Berezinskii-Kosterlitz-Thouless transition uncovered by the fidelity susceptibility in the XXZ model

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.064301· OSTI ID:21437972

Wang, Bo ^[1]; Feng, Mang; Chen, Ze-Qian ^[1]

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1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China)

We investigate the one-dimensional Heisenberg XXZ model involving the Dzyaloshinskii-Moriya (DM) interaction from the viewpoint of quantum information. By using the density-matrix-renormalization-group technique, we study the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using the ground-state fidelity, the fidelity susceptibility, and the entanglement entropy. We argue that the BKT phase transition can be well characterized in our model, and the critical line induced by the DM interaction can also be detected.

• OSTI ID: 21437972
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.064301; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
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HEISENBERG MODEL
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS
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ENERGY LEVELS
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MATRICES
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