Non-hermitean delocalization in an array of wells with variable-range widths

Details Non-hermitean delocalization in an array of wells with variable-range widths Non-hermitean delocalization in an array of wells with variable-range widths

2000-06-02

arxiv.org/abs/cond-mat/0006029v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

20 pages,10 figures

Scientific paper

10.1103/PhysRevB.64.174202

Nonhermitean hamiltonians of convection-diffusion type occur in the description of vortex motion in the presence of a tilted magnetic field as well as in models of driven population dynamics. We study such hamiltonians in the case of rectangular barriers of variable size. We determine Lyapunov exponent and wavenumber of the eigenfunctions within an adiabatic approach, allowing to reduce the original d=2 phase space to a d=1 attractor. PACS numbers:05.70.Ln,72.15Rn,74.60.Ge

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