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Study of Dynamics in Spin-1/2 Chain Using Adaptive Time-Dependent Density-Matrix Renormalization-Group Method

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Abstract

A numerical method of the adaptive time-dependent density-matrix renormalization-group (t-DMRG) is introduced to calculated one-dimensional quantum spin systems with next-nearest-neighbor interaction. The algorithm to study the local magnetization in spin-1/2 Heisenberg XX chain is checked. The analysis of error indicates that this method is efficient to study the spin-1/2 chain with next-nearest-neighbor interaction. By using of the method, the effects of the next-nearest-neighbor interaction on the dynamics of the local magnetization and entanglement entropy are studied.

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Acknowledgements

The financial supports from the National Natural Science Foundation of China (Grant Nos. 11074184 and 11104021) are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Physics and Jiangsu Laboratory of Advanced Functional Material, Changshu Institute of Technology, Changshu, 215500, P.R. China

    Jie Ren & Yinzhong Wu

  2. School of Physical Science and Technology, Soochow University, Suzhou, Jiangsu, 215006, P.R. China

    Shiqun Zhu

Authors
  1. Jie Ren
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  2. Yinzhong Wu
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  3. Shiqun Zhu
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Correspondence to Jie Ren.

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Ren, J., Wu, Y. & Zhu, S. Study of Dynamics in Spin-1/2 Chain Using Adaptive Time-Dependent Density-Matrix Renormalization-Group Method. Int J Theor Phys 52, 3167–3175 (2013). https://doi.org/10.1007/s10773-013-1610-7

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  • DOI: https://doi.org/10.1007/s10773-013-1610-7

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