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 mid...
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society,
2014-08-18T19:09:04Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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 |
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