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Planar and local anisotropies in the Kondo necklace model
Author(s) -
MendozaArenas J. J.,
Franco R.,
SilvaValencia J.
Publication year - 2010
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200983013
Subject(s) - condensed matter physics , spins , density matrix renormalization group , physics , antiferromagnetism , anisotropy , spin (aerodynamics) , quantum phase transition , renormalization group , kondo effect , coupling (piping) , kondo model , quantum critical point , quantum mechanics , phase transition , thermal conduction , materials science , electrical resistivity and conductivity , metallurgy , thermodynamics
Using the density matrix renormalization group method, we study the one‐dimensional Kondo necklace model including two anisotropies: η in the XY interaction of the conduction chain, and Δ in the local Kondo coupling between localized and conduction spins. For different values of the anisotropies, we calculate the energy gap and estimate the quantum critical points in which a phase transition from antiferromagnetic to spin liquid states takes place, assuming a Kosterlitz–Thouless‐like behavior. For the case $\eta = 0$ , the system remains in a spin liquid state for the different Δ considered, but when $\eta \ne 0$ , Δ markedly affects the location of the critical points. We also calculate correlation functions for a specific case, in order to support our gap results.