A gentle introduction to the functional renormalization group: the Kondo effect in quantum dots
arXiv:cond-mat/0612229 · doi:10.1007/978-1-4020-8512-3_1
Abstract
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.
contribution to Les Houches proceedings 2006, Springer style
References in corpus (8)
- Exact evolution equation for the effective potential
- Kondo Physics in a Single Electron Transistor
- The Exact Renormalisation Group and Approximate Solutions
- The Kondo Effect in the Unitary Limit
- Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
- Transmission Phase Shift of a Quantum Dot with Kondo Correlations
- Magnetotransport through a strongly interacting quantum dot
- Functional renormalization group approach to zero-dimensional interacting systems