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The effects of the Dzyaloshinskii-Moriya interaction on the ground-state properties of the XY chain in a transverse field |
| Zhong Ming (钟鸣)a, Xu Hui (徐卉)a, Liu Xiao-Xian (刘小贤)a, Tong Pei-Qing (童培庆)a b |
a Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China;
b Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, China |
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Abstract The effects of the Dzyaloshinski-Moriya (DM) interaction on the ground-state properties of the anisotropic XY chain in a transverse field have been studied by means of correlation functions and entanglement. Different from the case without the DM interaction, the excitation spectra εk of this model are not symmetrical in the momentum space and are not always positive. As a result, besides the ferromagnetic (FM) and the paramagnetic (PM) phases, a gapless chiral phase is induced. In the chiral phase, the von Neumann entropy is proportional to log2L (L is the length of a subchain) with the coefficient A≈1/3, which is the same as that of the XY chain in a transverse field without the DM interaction for γ=0 and 0<h ≤1. And in the vicinity of the critical point between the chiral phase and the FM (or PM) phase, the behaviors of the nearest-neighbor concurrence and its derivative are like those for the anisotropy transition.
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Received: 19 December 2012
Revised: 27 March 2013
Accepted manuscript online:
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PACS:
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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73.43.Nq
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(Quantum phase transitions)
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75.40.Cx
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(Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.))
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11205090 and 11175087) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 12KJB140008). |
Corresponding Authors:
Tong Pei-Qing
E-mail: pqtong@njnu.edu.cn
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Cite this article:
Zhong Ming (钟鸣), Xu Hui (徐卉), Liu Xiao-Xian (刘小贤), Tong Pei-Qing (童培庆) The effects of the Dzyaloshinskii-Moriya interaction on the ground-state properties of the XY chain in a transverse field 2013 Chin. Phys. B 22 090313
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