Kondo spin liquid and magnetically long-range ordered states in the Kondo necklace model

Abstract

A simplified version of the symmetric Kondo lattice model, the Kondo necklace model, is studied by using a representation of impurity and conduction electron spins in terms of local Kondo singlet and triplet operators. Within a mean field theory, a spin gap always appears in the spin triplet excitation spectrum in 1D, leading to a Kondo spin liquid state for any finite values of coupling strength $t/J$ (with $t$ as hopping and $J$ as exchange); in 2D and 3D cubic lattices the spin gaps are found to vanish continuously around $(t/J{)}_c\approx 0.70$ and $(t/J{)}_c\approx 0.38$, respectively, where quantum phase transitions occur and the Kondo spin liquid state changes into an antiferromagnetically long-range ordered state. These results are in agreement with variational Monte Carlo, higher-order series expansion, and recent quantum Monte Carlo calculations for the symmetric Kondo lattice model

Revtex, four pages, three figures; to be published in Physical Review B1, 1 July (2000)

References in corpus (1)

• Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model

Cited by in corpus (25)

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• Antiferromagnetic and spin gap phases of the anisotropic Kondo necklace model
• Lifshitz transitions in a heavy-Fermion liquid driven by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• Entanglement in the One-dimensional Kondo Necklace Model
• D-wave superconductivity induced by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• A Luttinger Liquid Coupled to a Quantum Spin Bath: Flow Equation Approach to the Kondo Necklace Model
• Finite temperature properties of the two-dimensional SU(2) Kondo-necklace
• Phase diagram of the one dimensional anisotropic Kondo-necklace model
• Elastic response of [111]-tunneling impurities
• Thermodynamic quantum crtical behavior in the anisotropic Kondo necklace model
• Pairing symmetry of heavy fermion superconductivity in the two-dimensional Kondo-Heisenberg lattice model
• Field induced quantum phase transition in the anisotropic Kondo necklace model
• Phase diagram and critical properties of the frustrated Kondo necklace model in a magnetic field
• Half-filled Kondo lattice on the honeycomb lattice
• Moment screening in the correlated Kondo lattice model
• Magnetization cusp singularities of frustrated Kondo necklace model
• Frustrated quantum magnetism in the Kondo lattice on the zigzag ladder
• Phase diagram of the Kondo necklace: a mean-field renormalization group approach
• Griffiths phases in the strongly disordered Kondo necklace model
• Emergence of Kondo-assisted Néel order in a Kondo necklace model
• Kondo spin liquid in Kondo necklace model: Classical disordered phase versus symmetry-protected topological state
• Multiple Lifshitz transitions driven by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model