Abstract
This work proposes an approach to study transport properties of highly correlated local structures. The
method, dubbed the logarithmic discretization embedded cluster approximation LDECA, consists of diagonalizing
a finite cluster containing the many-body terms of the Hamiltonian and embedding it into the rest of
the system, combined with Wilson���s idea of a logarithmic discretization of the representation of the Hamiltonian.
The physics associated with both one embedded dot and a double-dot side coupled to leads is discussed
in detail. In the former case, the results perfectly agree with Bethe ansatz data, while in the latter, the physics
obtained is framed in the conceptual background of a two-stage Kondo problem. A many-body formalism
provides a solid theoretical foundation to the method. We argue that LDECA is well suited to study complicated
problems such as transport through molecules or quantum dot structures with complex ground states.
