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Amplification or Reduction of Backscattering in a Coherently Amplifying or Absorbing Disordered Chain | | Asok K. Sen
; | | Date: |
28 Oct 1997 | | Subject: | Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect | cond-mat.dis-nn cond-mat.mes-hall | | Abstract: | We study localization properties of a one-dimensional disordered system characterized by a random non-hermitean hamiltonian where both the randomness and the non-hermiticity arises in the local site-potential; its real part being random, and a constant imaginary part implying the presence of either a coherent absorption or amplification at each site. While the two-probe transport properties behave seemingly very differently for the amplifying and the absorbing chains, the logarithmic resistance $u$ = ln$(1+R_4)$ where $R_4$ is the 4-probe resistance gives a unified description of both the cases. It is found that the ensemble-averaged $$ increases linearly with length indicating exponential growth of resistance. While in contrast to the case of Anderson localization (random hermitean matrix), the variance of $u$ could be orders of magnitude smaller in the non-hermitean case, the distribution of $u$ still remains non-Gaussian even in the large length limit. | | Source: | arXiv, cond-mat/9710300 | | Services: | Forum | Review | PDF | Favorites | |
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