Electronic transport in a randomly amplifying and absorbing chain

1998/11/08 by Asok K. Sen
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf

published as Indian J. Phys. vol.72A, 363-367 (1998) · 7 LaTex pages plus 2 PS figures; e-mail: [email protected]

arxiv created 1998/11/08 · arxiv updated 2009/11/30

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 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.

Related

• Conductance for the two dimensional discrete random Schroedinger operator with small disorder
• Unusual Diffusivity in Strongly Disordered Quantum Lattices: Random Dimer Model
• Non-Hermitian Anderson Transport
• Transport and localization of waves in one-dimensional disordered media: Random phase approximation and beyond
• Universal non-Hermitian transport in disordered systems