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• W2735786622 abstract "We consider the dynamics of an electron in an infinite disordered metallic wire. We derive exact expressions for the probability of diffusive return to the starting point in a given time. The result is valid for wires with or without time-reversal symmetry and allows for the possibility of topologically protected conducting channels. In the absence of protected channels, Anderson localization leads to a nonzero limiting value of the return probability at long times, which is approached as a negative power of time with an exponent depending on the symmetry class. When topologically protected channels are present (in a wire of either unitary or symplectic symmetry), the probability of return decays to zero at long time as a power law whose exponent depends on the number of protected channels. Technically, we describe the electron dynamics by the one-dimensional supersymmetric nonlinear sigma model. We derive an exact identity that relates any local dynamical correlation function in a disordered wire of unitary, orthogonal, or symplectic symmetry to a certain expectation value in the random matrix ensemble of class AIII, CI, or DIII, respectively. The established exact mapping from a one- to a zero-dimensional sigma model is very general and can be used to compute any local observable in a disordered wire." @default.
• W2735786622 created "2017-07-21" @default.
• W2735786622 creator A5034171340 @default.
• W2735786622 creator A5060647385 @default.
• W2735786622 date "2017-11-09" @default.
• W2735786622 modified "2023-09-23" @default.
• W2735786622 title "Dynamics of Anderson localization in disordered wires" @default.
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• W2735786622 doi "https://doi.org/10.1103/physrevb.96.201105" @default.
• W2735786622 hasPublicationYear "2017" @default.
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