Ross, C;
Sakai, N;
Nitta, M;
(2021)
Exact ground states and domain walls in one dimensional chiral magnets.
Journal of High Energy Physics
, 2021
, Article 163. 10.1007/JHEP12(2021)163.
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Abstract
We determine exactly the phase structure of a chiral magnet in one spatial dimension with the Dzyaloshinskii-Moriya (DM) interaction and a potential that is a function of the third component of the magnetization vector, n3, with a Zeeman (linear with the coefficient B) term and an anisotropy (quadratic with the coefficient A) term, constrained so that 2A ≤ |B|. For large values of potential parameters A and B, the system is in one of the ferromagnetic phases, whereas it is in the spiral phase for small values. In the spiral phase we find a continuum of spiral solutions, which are one-dimensionally modulated solutions with various periods. The ground state is determined as the spiral solution with the lowest average energy density. As the phase boundary approaches, the period of the lowest energy spiral solution diverges, and the spiral solutions become domain wall solutions with zero energy at the boundary. The energy of the domain wall solutions is positive in the homogeneous phase region, but is negative in the spiral phase region, signaling the instability of the homogeneous (ferromagnetic) state. The order of the phase transition between spiral and homogeneous phases and between polarized (n3 = ±1) and canted (n3 ≠ ±1) ferromagnetic phases is found to be second order.
| Type: | Article |
|---|---|
| Title: | Exact ground states and domain walls in one dimensional chiral magnets |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/JHEP12(2021)163 |
| Publisher version: | https://doi.org/10.1007/JHEP12(2021)163 |
| Language: | English |
| Additional information: | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) (http://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
| Keywords: | Integrable Field Theories, Solitons Monopoles and Instantons |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10141264 |
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