Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7

Abstract

Despite a Curie-Weiss temperature ${\theta }_{\mathrm{CW}}\sim -14$ K, the Tb2Ti2O7 pyrochlore magnetic material lacks long range magnetic order down to at least $T^{\ast }\approx 50$ 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 $\mathbf{B}$ 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 $\mathbf{B}$ 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 $\mathbf{B}=0$ 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 $\mathbf{B}=0$ in this material and help guide the development of a theory for the origin of its spin liquid state.

6 pages, 3 figures

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• Temperature and Magnetic Field Dependence of Spin Ice Correlations in the Pyrochlore Magnet Tb2Ti2O7
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• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Low temperature dynamic freezing and the fragility of ordering in Tb2Sn2O7
• Emergent order in the spin-frustrated system DyxTb2-xTi2O7 studied by ac susceptibility measurements
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• A Large-$S$ Study of Quantum Kagome Ice
• Low temperature crystal structure and local magnetometry for the geometrically frustrated pyrochlore Tb2Ti2O7
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
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• XY ring exchange model with frustrated Ising coupling on the triangular lattice
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• Quantum triangular ice in the easy-axis ferromagnetic phase