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

Journal Article · Tue Jun 15 04:00:00 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, Journal Name: Physical Review. A Journal Issue: 6 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
DENSITY MATRIX
ENERGY LEVELS
ENTROPY
GROUND STATES
HEISENBERG MODEL
INFORMATION
MATHEMATICAL MODELS
MATRICES
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS
RENORMALIZATION
THERMODYNAMIC PROPERTIES