Electronic transport in a randomly amplifying and absorbing chain

Details Electronic transport in a randomly amplifying and absorbing chain Electronic transport in a randomly amplifying and absorbing chain

1998-11-08

arxiv.org/abs/cond-mat/9811108v1

Indian J. Phys. vol.72A, 363-367 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 LaTex pages plus 2 PS figures; e-mail: asok@cmp.saha.ernet.in

Scientific paper

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 ordered (fixed), and a random imaginary part implying the presence of either a random absorption or amplification at each site. The transmittance (forward scattering) decays exponentially in either case. In contrast to the disorder in the real part of the potential (Anderson localization), the transmittance with the disordered imaginary part may decay slower than that in the case of ordered imaginary part.

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