Why spin ice obeys the ice rules
| dc.creator | Isakov, S. V. | |
| dc.creator | Moessner, R. | |
| dc.creator | Sondhi, S. L. | |
| dc.date | 2005-02-04 | |
| dc.date | 2005-09-15 | |
| dc.date.accessioned | 2026-07-07T06:22:56Z | |
| dc.date.available | 2026-07-07T06:22:56Z | |
| dc.description | The low temperature entropy of the the spin ice compounds, such as Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, is well described by the nearest-neighbor antiferromagnetic Ising model on the pyrochlore lattice, i.e.\ by the ``ice rules''. This is surprising since the dominant coupling between the spins is their long ranged dipole interaction. We show that this phenomenon can be understood rather elegantly: one can construct a model dipole interaction, by adding terms of shorter range, which yields {\it precisely} the same ground states, and hence T=0 entropy, as the nearest neighbor interaction. A treatment of the small difference between the model and true dipole interactions reproduces the numerical work by Gingras et al in detail. We are also led to a more general concept of projective equivalence between interactions. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0502137 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0502137 | |
| dc.identifier | Phys. Rev. Lett. 95, 217201 (2005) | |
| dc.identifier | doi:10.1103/PhysRevLett.95.217201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96064 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Why spin ice obeys the ice rules | |
| dc.type | text |