
Physics 2012
Conductance in diffusive quasionedimensional periodic waveguides: a semiclassical and random matrix studyAbstract: We study quantum transport properties of finite periodic quasionedimensional 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 finitehorizon) unit cells, which is connected to semiinfinite 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 cosineshaped waveguide and by means of our RMT periodic chain model. We have found that $
