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Chin. Phys. B, 2024, Vol. 33(6): 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 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
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.
Keywords:  one-dimensional ferromagnetism      spin dynamics      magnon excitation      molecular dynamics  
Received:  24 January 2024      Revised:  04 April 2024      Accepted manuscript online:  09 April 2024
PACS:  75.10.Jm (Quantized spin models, including quantum spin frustration)  
  75.40.Gb (Dynamic properties?)  
  75.40.Mg (Numerical simulation studies)  
Fund: 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).
Corresponding Authors:  Rong Yu     E-mail:  rong.yu@ruc.edu.cn

Cite this article: 

Chengchen Li(李承晨), Yi Cui(崔祎), Weiqiang Yu(于伟强), and Rong Yu(俞榕) Semiclassical approach to spin dynamics of a ferromagnetic S=1 chain 2024 Chin. Phys. B 33 067501

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