2006/12/31 by Sabine Andergassen, Tilman Enss, Christoph Karrasch +1
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Effective action #Fermi liquid theory #Functional renormalization group #Hamiltonian (control theory) #Kondo effect #Quantum #Quantum and electron transport phenomena #Quantum dot #Renormalization #Renormalization group #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1007/978-1-4020-8512-3_1
contribution to Les Houches proceedings 2006, Springer style
arxiv created 2007/07/12 · openalex publication_date 2008/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.