Frustrated Order by Disorder: the Pyrochlore Antiferromagnet with Bond Disorder

@article{BellierCastella2000FrustratedOB,
  title={Frustrated Order by Disorder: the Pyrochlore Antiferromagnet with Bond Disorder},
  author={L. Bellier-Castella and M. Gingras and P. Holdsworth and R. Moessner},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2000}
}
The classical Heisenberg antiferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show that, in stark contrast, weak bond disorder lifts the ground state degeneracy in favour of locally collinear spin configurations. We present a proof that for a single tetrahedron the ground state is perfectly collinear but identify two mechanisms which preclude… Expand
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