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Entanglement and quantum phase transition in a mixed-spin Heisenberg chain with single-ion anisotropy

Author

Listed:
  • Solano-Carrillo, E.
  • Franco, R.
  • Silva-Valencia, J.

Abstract

We study the ground-state and thermal entanglement in the mixed-spin (S,s)=(1,1/2) Heisenberg chain with single-ion anisotropy D using exact diagonalization of small clusters. In this system, a quantum phase transition is revealed to occur at the value D=0, which is the bifurcation point for the global ground state; that is, when the single-ion anisotropy energy is positive, the ground state is unique, whereas when it is negative, the ground state becomes doubly degenerate and the system has the ferrimagnetic long-range order. Using the negativity as a measure of entanglement, we find that a pronounced dip in this quantity, taking place just at the bifurcation point, serves to signal the quantum phase transition. Moreover, we show that the single-ion anisotropy helps to improve the characteristic temperatures above which the quantum behavior disappears.

Suggested Citation

  • Solano-Carrillo, E. & Franco, R. & Silva-Valencia, J., 2011. "Entanglement and quantum phase transition in a mixed-spin Heisenberg chain with single-ion anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2208-2214.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:11:p:2208-2214
    DOI: 10.1016/j.physa.2011.01.013
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    Cited by:

    1. Xu, Yu-Liang & Kong, Xiang-Mu & Liu, Zhong-Qiang & Wang, Chun-Yang, 2016. "Quantum entanglement and quantum phase transition for the Ising model on a two-dimension square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 446(C), pages 217-223.
    2. Joyia, Wajid & Khan, Salman & Khan, Khalid & Khan, Mahtab Ahmad, 2022. "Exploring the Koch fractal lattice with quantum renormalization group method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).

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