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Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice

Author(s)
Henley, Christopher L.; Sklan, Sophia Robin
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Abstract
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.
Date issued
2013-07
URI
http://hdl.handle.net/1721.1/88787
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review B
Publisher
American Physical Society
Citation
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
Version: Final published version
ISSN
1098-0121
1550-235X

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