Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field

Abstract

We have investigated the zero and finite temperature behaviors of the anisotropic antiferromagnetic Heisenberg XXZ spin-1/2 chain in the presence of a transverse magnetic field (h). The attention is concentrated on an interval of magnetic field between the factorizing field (h_f) and the critical one (h_c). The model presents a spin-flop phase for 0<h<h_f with an energy scale which is defined by the long range antiferromagnetic order while it undergoes an entanglement phase transition at h=h_f. The entanglement estimators clearly show that the entanglement is lost exactly at h=h_f which justifies different quantum correlations on both sides of the factorizing field. As a consequence of zero entanglement (at h=h_f) the ground state is known exactly as a product of single particle states which is the starting point for initiating a spin wave theory. The linear spin wave theory is implemented to obtain the specific heat and thermal entanglement of the model in the interested region. A double peak structure is found in the specific heat around h=h_f which manifests the existence of two energy scales in the system as a result of two competing orders before the critical point. These results are confirmed by the low temperature Lanczos data which we have computed.

Will be published in JPCM (2010), 7 figures

References in corpus (8)

• Studying quantum spin systems through entanglement estimators
• Theory of ground state factorization in quantum cooperative systems
• Separability and ground state factorization in quantum spin systems
• Quantum renormalization group of XYZ model in a transverse magnetic field
• Low Temperature Lanczos Method
• The gap exponent of XXZ model in a transverse field
• Factorized ground state for a general class of ferrimagnets
• Thermodynamic Properties of XXZ model in a Transverse Field

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• Anisotropic bulk and planar Heisenberg ferromagnets in uniform, arbitrarily oriented magnetic fields
• Magnons in a two dimensional transverse field XXZ model
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• Phase diagram of the XXZ ferrimagnetic spin-(1/2, 1) chain in the presence of transverse magnetic field