Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
arXiv:cond-mat/0309262 · doi:10.1103/PhysRevB.70.094502
Abstract
Impurity moments coupled to fermions with a pseudogap density of states display a quantum phase transition between a screened and a free moment phase upon variation of the Kondo coupling. We describe the universal theory of this transition for the experimentally relevant case of particle-hole asymmetry. The theory takes the form of a crossing between effective singlet and doublet levels, interacting with low-energy fermions. Depending on the pseudogap exponent, this interaction is either relevant or irrelevant under renormalization group transformations, establishing the existence of an upper-critical "dimension" in this impurity problem. Using perturbative renormalization group techniques we compute various critical properties and compare with numerical results.
4 pages, 2 figs, (v2) title changed, log corrections for r=1 added
References in corpus (1)
Cited by in corpus (35)
- Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
- Kondo Quantum Criticality of Magnetic Adatoms in Graphene
- The Physics of Kondo Impurities in Graphene
- Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
- Gate-controlled Kondo screening in graphene: Quantum criticality and electron-hole asymmetry
- Theory of quantum impurities in spin liquids
- Kondo effect on the surface of 3D topological insulators: Signatures in scanning tunneling spectroscopy
- Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
- Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
- Two-bath spin-boson model: Phase diagram and critical properties
- Block Lanczos density-matrix renormalization group method for general Anderson impurity models: Application to magnetic impurity problems in graphene
- Common non-Fermi liquid phases in quantum impurity physics
- Kondo effect in twisted bilayer graphene
- Single Magnetic Impurity in Tilted Dirac Surface States
- Diffusion of fluorine adatoms on doped graphene
- Kondo physics in the algebraic spin liquid
- Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies
- Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems
- Ferromagnetic induced Kondo effect in graphene with a magnetic impurity
- Kondo screening and coherence in kagome local-moment metals: Energy scales of heavy fermions in the presence of flat bands
- Critical quasiparticles in single-impurity and lattice Kondo models
- Numerical Renormalization Group for Impurity Quantum Phase Transitions: Structure of Critical Fixed Points
- Many-Body Effects in Topological Kondo Insulators
- Spatial anisotropy of Kondo screening cloud in a type-II Weyl semimetal
- Real-time dynamics induced by quenches across the quantum critical points in gapless Fermi systems with a magnetic impurity
- Vacancy-induced tunable Kondo effect in twisted bilayer graphene
- Conductance of closed and open long Aharonov-Bohm-Kondo rings
- Kondo-lattice screening in a d-wave superconductor
- Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
- Critical anomalous metals near superconductivity in models with random interactions
- Two-channel charge-Kondo physics in graphene quantum dots
- Multi-Dirac and Weyl physics in heavy-fermion systems
- Phase diagram of a pseudogap Anderson model with application to graphene
- Selective Kondo screening and strange metallicity by sliding Dirac semimetals
- Critical theories for the pseudogap Kondo problem