Tratamento semiclássico do transporte quântico caótico com uma barreira de tunelamento

Abstract

Using a semiclassical approach formulated in terms of a matrix integral, we consider the description of quantum chaotic transport when a tunnel barrier is present in one of the leads. For this description, we obtain the transport moments as a power series in the reflection probability of the barrier, whose coefficients are rational functions of the number of open channels M. Our results are therefore valid in the quantum regime and not only when M ≫ 1. The expressions we arrive at are not identical to the Random Matrix Theory ones corresponding to the same problem, but are in fact much simpler. Both theories agree as far as we can test.