中国物理B ›› 2024, Vol. 33 ›› Issue (6): 67501-067501.doi: 10.1088/1674-1056/ad3c32

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Semiclassical approach to spin dynamics of a ferromagnetic S=1 chain

Chengchen Li(李承晨)1, Yi Cui(崔祎)1,2, Weiqiang Yu(于伟强)1,2, and Rong Yu(俞榕)1,2,†   

  1. 1 Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China;
    2 Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, China
  • 收稿日期:2024-01-24 修回日期:2024-04-04 接受日期:2024-04-09 出版日期:2024-06-18 发布日期:2024-06-18
  • 通讯作者: Rong Yu E-mail:rong.yu@ruc.edu.cn
  • 基金资助:
    Project supported by the National Key R&D Program of China (Grant No. 2023YFA1406500) and the National Natural Science Foundation of China (Grant Nos. 12334008, 12174441, 12134020, and 12374156).

Semiclassical approach to spin dynamics of a ferromagnetic S=1 chain

Chengchen Li(李承晨)1, Yi Cui(崔祎)1,2, Weiqiang Yu(于伟强)1,2, and Rong Yu(俞榕)1,2,†   

  1. 1 Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China;
    2 Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, China
  • Received:2024-01-24 Revised:2024-04-04 Accepted:2024-04-09 Online:2024-06-18 Published:2024-06-18
  • Contact: Rong Yu E-mail:rong.yu@ruc.edu.cn
  • Supported by:
    Project supported by the National Key R&D Program of China (Grant No. 2023YFA1406500) and the National Natural Science Foundation of China (Grant Nos. 12334008, 12174441, 12134020, and 12374156).

摘要: Motivated by recent experimental progress on the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an $S=1$ ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics approach. This system undergoes a quantum phase transition from a ferromagnetic to a paramagnetic state under a transverse magnetic field, and the magnetic response reflecting this transition is well described by our semiclassical method. We show that at low temperature the transverse component of the dynamical structure factor depicts clearly the magnon dispersion, and the longitudinal component exhibits two continua associated with single- and two-magnon excitations, respectively. These spin excitation spectra show interesting temperature dependence as effects of magnon interactions. Our findings shed light on the experimental detection of spin excitations in a large class of quasi-one-dimensional magnets.

关键词: one-dimensional ferromagnetism, spin dynamics, magnon excitation, molecular dynamics

Abstract: Motivated by recent experimental progress on the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an $S=1$ ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics approach. This system undergoes a quantum phase transition from a ferromagnetic to a paramagnetic state under a transverse magnetic field, and the magnetic response reflecting this transition is well described by our semiclassical method. We show that at low temperature the transverse component of the dynamical structure factor depicts clearly the magnon dispersion, and the longitudinal component exhibits two continua associated with single- and two-magnon excitations, respectively. These spin excitation spectra show interesting temperature dependence as effects of magnon interactions. Our findings shed light on the experimental detection of spin excitations in a large class of quasi-one-dimensional magnets.

Key words: one-dimensional ferromagnetism, spin dynamics, magnon excitation, molecular dynamics

中图分类号:  (Quantized spin models, including quantum spin frustration)

  • 75.10.Jm
75.40.Gb (Dynamic properties?) 75.40.Mg (Numerical simulation studies)