Journal
PHYSICA B-CONDENSED MATTER
Volume 510, Issue -, Pages 7-12Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physb.2017.01.009
Keywords
Quantum coherence; Quantum phase transition; Dzyaloshinsky-Moriya interaction; Quantum renormalization-group approach
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Funding
- National Natural Science Foundation of Special Theoretical Physics [11447217]
- National Natural Science Foundation of China (NSFC) [11504140, 11504139]
- Natural Science Foundation of Jiangsu Province [BK20140128, BK20140167]
- Fundamental Research Funds for the Central Universities [JUSRP51517]
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We investigate the properties of geometric quantum coherence in the XY spin-1/ 2 chain with staggered Dzyaloshinsky-Moriya interaction via the quantum renormalization-group approach. It is shown that the geometric quantum coherence and its coherence susceptibility are effective to detect the quantum phase transition. In the thermodynamic limit, the geometric quantum coherence exhibits a sudden jump. The coherence susceptibilities versus the anisotropy parameter and the Dzyaloshinsky-Moriya interaction are infinite and vanishing, respectively, illustrating the distinct roles of the anisotropy parameter and the Dzyaloshinsky-Moriya interaction in quantum phase transition. Moreover, we also explore the finite-size scaling behaviors of the coherence susceptibilities. For a finite-size chain, the coherence susceptibility versus the phase-transition parameter is always maximal at the critical point, indicating the dramatic quantum fluctuation. Besides, we show that the correlation length can be revealed by the scaling exponent for the coherence susceptibility versus the Dzyaloshinsky-Moriya interaction.
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