Antiferromagnetic and spin gap phases of the anisotropic Kondo necklace model

Abstract

We have studied the effect of anisotropies on the quantum phase transition of the Kondo necklace model in dimensions D=1, 2 and 3. Both the anisotropy $\delta$ of the inter-site interaction term and anisotropy $\Delta$ of the on-site Kondo interaction have been included. We use a bond operator method with constraints implemented in mean field approximation. Starting from the paramagnetic phase we determine the critical ratio $(t/J{)}_c$ of the quantum critical point and associated scaling exponents of the Kondo-singlet gap. We show that in the case of easy-axis type anisotropy $\delta >1$ a qualitatively new behavior in comparison to the conventional Kondo necklace model with ($\delta$,$\Delta$)=(0,1) appears. We have also obtained the antiferromagnetic order parameter in the long range ordered phase for $t>t_c$.

arXiv comment12 pages and 9 figures, to appear in PRB

References in corpus (5)

• Quantum phase transitions
• Kondo spin liquid and magnetically long-range ordered states in the Kondo necklace model
• The Kondo lattice model with correlated conduction electrons
• Phase diagram and critical properties of the frustrated Kondo necklace model in a magnetic field
• The effect of uniaxial pressure on the magnetic anomalies of the heavy-fermion metamagnet CeRu2Si2

Cited by in corpus (12)

• Magnetism and thermodynamics of spin-(1/2,1) decorated Heisenberg chain with spin-1 pendants
• Green's function approach to quantum criticality in the anisotropic Kondo-necklace model
• A Luttinger Liquid Coupled to a Quantum Spin Bath: Flow Equation Approach to the Kondo Necklace Model
• Phase diagram of the one dimensional anisotropic Kondo-necklace model
• Thermodynamic quantum crtical behavior in the anisotropic Kondo necklace model
• Field induced quantum phase transition in the anisotropic Kondo necklace model
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Moment screening in the correlated Kondo lattice model
• Thermal conductivity of anisotropic spin - 1/2 two leg ladder:Green's function approach
• Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
• Concurrence of directional Kondo transport and incommensurate magnetic order in the layered material AgCrSe${}_2$
• Kondo spin liquid in Kondo necklace model: Classical disordered phase versus symmetry-protected topological state