Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-12-09
Physics
Condensed Matter
Strongly Correlated Electrons
contribution to Les Houches proceedings 2006, Springer style
Scientific paper
10.1007/978-1-4020-8512-3_1
The functional renormalization group provides an efficient description of the interplay and competition of correlations on different energy scales in interacting Fermi systems. An exact hierarchy of flow equations yields the gradual evolution from a microscopic model Hamiltonian to the effective action as a function of a continuously decreasing energy cutoff. Practical implementations rely on suitable truncations of the hierarchy, which capture nonuniversal properties at higher energy scales in addition to the universal low-energy asymptotics. As a specific example we study transport properties through a single-level quantum dot coupled to Fermi liquid leads. In particular, we focus on the temperature T=0 gate voltage dependence of the linear conductance. A comparison with exact results shows that the functional renormalization group approach captures the broad resonance plateau as well as the emergence of the Kondo scale. It can be easily extended to more complex setups of quantum dots.
Andergassen Sabine
Enss Tilman
Karrasch Christoph
Meden Volker
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