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Integrable-chaos crossover in the spin-1∕2 XXZ chain with cluster interaction

Author

Listed:
  • Moshfegh, S.
  • Ashouri, A.
  • Mahdavifar, S.
  • Vahedi, J.

Abstract

Recent progress in the field of quantum magnets has shown that a wide variety of novel spin model can be generated with exploiting the optical lattices. Among them the spin cluster interaction gets some attention. In this work, we have considered a spin-1∕2 XXZ Heisenberg chain with added cluster interaction. In the absence of the cluster interaction, the XXZ chain is solvable by Bethe ansatz. Introducing a small defect in the middle of chain drives the XXZ model to the chaotic phase not for strong anisotropic parameter. Using the numerical full diagonalization method, we have shown that in presence of a cluster interaction, how quantum chaos may develop even for strong Ising interaction region. In addition, the effect of the cluster length and strength on the crossover from the integrable to the chaotic regime is also addressed.

Suggested Citation

  • Moshfegh, S. & Ashouri, A. & Mahdavifar, S. & Vahedi, J., 2019. "Integrable-chaos crossover in the spin-1∕2 XXZ chain with cluster interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 502-508.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:502-508
    DOI: 10.1016/j.physa.2018.10.046
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    Cited by:

    1. Yu, Hui & Chen, LuYuan & Yao, JingTao & Wang, XingNan, 2019. "A three-way clustering method based on an improved DBSCAN algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Dong, Youheng & Zhao, Geng, 2021. "A spatiotemporal chaotic system based on pseudo-random coupled map lattices and elementary cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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