Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem

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.

arXiv comment4 pages, 2 figs, (v2) title changed, log corrections for r=1 added

References in corpus (17)

• Locally critical quantum phase transitions in strongly correlated metals
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems
• Anderson impurity in pseudo-gap Fermi systems
• Local fluctuations in quantum critical metals
• Evidence for a generic novel quantum transition in high-Tc cuprates
• Impurity in a d-wave superconductor: Kondo effect and STM spectra
• Persistence of Li Induced Kondo Moments in the Superconducting State of Cuprates
• Critical local-moment fluctuations, anomalous exponents, and omega/T scaling in the Kondo problem with a pseudogap
• Kondo effect in flux phases
• Anderson impurities in gapless hosts: comparison of renormalization group and local moment approaches
• Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
• A Local Moment Approach to magnetic impurities in gapless Fermi systems
• Overscreening of magnetic impurities in $d_{x^2-y^2}$ wave superconductors
• Kondo Effect in Fermi Systems with a Gap: A Renormalization Group Study
• Kondo effect in d-wave superconductors
• The pseudogap Fermi-Bose Kondo model

Cited by in corpus (66)

• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Universal scaling behavior of non-equilibrium phase transitions
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
• Impurity Quantum Phase Transitions
• 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
• Kondo effect in three-dimensional Dirac and Weyl systems
• Gate-controlled Kondo screening in graphene: Quantum criticality and electron-hole asymmetry
• Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
• Theory of quantum impurities in spin liquids
• Magnetic Structure of Hydrogen Induced Defects on Graphene
• 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
• A magnetic Impurity in a Weyl semimetal
• The Kondo effect in bosonic spin liquids
• Kondo effect with diverging hybridization: possible realization in graphene with vacancies
• Kondo destruction and valence fluctuations in an Anderson model
• Numerical Renormalization Group for the sub-ohmic spin-boson model: A conspiracy of errors
• 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
• Mott quantum criticality in the one-band Hubbard model: Dynamical mean-field theory, power-law spectra, and scaling
• Common non-Fermi liquid phases in quantum impurity physics
• Pseudogap Anderson impurity model out of equilibrium: A master equation tensor network approach
• Quantum phase transitions and thermodynamics of the power-law Kondo model
• Magnetic adatoms on graphene in the Kondo regime: an Anderson model treatment
• Two-channel pseudogap Kondo and Anderson models: Quantum phase transitions and non-Fermi liquids
• Deconfined critical point in a doped random quantum Heisenberg magnet
• Kondo effect in twisted bilayer graphene
• Kondo impurity on the honeycomb lattice at half-filling
• Transport signatures of Kondo physics and quantum criticality in graphene with magnetic impurities
• Single Magnetic Impurity in Tilted Dirac Surface States
• Diffusion of fluorine adatoms on doped graphene
• Kondo physics in the algebraic spin liquid
• Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
• Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies
• Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems
• Electrical and thermoelectrical transport in Dirac fermions through a quantum dot
• 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
• Phase boundaries of the pseudogap Anderson and Kondo models
• Density matrix renormalization group study in energy space for a single-impurity Anderson model and an impurity quantum phase transition
• Anomalous density fluctuations in a random $t$-$J$ model
• Critical quasiparticles in single-impurity and lattice Kondo models
• Strange metal state near a heavy-fermion quantum critical point
• Numerical Renormalization Group for Impurity Quantum Phase Transitions: Structure of Critical Fixed Points
• Critical points and non-Fermi liquids in the underscreened pseudogap Kondo model
• Many-Body Effects in Topological Kondo Insulators
• Spatial anisotropy of Kondo screening cloud in a type-II Weyl semimetal
• Quantum criticality out of equilibrium in the pseudogap Kondo model
• 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
• Overscreened Kondo fixed point in S=1 spin liquid
• Modified Pade approach for analytic continuation: Application to the zero-gap Kondo lattice model
• Transport properties for a quantum dot coupled to normal leads with pseudogap
• 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