Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7

Abstract

In a ferromagnet, the spin excitations are the well-studied magnons. In frustrated quantum magnets, long-range magnetic order fails to develop despite a large exchange coupling between the spins. In contrast to the magnons in conventional magnets, their spin excitations are poorly understood. Are they itinerant or localized? Here we show that the thermal Hall conductivity ${\kappa }_{xy}$ provides a powerful probe of spin excitations in the "quantum spin ice" pyrochlore Tb${}_2$Ti${}_2$O${}_7$. The thermal Hall response is large even though the material is transparent. The Hall response arises from spin excitations with specific characteristics that distinguish them from magnons. At low temperature ($T<$ 1 K), the thermal conductivity imitates that of a dirty metal. Using the Hall angle, we construct a phase diagram showing how the excitations are suppressed by a magnetic field.

6 pages, 3 figures

References in corpus (6)

• Observation of the Magnon Hall Effect
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Magnetocaloric effect in pyrochlore antiferromagnet Gd2Ti2O7
• Field Induced Order and Spin Waves in the Pyrochlore Antiferromagnet Tb2Ti2O7
• Antiferromagnetic Spin Ice Correlations at (1/2,1/2,1/2) in the Ground State of the Pyrochlore Magnet Tb2Ti2O7

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