Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator

Abstract

Phonons are known to generate a thermal Hall effect in certain insulators, including oxides with rare-earth impurities, quantum paraelectrics, multiferroic materials and cuprate Mott insulators. In each case, a special feature of the material is presumed relevant for the underlying mechanism that confers chirality to phonons in a magnetic field. The question is whether a phonon Hall effect is an unusual occurrence - linked to special characteristics such as skew scattering off rare-earth impurities, structural domains, ferroelectricity, ferromagnetism - or a much more common property of insulators than hitherto believed. To help answer this question, we have turned to a simple insulator, with none of the previously encountered special features: the cubic antiferromagnet Cu${}_3$TeO${}_6$. We find that it has the largest thermal Hall conductivity ${\kappa }_{\mathrm{xy}}$ of any insulator so far. We show that this record-high ${\kappa }_{\mathrm{xy}}$ signal is due to phonons and it does not require the presence of magnetic order, as it persists above the ordering temperature. We conclude that the phonon Hall effect is likely to be a fairly common property of solids.

5 pages, 3 figures

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• Phonon-induced geometric chirality
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• Thermal Hall effect in a van der Waals ferromagnet CrI3
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Sizable suppression of magnon Hall effect by magnon damping in Cr${}_2$Ge${}_2$Te${}_6$
• Phonon thermal Hall effect in charge-compensated topological insulators
• Diagonal and off-diagonal thermal conduction with resonant phonon scattering in $N{i}_{3}Te{O}_6$
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Exchange striction induced thermal Hall effect in van der Waals antiferromagnet MnPS${}_3$
• Phonon thermal Hall effect in non-magnetic Y${}_2$Ti${}_2$O${}_7$
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Planar thermal Hall effect from phonons in cuprates
• Role of magnetic ions in the thermal Hall effect of the paramagnetic insulator TmVO${}_4$
• Abnormally enhanced Hall Lorenz number in the magnetic Weyl semimetal NdAlSi
• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
• Phonon thermal Hall as a lattice Aharonov-Bohm effect
• Phonon Thermal Hall Effect in a non-Kramers Paramagnet
• Spin-Reorientation-Driven Linear Magnetoelectric Effect in Topological Antiferromagnet Cu${}_3$TeO${}_6$
• Upper branch thermal Hall effect in quantum paramagnets
• Extrinsic contribution to bosonic thermal Hall transport
• Thermal Hall conductivity of semimetallic graphite dominated by ambipolar phonon drag
• Giant quantum oscillations in thermal transport in low-density metals via electron absorption of phonons
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Intrinsic Thermal Hall Effect in Mott Insulators
• Phonon Thermal Hall Effect: The Roles of Disorder, Annealing, and Metallic Contacts
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry