Acta Physica Sinica, Volume. 69, Issue 9, 090302-1(2020)

Quantum phase transition and topological order scaling in spin-1 bond-alternating Heisenberg model with Dzyaloshinskii-Moriya interaction

Ai-Min Chen1、*, Dong-Chang Liu1, Jia Duan1, Hong-Lei Wang2, Chun-Huan Xiang3, and Yao-Heng Su1
Author Affiliations
  • 1School of Science, Xi’an Polytechnic University, Xi’an 710048, China
  • 2College of Medical Informatics, Chongqing Medical University, Chongqing 400016, China
  • 3School of Public Health and Management, Chongqing Medical University, Chongqing 400016, China
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    Figures & Tables(8)
    (a) Odd-bond von Neumann entropy and (b) even-bond von Neumann entropy as a function of for D = 0.5 and D = 1.
    Dimer order parameter as a function of for (a) D = 0.5 and (b) D = 1 (first derivation of in the insert).
    Dimer order parameter as a function of DM interaction D for .
    Non-local topological string order parameter as a function of .
    Phase diagram of spin-1 bond-alternating Heisenberg model with DM interaction.
    Characteristic critical exponent from the first derivative of the dimer order for (a) D = 0, (b) D = 0.5, and (c) D = 1 in the vicinity of the critical points , , and , respectively.
    Characteristic critical exponent from the nonlocal topological string orderfor (a) D = 0.5 and (b) D = 1 in the vicinity of the critical points and , respectively.
    • Table 1. Characteristic critical exponent β for different DM interactions

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      Table 1. Characteristic critical exponent β for different DM interactions

      D
      00.10.20.30.40.50.60.70.80.91.0
      $\beta $0.0820.0870.0920.0980.0990.1010.1060.1090.1150.1170.121
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    Ai-Min Chen, Dong-Chang Liu, Jia Duan, Hong-Lei Wang, Chun-Huan Xiang, Yao-Heng Su. Quantum phase transition and topological order scaling in spin-1 bond-alternating Heisenberg model with Dzyaloshinskii-Moriya interaction[J]. Acta Physica Sinica, 2020, 69(9): 090302-1

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    Paper Information

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    Received: Nov. 21, 2019

    Accepted: --

    Published Online: Nov. 26, 2020

    The Author Email:

    DOI:10.7498/aps.69.20191773

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