Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model

Abstract

We address the quantum transition of a spin-1/2 antiferromagnetic Kondo lattice model with an easy-axis anisotropy using the extended dynamical mean field theory. We derive results in real frequency using the bosonic numerical renormalization group (bNRG) method and compare them with Quantum Monte Carlo results in Matsubara frequency. The bNRG results show a logarithmic divergence in the critical local spin susceptibility, signaling a destruction of Kondo screening. The T=0 transition is consistent with being second order. The bNRG results also display some subtle features; we identify their origin and suggest means for further microscopic studies.

4 pages, 3 embedded eps figures. Published version

References in corpus (26)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• "Deconfined" quantum critical points
• Locally critical quantum phase transitions in strongly correlated metals
• Onset of antiferromagnetism in heavy fermion metals
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hall-effect evolution across a heavy-fermion quantum critical point
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Divergence of the Grueneisen Ratio at Quantum Critical Points in Heavy Fermion Metals
• Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model
• Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
• Spatial Correlations in Dynamical Mean Field Theory
• Local fluctuations in quantum critical metals
• Locally critical point in an anisotropic Kondo lattice
• Continuous quantum phase transition in a Kondo lattice model
• Numerical renormalization-group study of the Bose-Fermi Kondo model
• Extended Dynamical Mean Field Theory Study of the Periodic Anderson Model
• Fractionalization and Fermi surface volume in heavy fermion compounds: the case of YbRh${}_2$ Si${}_2$
• Pseudogaps in the t-J model: Extended DMFT study
• Weak first-order superfluid--solid quantum phase transitions
• Schwinger Boson approach to the fully screened Kondo model
• Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
• Magnetic quantum phase transition in an anisotropic Kondo lattice
• Magnetic Quantum Phase Transitions in Kondo Lattices
• Consequences of the local spin self-energy approximation on the heavy Fermion quantum phase transition
• A large-N analysis of the local quantum critical point and the spin-liquid phase

Cited by in corpus (28)

• The numerical renormalization group method for quantum impurity systems
• Quantum Criticality in Heavy Fermion Metals
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
• Heavy-electron quantum criticality and single-particle spectroscopy
• Quantum Criticality and Global Phase Diagram of Magnetic Heavy Fermions
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Kondo Destruction and Quantum Criticality in Kondo Lattice Systems
• Cellular Dynamical Mean Field Theory of the Periodic Anderson Model
• Magnetic quantum phase transition in an anisotropic Kondo lattice
• Pressure-driven 4$f$ localized-itinerant crossover in heavy fermion compound CeIn${}_3$: A first-principles many-body perspective
• Quantum phase transition in a two-dimensional Kondo-Heisenberg model: a Schwinger-boson large-N approach
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Kondo Destruction in Heavy Fermion Quantum Criticality and the Photoemission Spectrum of YbRh${}_2$Si${}_2$
• Mottness scenario for non-Fermi liquid behavior in the periodic Anderson model within Dynamical Mean Field Theory
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Quantum critical metals and loss of quasiparticles
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
• Antiferromagnetic phase of the Kondo-insulator
• 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
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Impurity resonant state in d-wave superconductors: in favor of a Kondo-like response
• Local Quantum Criticality of a One-Dimensional Kondo Insulator Model
• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• One-dimensionality signature in optical conductivity of heavy-fermion CeIr${}_3$B${}_2$
• Critical Kondo destruction and the violation of the quantum-to-classical mapping of quantum criticality
• Magnetic Field Dependence of the Spin Fluctuations in CeCu${}_{5.8}$Ag${}_{0.2}$