Thermal entanglement in the anisotropic Heisenberg model with Dzyaloshinskii-Moriya interaction in an inhomogeneous magnetic field |
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Authors: | E Albayrak |
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Institution: | (1) School of Mathematics and Information, Hebei Normal University, Shijiazhuang, 050016, China;(2) Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117542, Singapore |
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Abstract: | The thermal entanglement of a two-qubit anisotropic Heisenberg XXZ
chain with Dzyaloshinskii-Moriya (DM) interaction in an
inhomogeneous magnetic field was studied in detail. The effects of
the DM parameter, external magnetic field (B), a parameter b
which controls the inhomogeneity of B and the bilinear
interaction parameters Jx = Jy ≠ Jz (the anisotropic case) on
the concurrence (C) was formulated and studied in detail. The
behaviors of the concurrences for the cases between (J = Jz = 1) and
(J = -1,Jz = 1) and, (J = Jz = -1) and (J = 1,Jz = -1) at the ground
state and at the thermal equilibrium are exactly the same. It was
found that for the antiferromagnetic (AFM) case the entanglements
persist to higher temperatures in comparison with the ferromagnetic
(FM) case. In addition, the AFM case presents a special point at
which the nonzero concurrences are all equal at some special
temperatures. The further properties will be given in the text. |
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Keywords: | |
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