Thermal entanglement of a spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain

被引:74
作者
Ananikian, N. S. [1 ,2 ]
Ananikyan, L. N. [1 ]
Chakhmakhchyan, L. A. [1 ,3 ,4 ]
Rojas, Onofre [2 ]
机构
[1] AI Alikhanyan Natl Sci Lab, Yerevan 0036, Armenia
[2] Univ Fed Lavras, Dept Ciencias Exatas, BR-37200000 Lavras, MG, Brazil
[3] Inst Phys Res, Ashtarak 0203 2, Armenia
[4] Univ Bourgogne, CNRS, UMR 6303, Lab Interdisciplinaire Carnot Bourgogne, F-21078 Dijon, France
关键词
CRYPTOGRAPHY; FRUSTRATION; STATES;
D O I
10.1088/0953-8984/24/25/256001
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The entanglement quantum properties of a spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain were analyzed. Due to the separable nature of the Ising-type exchange interactions between neighboring Heisenberg dimers, calculation of the entanglement can be performed exactly for each individual dimer. Pairwise thermal entanglement was studied in terms of the isotropic Ising-Heisenberg model and analytical expressions for the concurrence (as a measure of bipartite entanglement) were obtained. The effects of external magnetic field H and next-nearest neighbor interaction J(m) between nodal Ising sites were considered. The ground state structure and entanglement properties of the system were studied in a wide range of coupling constant values. Various regimes with different values of ground state entanglement were revealed, depending on the relation between competing interaction strengths. Finally, some novel effects, such as the two-peak behavior of concurrence versus temperature and coexistence of phases with different values of magnetic entanglement, were observed.
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页数:9
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共 69 条
[1]   Magnetic structure of azurite above the magnetization plateau at 1/3 of saturation [J].
Aimo, F. ;
Kraemer, S. ;
Klanjsek, M. ;
Horvatic, M. ;
Berthier, C. .
PHYSICAL REVIEW B, 2011, 84 (01)
[2]   Entanglement entropy of two disjoint blocks in critical Ising models [J].
Alba, Vincenzo ;
Tagliacozzo, Luca ;
Calabrese, Pasquale .
PHYSICAL REVIEW B, 2010, 81 (06)
[3]   Entanglement in many-body systems [J].
Amico, Luigi ;
Fazio, Rosario ;
Osterloh, Andreas ;
Vedral, Vlatko .
REVIEWS OF MODERN PHYSICS, 2008, 80 (02) :517-576
[4]   Entanglement and magnetic order [J].
Amico, Luigi ;
Fazio, Rosario .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (50)
[5]  
Ananikian N, 2012, EUR PHYS J IN PRESS
[6]  
Ananikian N, 2012, PHYS ATOM N IN PRESS
[7]   Magnetic properties and thermal entanglement on a triangulated Kagome lattice [J].
Ananikian, N. S. ;
Ananikyan, L. N. ;
Chakhmakhchyan, L. A. ;
Kocharian, A. N. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (02)
[8]   Exactly solvable Ising-Heisenberg chain with triangular XXZ-Heisenberg plaquettes [J].
Antonosyan, Diana ;
Bellucci, Stefano ;
Ohanyan, Vadim .
PHYSICAL REVIEW B, 2009, 79 (01)
[9]   Natural thermal and magnetic entanglement in the 1D Heisenberg model [J].
Arnesen, MC ;
Bose, S ;
Vedral, V .
PHYSICAL REVIEW LETTERS, 2001, 87 (01)
[10]  
Benenti G., 2004, Principles of quantum computation and information-volume I: Basic concepts