Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-05-14
Phys. Rev. B 78, 085308 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
17 pages, 13 figures
Scientific paper
10.1103/PhysRevB.78.085308
This work proposes a new 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.
Anda Enrique V.
Busser C. A.
Chiappe Guillermo
Dagotto Elbio
Davidovich Maria A.
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