Critical Kondo destruction in a pseudogap Anderson model: scaling and relaxational dynamics

Abstract

We study the pseudogap Anderson model as a prototype system for critical Kondo destruction. We obtain finite-temperature (T) scaling functions near its quantum critical point, using a continuous-time quantum Monte Carlo method and also considering a dynamical large-N limit. We are able to determine the behavior of the scaling functions in the typically-difficult-to-access quantum-relaxational regime (hbar w < k_B T), and conclude that the relaxation rates for both the spin and single-particle excitations are linear in temperature. We discuss the implications of these results for the quantum critical phenomena in heavy fermion metals.

4+ pages, 3 EPS figures; final version

References in corpus (13)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Heavy Fermions and Quantum Phase Transitions
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Tunable Kondo Effect in Graphene with Defects
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Zero-field Kondo splitting and quantum-critical transition in double quantum dots
• 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
• Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
• Scaling and Enhanced Symmetry at the Quantum Critical Point of the Sub-Ohmic Bose-Fermi Kondo Model
• Finite Size Scaling of Classical Long-Ranged Ising Chains and the Criticality of Dissipative Quantum Impurity Models

Cited by in corpus (25)

• The Physics of Kondo Impurities in Graphene
• Kondo destruction and valence fluctuations in an Anderson model
• 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
• Quantum phase transition in a two-dimensional Kondo-Heisenberg model: a Schwinger-boson large-N approach
• Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
• Long-range entanglement near a Kondo-destruction quantum critical point
• Pairing Correlations Near a Kondo-Destruction Quantum Critical Point
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Quantum Chaos of the Bose-Fermi Kondo model at the intermediate temperature
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• Transport properties for a quantum dot coupled to normal leads with pseudogap
• Critical local moment fluctuations and enhanced pairing correlations in a cluster Anderson model
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
• Non-linear quantum critical dynamics and fluctuation-dissipation ratios far from equilibrium
• Emergent soft-gap Anderson models at quantum criticality in a lattice Hamiltonian within dynamical mean field theory
• Quantum criticality of the two-channel pseudogap Anderson model: Universal scaling in linear and non-linear conductance
• Phase diagram of a pseudogap Anderson model with application to graphene
• Power-Law Spectra and Asymptotic $\omega /T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
• Universal Mott quantum criticality in a modified periodic Anderson model