Chiral magnetism: a geometric perspective
We discuss a geometric perspective on chiral ferromagnetism. Much like gravity becomes the effect of spacetime curvature in theory of relativity, the Dzyaloshinski-Moriya interaction arises in a Heisenberg model with nontrivial spin parallel transport. The Dzyaloshinskii-Moriya vectors serve as a...
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| Format: | Article |
| Language: | English |
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SciPost
2021-03-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.10.3.078 |
| _version_ | 1818327100895002624 |
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| author | Daniel Hill, Valeriy Slastikov, Oleg Tchernyshyov |
| author_facet | Daniel Hill, Valeriy Slastikov, Oleg Tchernyshyov |
| author_sort | Daniel Hill, Valeriy Slastikov, Oleg Tchernyshyov |
| collection | DOAJ |
| description | We discuss a geometric perspective on chiral ferromagnetism. Much like
gravity becomes the effect of spacetime curvature in theory of relativity, the
Dzyaloshinski-Moriya interaction arises in a Heisenberg model with nontrivial
spin parallel transport. The Dzyaloshinskii-Moriya vectors serve as a
background SO(3) gauge field. In 2 spatial dimensions, the model is partly
solvable when an applied magnetic field matches the gauge curvature. At this
special point, solutions to the Bogomolny equation are exact excited states of
the model. We construct a variational ground state in the form of a skyrmion
crystal and confirm its viability by Monte Carlo simulations. The geometric
perspective offers insights into important problems in magnetism, e.g.,
conservation of spin current in the presence of chiral interactions. |
| first_indexed | 2024-12-13T12:10:54Z |
| format | Article |
| id | doaj.art-e62d3200040c4b53b2cd970e68b7d84f |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-13T12:10:54Z |
| publishDate | 2021-03-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-e62d3200040c4b53b2cd970e68b7d84f2022-12-21T23:46:50ZengSciPostSciPost Physics2542-46532021-03-0110307810.21468/SciPostPhys.10.3.078Chiral magnetism: a geometric perspectiveDaniel Hill, Valeriy Slastikov, Oleg TchernyshyovWe discuss a geometric perspective on chiral ferromagnetism. Much like gravity becomes the effect of spacetime curvature in theory of relativity, the Dzyaloshinski-Moriya interaction arises in a Heisenberg model with nontrivial spin parallel transport. The Dzyaloshinskii-Moriya vectors serve as a background SO(3) gauge field. In 2 spatial dimensions, the model is partly solvable when an applied magnetic field matches the gauge curvature. At this special point, solutions to the Bogomolny equation are exact excited states of the model. We construct a variational ground state in the form of a skyrmion crystal and confirm its viability by Monte Carlo simulations. The geometric perspective offers insights into important problems in magnetism, e.g., conservation of spin current in the presence of chiral interactions.https://scipost.org/SciPostPhys.10.3.078 |
| spellingShingle | Daniel Hill, Valeriy Slastikov, Oleg Tchernyshyov Chiral magnetism: a geometric perspective SciPost Physics |
| title | Chiral magnetism: a geometric perspective |
| title_full | Chiral magnetism: a geometric perspective |
| title_fullStr | Chiral magnetism: a geometric perspective |
| title_full_unstemmed | Chiral magnetism: a geometric perspective |
| title_short | Chiral magnetism: a geometric perspective |
| title_sort | chiral magnetism a geometric perspective |
| url | https://scipost.org/SciPostPhys.10.3.078 |
| work_keys_str_mv | AT danielhillvaleriyslastikovolegtchernyshyov chiralmagnetismageometricperspective |