scholarly journals Correlation functions of the XXZ Heisenberg spin- chain in a magnetic field

2000 ◽  
Vol 567 (3) ◽  
pp. 554-582 ◽  
Author(s):  
N. Kitanine ◽  
J.M. Maillet ◽  
V. Terras
Keyword(s):  
Magnetic Field ◽  
Correlation Functions ◽  
Spin Chain ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain

scholarly journals Analytical results on the Heisenberg spin chain in a magnetic field

2019 ◽  
Vol 52 (25) ◽  
pp. 255302 ◽  
Author(s):  
Etienne Granet ◽  
Jesper Lykke Jacobsen ◽  
Hubert Saleur
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain ◽  
Analytical Results

Quantum discord and quantum phase transition in the XXZ spin chain with three-site interaction

2016 ◽  
Vol 30 (34) ◽  
pp. 1650393 ◽  
Author(s):  
Jing Yang ◽  
Mei-Yan Cong ◽  
Yan-Xia Huang
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Spin Chain ◽  
Quantum Discord ◽  
Anisotropy Parameter ◽  
Cooperative Effect ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain ◽  
Maximum Value ◽  
Quantum Critical Phenomena

Pairwise quantum discord (QD) and entanglement of the three-qubit XXZ Heisenberg spin chain with two types of three-site interactions and an external magnetic field are investigated. Our study found that both entanglement and quantum discord could detect the quantum critical phenomena of this model. We were able to obtain a nonzero value of quantum discord even at high temperature with the increase of XZX[Formula: see text]YZY or XZY[Formula: see text]YZX three-site interaction, however, the cooperative effect of XZX[Formula: see text]YZY and XZY[Formula: see text]YZX interactions is more ideal. Furthermore, in contrast to XZY[Formula: see text]YZX and XZX[Formula: see text]YZY interactions, the cooperative effect of XZX[Formula: see text]YZY and XZY[Formula: see text]YZX three-site interactions is more efficient to enhance the maximum value of quantum discord. Likewise, the cooperative effect of XZX[Formula: see text]YZY and XZY[Formula: see text]YZX interactions is the most optimal to increase the range of magnetic field or anisotropy parameter where quantum discord maintains the maximum value.

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