Universality of Weak Localization in Disordered Wires
C.W.J. Beenakker (Instituut-Lorentz, Leiden, The Netherlands)
TL;DR
This paper demonstrates that weak localization effects in disordered quasi-one-dimensional conductors are universal, independent of sample specifics, and depend solely on the symmetry class of the scattering matrix ensemble.
Contribution
It generalizes weak localization theory to all linear statistics of transmission eigenvalues, showing universality across different sample parameters.
Findings
Weak localization correction is independent of sample length.
The correction depends only on the symmetry class of the scattering matrix.
The results apply universally to all linear statistics of transmission eigenvalues.
Abstract
We compute the quantum correction due to weak localization for transport properties of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pereyra-Kumar equation for the distribution of the transmission eigenvalues. The result is independent of sample length or mean free path, and has a universal dependence on the symmetry index of the ensemble of scattering matrices. This result generalizes the theory of weak localization for the conductance to all linear statistics on the transmission eigenvalues. ***Accepted for publication in Physical Review B.****
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