Critical properties of the Fermi-Bose Kondo and pseudogap Kondo models: Renormalized perturbation theory

Abstract

Magnetic impurities coupled to both fermionic and bosonic baths or to a fermionic bath with pseudogap density of states, described by the Fermi-Bose Kondo and pseudogap Kondo models, display non-trivial intermediate coupling fixed points associated with critical local-moment fluctuations and local non-Fermi liquid behavior. Based on renormalization group together with a renormalized perturbation expansion around the free-impurity limit, we calculate various impurity properties in the vicinity of those intermediate-coupling fixed points. In particular, we compute the conduction electron T matrix, the impurity susceptibility, and the residual impurity entropy, and relate our findings to certain scenarios of local quantum criticality in strongly correlated lattice models.

16 pages, 5 figs; (v2) large-N results for entropy of Bose-Kondo model added; (v3) final version as published

References in corpus (4)

• Quantum phase transitions in the Bose-Fermi Kondo model
• Quantum impurity in an antiferromagnet: non-linear sigma model theory
• The pseudogap Fermi-Bose Kondo model
• Quantum impurity in a magnetic environment

Cited by in corpus (16)

• Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit
• 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
• Common non-Fermi liquid phases in quantum impurity physics
• Quantum phase transitions in a pseudogap Anderson-Holstein model
• Critical charge fluctuations in a pseudogap Anderson model
• Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems
• Critical quasiparticles in single-impurity and lattice Kondo models
• Numerical Renormalization Group for Impurity Quantum Phase Transitions: Structure of Critical Fixed Points
• Impurity resonant state in d-wave superconductors: in favor of a Kondo-like response
• Kondo physics in a dissipative environment
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
• Multi-Dirac and Weyl physics in heavy-fermion systems
• Critical theories for the pseudogap Kondo problem