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Theory of directed localization in one dimension

P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker
Phys. Rev. B 56, R4333(R) – Published 15 August 1997
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Abstract

We present an analytical solution of the delocalization transition that is induced by an imaginary vector potential in a disordered chain [N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996)]. We compute the relation between the real and imaginary parts of the energy in the thermodynamic limit, as well as finite-size effects. The results are in good agreement with numerical simulations for weak disorder (in which the mean free path is large compared to the wavelength).

  • Received 19 May 1997

DOI:https://doi.org/10.1103/PhysRevB.56.R4333

©1997 American Physical Society

Authors & Affiliations

P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker

  • Instituut-Lorentz, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands

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Vol. 56, Iss. 8 — 15 August 1997

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