Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
Name
Sklan-2013-Nonplanar ground states.pdf
Size
658.61 KB
Format
Adobe PDF
Checksum (MD5)
6c928ba297fb59e10c1fa5e61868b912
Author(s)
Henley, Christopher L.
Sklan, Sophia Robin
Date Issued
July 2013
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.88.024407
