Quantum phase transitions in the Bose-Fermi Kondo model
arXiv:cond-mat/0204118 · doi:10.1103/PhysRevB.66.024427
Abstract
We study quantum phase transitions in the Bose-Fermi Kondo problem, where a local spin is coupled to independent bosonic and fermionic degrees of freedom. Applying a second order expansion in the anomalous dimension of the Bose field we analyze the various non-trivial fixed points of this model. We show that anisotropy in the couplings is relevant at the SU(2) invariant non Fermi liquid fixed points studied earlier and thus the quantum phase transition is usually governed by XY or Ising-type fixed points. We furthermore derive an exact result that relates the anomalous exponent of the Bose field to that of the susceptibility at any finite coupling fixed point. Implications on the dynamical mean field approach to locally quantum critical phase transitions are also discussed.
13 pages, 9 figures, some references added/corrected
References in corpus (15)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Locally critical quantum phase transitions in strongly correlated metals
- Onset of antiferromagnetism in heavy fermion metals
- Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
- Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
- Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model
- Two-stage Kondo effect in a quantum dot at high magnetic field
- Quantum Phase Transition in a Multi-Level Dot
- Quantum phase transitions in models of coupled magnetic impurities
- Kondo tunneling through real and artificial molecules
- Mixed-valent regime of the two-channel Anderson impurity as a model for UBe_13
- Solution of the two impurity, two channel Kondo Model
- Static hole in a critical antiferromagnet: field-theoretic renormalization group
- Spin orthogonality catastrophe in two-dimensional antiferromagnets and superconductors
- Small Energy Scale for Mixed-Valent Uranium Materials
Cited by in corpus (87)
- Quantum Criticality in Heavy Fermion Metals
- Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
- Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
- Impurity Quantum Phase Transitions
- Local fluctuations in quantum critical metals
- Critical and strong-coupling phases in one- and two-bath spin-boson models
- Locally critical point in an anisotropic Kondo lattice
- Coulomb blockade of a noisy metallic box: A realization of Bose-Fermi Kondo models
- Continuous quantum phase transition in a Kondo lattice model
- Theory of quantum impurities in spin liquids
- Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit
- Unification of electromagnetic noise and Luttinger liquid via a quantum dot
- Quantum impurity in an antiferromagnet: non-linear sigma model theory
- Topological Superconductor-Luttinger Liquid Junctions
- Numerical renormalization-group study of the Bose-Fermi Kondo model
- Quantum Magnetic Impurities in Magnetically Ordered Systems
- Frustration of Decoherence in Open Quantum Systems
- Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
- Spin-boson coupling in continuous-time quantum Monte Carlo
- Hidden Caldeira-Leggett dissipation in a Bose-Fermi Kondo model
- Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
- Majorana representation for dissipative spin systems
- Quantum Criticality in Ferromagnetic Single-Electron Transistors
- Two-bath spin-boson model: Phase diagram and critical properties
- Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
- Quantum Criticality out of Equilibrium: Steady State in a Magnetic Single-Electron Transistor
- Sequential localization of a complex electron fluid
- Symmetry and the critical phase of the two-bath spin-boson model: Ground-state properties
- Critical properties of the Fermi-Bose Kondo and pseudogap Kondo models: Renormalized perturbation theory
- Efimov States of Heavy Impurities in a Bose-Einstein Condensate
- Scaling and Enhanced Symmetry at the Quantum Critical Point of the Sub-Ohmic Bose-Fermi Kondo Model
- Dissipation-induced quantum phase transition in a quantum box
- Global Phase Diagram of the Kondo Lattice: From Heavy Fermion Metals to Kondo Insulators
- Charge relaxation resistance in the Coulomb blockade problem
- Quantum phase transitions and thermodynamics of the power-law Kondo model
- The pseudogap Fermi-Bose Kondo model
- Spin Liquid Behavior in Electronic Griffiths Phases
- Quantum impurity models of noisy qubits
- Double-dot charge qubit and transport via dissipative cotunneling
- Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
- Magnetic Quantum Phase Transitions in Kondo Lattices
- Long-range entanglement near a Kondo-destruction quantum critical point
- Quantum Monte Carlo simulation of spin-boson models using wormhole updates
- Consequences of the local spin self-energy approximation on the heavy Fermion quantum phase transition
- Quantum criticality of the sub-ohmic spin-boson model
- Fixed point annihilation for a spin in a fluctuating field
- Dynamical scaling of charge and spin responses at a Kondo destruction quantum critical point
- Solvable models of two-level systems coupled to itinerant electrons: Robust non-Fermi liquid and quantum critical pairing
- Dynamical mean-field theory for quantum spin systems: Test of solutions for magnetically ordered states
- Local quantum criticality out of equilibrium - effective temperatures and scaling in the steady state regime
- SU(2)-Symmetric Spin-Boson Model: Quantum Criticality, Fixed-Point Annihilation, and Duality
- Relaxation dynamics of the electron distribution in the Coulomb blockade problem
- Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies
- Quantum critical metals and loss of quasiparticles
- Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
- The problem of "macroscopic charge quantization" in single-electron devices
- Non-equilibrium dynamics of a system with Quantum Frustration
- Quantum impurity in a magnetic environment
- Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems
- Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
- Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
- The Functional Integral formulation of the Schrieffer-Wolff transformation
- Critical quasiparticles in single-impurity and lattice Kondo models
- Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
- Bose-Fermi Anderson Model with SU(2) Symmetry: Continuous-Time Quantum Monte Carlo Study
- Local quantum critical point and non-Fermi liquid properties
- Frustration-induced anomalous transport and strong photon decay in waveguide QED
- Critical behavior of an impurity at the boson superfluid-Mott insulator transition
- Impurity resonant state in d-wave superconductors: in favor of a Kondo-like response
- The halon: a quasiparticle featuring critical charge fractionalization
- Fixed Points of the Dissipative Hofstadter Model
- Bose-Fermi Kondo model with Ising anisotropy: cluster-Monte Carlo approach
- Kondo physics in a dissipative environment
- Magnetic Single-Electron Transistor as a Tunable Model System for Kondo-Destroying Quantum Criticality
- Critical phase induced by Berry phase and dissipation in a spin chain
- Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation
- Spectral flow of trimer states of two heavy impurities and one light condensed boson
- Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators
- Critical Kondo destruction and the violation of the quantum-to-classical mapping of quantum criticality
- Quantum impurity model for two-stage multipolar ordering and Fermi surface reconstruction
- Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
- Continuous order-to-order quantum phase transitions from fixed-point annihilation
- Ultraviolet/infrared mixing-driven suppression of Kondo screening in the antiferromagnetic quantum critical metal
- Tunable phase transition in a dissipative two-spin system: A renormalization group study
- Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths
- Even-Odd effect of an Spin-S impurity coupled to a quantum critical system
- Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model