Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
We consider methods to identify the classical ground state for an exchange-coupled Heisenberg antiferromagnet on a non-Bravais lattice with interactions J[subscript ij] to several neighbor distances. Here, we apply this to the unusual “octahedral” lattice in which spins sit on the edge midpoints of...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88787 https://orcid.org/0000-0001-7954-2029 |
| _version_ | 1826198542913372160 |
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| author | Henley, Christopher L. Sklan, Sophia Robin |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Henley, Christopher L. Sklan, Sophia Robin |
| author_sort | Henley, Christopher L. |
| collection | MIT |
| description | We consider methods to identify the classical ground state for an exchange-coupled Heisenberg antiferromagnet on a non-Bravais lattice with interactions J[subscript ij] to several neighbor distances. Here, we apply this to the unusual “octahedral” lattice in which spins sit on the edge midpoints of a simple cubic lattice. Our approach is informed by the eigenvectors of J[subscript ij], taken as a matrix, having the largest eigenvalues. We discovered two families of noncoplanar states: (i) two kinds of commensurate states with cubic symmetry, each having twelve sublattices with spins pointing in (1,1,0) directions in spin space (modulo a global rotation) and (ii) varieties of incommensurate conic spiral. The latter family is addressed by projecting the three-dimensional lattice to a one-dimensional chain, with a basis of two (or more) sites per unit cell. |
| first_indexed | 2024-09-23T11:06:30Z |
| format | Article |
| id | mit-1721.1/88787 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:06:30Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887872022-09-27T17:10:07Z Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice Henley, Christopher L. Sklan, Sophia Robin Massachusetts Institute of Technology. Department of Physics Sklan, Sophia Robin We consider methods to identify the classical ground state for an exchange-coupled Heisenberg antiferromagnet on a non-Bravais lattice with interactions J[subscript ij] to several neighbor distances. Here, we apply this to the unusual “octahedral” lattice in which spins sit on the edge midpoints of a simple cubic lattice. Our approach is informed by the eigenvectors of J[subscript ij], taken as a matrix, having the largest eigenvalues. We discovered two families of noncoplanar states: (i) two kinds of commensurate states with cubic symmetry, each having twelve sublattices with spins pointing in (1,1,0) directions in spin space (modulo a global rotation) and (ii) varieties of incommensurate conic spiral. The latter family is addressed by projecting the three-dimensional lattice to a one-dimensional chain, with a basis of two (or more) sites per unit cell. Intel Corporation 2014-08-18T19:09:04Z 2014-08-18T19:09:04Z 2013-07 2012-09 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88787 Sklan, Sophia R., and Christopher L. Henley. “Nonplanar Ground States of Frustrated Antiferromagnets on an Octahedral Lattice.” Phys. Rev. B 88, no. 2 (July 2013). © 2013 American Physical Society https://orcid.org/0000-0001-7954-2029 en_US http://dx.doi.org/10.1103/PhysRevB.88.024407 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Henley, Christopher L. Sklan, Sophia Robin Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| title | Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| title_full | Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| title_fullStr | Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| title_full_unstemmed | Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| title_short | Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| title_sort | nonplanar ground states of frustrated antiferromagnets on an octahedral lattice |
| url | http://hdl.handle.net/1721.1/88787 https://orcid.org/0000-0001-7954-2029 |
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