2014
DOI: 10.1209/0295-5075/108/50007
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Pairwise thermal entanglement in the Ising-XYZ diamond chain structure in an external magnetic field

Abstract: Quantum entanglement is one of the most fascinating types of correlation that can be shared only among quantum systems. The Heisenberg chain is one of the simplest quantum chains which exhibits a reach entanglement feature, due to the Heisenberg interaction is quantum coupling in the spin system. The two particles were coupled trough XYZ coupling or simply called as two-qubit XYZ spin, which are the responsible for the emergence of thermal entanglement. These two-qubit operators are bonded to two nodal Ising s… Show more

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Cited by 62 publications
(91 citation statements)
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“…Most onedimensional models with short-range interaction have been extensively investigated in the last decade [11][12][13][14][15][16][17], whose transfer matrix have the following structure T = w 0 w 1 w 1 w 2 . Obviously, the corresponding eigenvalues are…”
Section: A Quasi-phases and Pseudo-transitionsmentioning
confidence: 99%
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“…Most onedimensional models with short-range interaction have been extensively investigated in the last decade [11][12][13][14][15][16][17], whose transfer matrix have the following structure T = w 0 w 1 w 1 w 2 . Obviously, the corresponding eigenvalues are…”
Section: A Quasi-phases and Pseudo-transitionsmentioning
confidence: 99%
“…In addition, Honecker et al [10] investigated the thermodynamic properties of the Heisenberg model in a diamond chain structure. Furthermore, in the last decade, the thermodynamics of the Ising-Heisenberg model in diamond chains has also been widely discussed in references [11][12][13][14].Lately, several one-dimensional models have been investigated in the framework of decorated structures, particularly Ising and Heisenberg models with a variety of structures, such as the Ising-Heisenberg models in diamond chain structure [15,16] as shown in fig.1a, one-dimensional double-tetrahedral chain (see fig.1b Heisenberg spin Ising spinLattice sites for mobile electrons The analysis of the first derivative of the thermodynamic potential, such as entropy, internal energy, magnetization shows a significant jump as a function of temperature, maintaining a close similarity with the first order phase transition. Similarly, a second order derivative of potential thermodynamics, such as specific heat and magnetic susceptibility, resembles a typical second order phase transition at finite temperature.…”
mentioning
confidence: 99%
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“…In spite of a certain over-simplification, the generalized version of the spin-1/2 Ising-Heisenberg diamond chain qualitatively reproduces magnetization, specific heat and susceptibility data reported on the azurite Cu 3 (CO 3 ) 2 (OH) 2 , which represents the most prominent experimental realization of the spin-1/2 diamond chain [3,4,5,6]. A lot of attention has been therefore paid to a comprehensive analysis of quantum and thermal entanglement [7,8,9,10,11], correlation functions [12], Lyapunov exponent [13], zeros of partition function [14], magnetocaloric effect [15], the influence of asymmetric [16,17], further-neighbor [18] and four-spin interactions [19,20].…”
Section: Introductionmentioning
confidence: 80%