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Journal of Henan Normal University

A Study of the XXZ Antiferromagnetic Double Chain in the External Magnetic Field

Jia Li

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The XXZ antiferromagnetic model(spin-1/2)in a transverse field on a double chain with a uniform long-range interactions among the z components of the spins is studied using the the Jordan-Wigner transformation and cut-off approximation.The thermodynamic quantities results like Helmholtz free energy,the internal energy,the magnetization,the specific heat ity are obtained both analytically and numerically.The results in the degenerate condition agree with that from other literatures.

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The XXZ antiferromagnetic model(spin-1/2)in a transverse field on a double chain with a uniform long-range interactions among the z components of the spins is studied using the the Jordan-Wigner transformation and cut-off approximation.The thermodynamic quantities results like Helmholtz free energy,the internal energy,the magnetization,the specific heat ity are obtained both analytically and numerically.The results in the degenerate condition agree with that from other literatures.
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The one-dimensional spin-1/2 Heisenberg XXZ ferromagnetic chain with uniform long-range interactions among the z components of the spins in the transverse field was studied by using the mean-field Jordan-Wigner transformation.The analytic expressions and the numerical results of the thermodynamic quantities,including the Helmholtz free energy,internal energy,specific heat,magnetization and isothermal susceptibility,were obtained.We also discussed the phase transitions of the system at a finite temperature.Our results agreed with that from other literatures in the degenerate condition.