Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
arXiv:cond-mat/0604603 · doi:10.1103/PhysRevB.74.144410
Abstract
The pseudogap Kondo problem, describing a magnetic impurity embedded in an electronic environment with a power-law density of states, displays continuous quantum phase transitions between free and screened moment phases. In this paper we employ renormalization group techniques to analytically calculate universal crossover functions, associated to these transitions, for various observables. Quantitative agreement with the results of Numerical Renormalization Group (NRG) simulations is obtained for temperature-dependent static and zero-temperature dynamic quantities, at and away from criticality. In the notoriously difficult realm of finite-temperature low-frequency dynamics, usually inaccessible to both NRG and perturbative methods, we show that progress can be made by a suitable renormalization procedure in the framework of the Callan-Symanzik equations. Our general strategy can be extended to other zero-temperature phase transitions, both in quantum impurity models and bulk systems.
19 pages, 18 figures; (v3) version as published
References in corpus (6)
- Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
- Quantum phase transitions in the Bose-Fermi Kondo model
- Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
- Theory of inelastic scattering from magnetic impurities
- Critical properties of the Fermi-Bose Kondo and pseudogap Kondo models: Renormalized perturbation theory
- The pseudogap Fermi-Bose Kondo model
Cited by in corpus (4)
- The electronic properties of graphene
- Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
- Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
- Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths