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Theory of directed localization in one dimension

P. W. Brouwer·P. G. Silvestrov·C. W. J. Beenakker
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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), cond-mat/9603165]. 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 (mean free path large compared to the wavelength).

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P. W. Brouwer, P. G. Silvestrov, C. W. J. Beenakker. 1997-05-19. Theory of directed localization in one dimension. https://doi.org/10.1103/physrevb.56.r4333

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