Theory of directed localization in one dimension
- 15 August 1997
- journal article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 56 (8) , R4333-R4335
- https://doi.org/10.1103/physrevb.56.r4333
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). DOI: http://dx.doi.org/10.1103/PhysRevB.56.R4333 © 1997 The American Physical SocietyKeywords
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