title: Confinement of electrons in layered metals.
abstract: We analyze the out of plane hopping in models of layered systems where the in-plane properties deviate from Landau's theory of a Fermi liquid. We show that the hopping term acquires a nontrivial energy dependence, due to the coupling to in-plane excitations, and the resulting state, at low temperatures, can be either conducting or insulating in the third direction. The latter is always the case if the Fermi level lies close to a saddle point in the dispersion relation.
authors.affiliation: Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain.
authors.forename: M A H
authors.initials: MA
authors.lastname: Vozmediano
authors.forename: M P
authors.initials: MP
authors.lastname: López-Sancho
authors.forename: F
authors.initials: F
authors.lastname: Guinea