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Phase distribution in 1D localization and phase transitions in single-mode waveguides by Suslov, I. M. is a scholarly article available to read on EtoBox.

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Localization of electrons in 1D disordered systems is usually described in the random phase approximation, when distributions of phases \varphi and \theta, entering the transfer matrix, are considered as uniform. In the general case, the random phase approximation is violated, and the evolution equations (when the system length L is increased) contain three independent variables, i.e. the Landauer resistance \rho and the combined phases \psi=\theta-\varphi and \chi=\theta+\varphi. The phase \chi does not affect the evolution of \rho and was not considered in previous papers. The distribution of the phase \psi is found to exhibit an unusual phase transition at the point E_0 when changing the electron energy E, which manifests itself in the appearance of the imaginary part of \psi. The distribution of resistance P(\rho) has no singularity at the point E_0, and the transition looks unobservable in the electron disordered systems. However, the theory of 1D localization is immediately applicable to propagation of waves in single-mode optical waveguides. The optical methods are more efficient and provide possibility to measure phases \psi and \chi. On the one hand, it makes observable th

Author

Suslov, I. M.

Published

2024

Language

EN