IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v585y2022ics0378437121006579.html
   My bibliography  Save this article

Tricritical behavior of the spin-3/2 anisotropic Heisenberg model with Dzyaloshinskii–Moriya interaction

Author

Listed:
  • Silva, Joeliton B.
  • de Albuquerque, Douglas F.

Abstract

The spin-3/2 anisotropic Heisenberg model with Dzyaloshinskii–Moriya interaction is studied by using the framework of the two-spin cluster approximation. The formalism is developed for lattices with general coordination number. However, we address our attention to the simple cubic lattice (q=6). The phase diagram of the system reveals the presence of tricritical points and the first and second-order phase transitions are obtained. The critical behavior is discussed and compared with the spin-1/2 and spin-1 Heisenberg systems.

Suggested Citation

  • Silva, Joeliton B. & de Albuquerque, Douglas F., 2022. "Tricritical behavior of the spin-3/2 anisotropic Heisenberg model with Dzyaloshinskii–Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121006579
    DOI: 10.1016/j.physa.2021.126384
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121006579
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126384?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Sha-Sha & Ren, Ting-Qi & Kong, Xiang-Mu & Liu, Kai, 2012. "Thermal entanglement in the Heisenberg XXZ model with Dzyaloshinskii–Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 35-41.
    2. E. Albayrak, 2009. "Thermal entanglement in the anisotropic Heisenberg model with Dzyaloshinskii-Moriya interaction in an inhomogeneous magnetic field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(4), pages 491-496, December.
    3. U. K. Rößler & A. N. Bogdanov & C. Pfleiderer, 2006. "Spontaneous skyrmion ground states in magnetic metals," Nature, Nature, vol. 442(7104), pages 797-801, August.
    4. Sun, Guang-Hou & Kong, Xiang-Mu, 2006. "Phase diagram and tricritical behavior of the spin-1 Heisenberg model with Dzyaloshinskii–Moriya interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 585-590.
    5. Kaneyoshi, T. & Tucker, J.W. & Jaščur, M., 1992. "Differential operator technique for higher spin problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 495-512.
    6. Huamin Zhang & Feng Ding, 2013. "On the Kronecker Products and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, June.
    7. Sousa, J.Ricardo de & Lacerda, F. & Fittipaldi, I.P., 1998. "Thermodynamic properties of the anisotropic Heisenberg model with Dzyaloshinsky–Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(1), pages 221-229.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shi, Xiaoling & Qi, Yang, 2015. "Existence of a dynamic compensation temperature of the mixed spin-1 and spin-3/2 Ising model within the effective-field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 93-100.
    2. Satoru Hayami & Tsuyoshi Okubo & Yukitoshi Motome, 2021. "Phase shift in skyrmion crystals," Nature Communications, Nature, vol. 12(1), pages 1-6, December.
    3. Si, Nan & Su, Xin & Meng, Jing & Miao, Hai-Ling & Zhang, Yan-Li & Jiang, Wei, 2020. "Magnetic properties of decorated 2D kagome-like lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    4. Imara Lima Fernandes & Stefan Blügel & Samir Lounis, 2022. "Spin-orbit enabled all-electrical readout of chiral spin-textures," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    5. Deepak Singh & Yukako Fujishiro & Satoru Hayami & Samuel H. Moody & Takuya Nomoto & Priya R. Baral & Victor Ukleev & Robert Cubitt & Nina-Juliane Steinke & Dariusz J. Gawryluk & Ekaterina Pomjakushina, 2023. "Transition between distinct hybrid skyrmion textures through their hexagonal-to-square crystal transformation in a polar magnet," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    6. Alexander Dudin & Sergey Dudin & Rosanna Manzo & Luigi Rarità, 2022. "Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials," Mathematics, MDPI, vol. 10(20), pages 1-19, October.
    7. Schmidt, M. & Dias, P.F., 2021. "Correlated cluster mean-field theory for Ising-like spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    8. Si, Nan & Guan, Yin-Yan & Gao, Wei-Chun & Guo, An-Bang & Zhang, Yan-Li & Jiang, Wei, 2022. "Ferrimagnetism and reentrant behavior in a coronene-like superlattice with double-layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    9. Amal Aldarawsheh & Imara Lima Fernandes & Sascha Brinker & Moritz Sallermann & Muayad Abusaa & Stefan Blügel & Samir Lounis, 2022. "Emergence of zero-field non-synthetic single and interchained antiferromagnetic skyrmions in thin films," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    10. Takaaki Dohi & Markus Weißenhofer & Nico Kerber & Fabian Kammerbauer & Yuqing Ge & Klaus Raab & Jakub Zázvorka & Maria-Andromachi Syskaki & Aga Shahee & Moritz Ruhwedel & Tobias Böttcher & Philipp Pir, 2023. "Enhanced thermally-activated skyrmion diffusion with tunable effective gyrotropic force," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    11. Antonio Dalessandro & Gareth W. Peters, 2018. "Tensor Approximation of Generalized Correlated Diffusions and Functional Copula Operators," Methodology and Computing in Applied Probability, Springer, vol. 20(1), pages 237-271, March.
    12. Wang, Bao & Lu, Xiao-Hu & Jia, Xiao & Xiong, Hao, 2023. "Coherent stimulated amplification of the skyrmion breathing," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    13. Srinivas R. Chakravarthy & Alexander N. Dudin & Sergey A. Dudin & Olga S. Dudina, 2023. "Queueing System with Potential for Recruiting Secondary Servers," Mathematics, MDPI, vol. 11(3), pages 1-24, January.
    14. Arnon Ploymukda & Pattrawut Chansangiam, 2016. "Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces," Journal of Mathematics, Hindawi, vol. 2016, pages 1-7, November.
    15. Jidan Yang & Yu Zou & Wentao Tang & Jinxing Li & Mingjun Huang & Satoshi Aya, 2022. "Spontaneous electric-polarization topology in confined ferroelectric nematics," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    16. Wang, Kai & Yin, Peng & Zhang, Yanli & Jiang, Wei, 2018. "Phase diagram and magnetization of a graphene nanoisland structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 268-279.
    17. Frederic Rendell-Bhatti & Raymond J. Lamb & Johannes W. Jagt & Gary W. Paterson & Henk J. M. Swagten & Damien McGrouther, 2020. "Spontaneous creation and annihilation dynamics and strain-limited stability of magnetic skyrmions," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    18. Rina Takagi & Naofumi Matsuyama & Victor Ukleev & Le Yu & Jonathan S. White & Sonia Francoual & José R. L. Mardegan & Satoru Hayami & Hiraku Saito & Koji Kaneko & Kazuki Ohishi & Yoshichika Ōnuki & Ta, 2022. "Square and rhombic lattices of magnetic skyrmions in a centrosymmetric binary compound," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    19. Lu, Zhao-Ming & Si, Nan & Wang, Ya-Ning & Zhang, Fan & Meng, Jing & Miao, Hai-Ling & Jiang, Wei, 2019. "Unique magnetism in different sizes of center decorated tetragonal nanoparticles with the anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 438-456.
    20. Yüksel, Yusuf & Akıncı, Ümit & Vatansever, Erol, 2022. "Metamagnetic anomalies in the kinetic Blume–Capel model with arbitrary spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121006579. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.