model for Disordered Wires in the Unitary Symmetry Class

The exact solution of the Dorokhov-Mello-Pereyra-Kumar equation for quasi-one-dimensional disordered conductors in the unitary symmetry class is employed to calculate all $m$-point correlation functions by a generalization of the method of orthogonal polynomials. We obtain closed expressions for the first two conductance moments which are valid for the whole range …