Dzyaloshinskii–Moriya coupling on staggered magnetization in the sine–Gordon low-energy effective theory

• Published in: Journal of magnetism and magnetic materials Vol. 602; p. 172164
• Main Author: Lima, L.S.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15-07-2024
• Subjects: Sine–Gordon; Staggered magnetization; Sine–Gordon; Staggered magnetization
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2024.172164

In the present study, we investigate the effect of Dzyaloshinskii–Moriya interaction (DMI) on the spin-wave velocity, staggered magnetization, and magnetic susceptibility in the spin-1/2 one-dimensional Heisenberg model with uniform and staggered external magnetic field, using the mapping of the model on the sine–Gordon theory. Our results show that the spin-wave velocity increases monotonically with the strength of the DMI. This behavior has a large effect on the thermodynamic properties of the system, including the staggered magnetization and magnetic susceptibility. Specifically, we find that the staggered magnetization decreases with increasing of the DMI strength, while the behavior of the staggered magnetization increases with the strength of the staggered magnetic field. How the behavior of the spin-wave velocity also has a significant impact on quantum information properties such as quantum entanglement therefore, our findings have important implications for the understanding of the magnetic properties of materials, as well as for the development of quantum technologies based on spin systems.
•Boundary-state formalism is used to determine all quantitiers.•Two-particle Form Factors of soliton-antisoliton are calculated.•Behavior of the staggered magnetization with x is determined.