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Physics 2012
Conductance in diffusive quasi-one-dimensional periodic waveguides: a semiclassical and random matrix studyAbstract: We study quantum transport properties of finite periodic quasi-one-dimensional waveguides whose classical dynamics is diffusive. The system we consider is a scattering configuration, composed of a finite periodic chain of $L$ identical (classically chaotic and finite-horizon) unit cells, which is connected to semi-infinite plane leads at its extremes. Particles inside the cavity are free and only interact with the boundaries through elastic collisions; this means waves are described by the Helmholtz equation with Dirichlet boundary conditions on the waveguide walls. The equivalent to the disorder ensemble is an energy ensemble, defined over a classically small range but many mean level spacings wide. The number of propagative channels in the leads is $N$. We have studied the (adimensional) Landauer conductance $g$ as a function of $L$ and $N$ in the cosine-shaped waveguide and by means of our RMT periodic chain model. We have found that $
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