Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
| dc.creator | Molavian, Hamid R. | |
| dc.creator | Gingras, Michel J. P. | |
| dc.date | 2008-09-20 | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T13:12:01Z | |
| dc.date.available | 2026-07-07T13:12:01Z | |
| dc.description | Despite a Curie-Weiss temperature $θ_{\rm CW} \sim -14$ K, the Tb2Ti2O7 pyrochlore magnetic material lacks long range magnetic order down to at least $T^*\approx 50$ mK. It has recently been proposed that the low temperature collective paramagnetic or spin liquid regime of this material may be akin to a spin ice state subject to both thermal and quantum fluctuations $-$ a {\it quantum spin ice} (QSI) of sorts. Here we explore the effect of a magnetic field ${\bm B}$ along the $[111]$ direction on the QSI state. To do so, we investigate the magnetic properties of a microscopic model of Tb2Ti2O7 in an independent tetrahedron approximation in a finite ${\bm B}$ along $[111]$. Such a model describes semi-quantitatively the collective paramagnetic regime where nontrivial spin correlations start to develop at the shortest lengthscale, that is over a single tetrahedron, but where no long range order is yet present. Our results show that a magnetization plateau develops at low temperatures as the system develops ${\bm B}=0$ ferromagnetic spin-ice-like "two-in/two-out" correlations at the shortest lengthscale. From these results, we are led to propose that the observation of such a [111] magnetization plateau in Tb2Ti2O7 would provide compelling evidence for a QSI at ${\bm B}=0$ in this material and help guide the development of a theory for the origin of its spin liquid state. | |
| dc.description | 6 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0809.3477 | |
| dc.identifier | http://arxiv.org/abs/0809.3477 | |
| dc.identifier | J. Phys.: Condens. Matter {21}, 172201 (2009) | |
| dc.identifier | doi:10.1088/0953-8984/21/17/172201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229463 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7 | |
| dc.type | text |