Phonon thermal Hall effect in a metallic spin ice

Abstract

It has become common knowledge that phonons can generate thermal Hall effect in a wide variety of materials, although the underlying mechanism is still controversial. We study longitudinal ${\kappa }_{xx}$ and transverse ${\kappa }_{xy}$ thermal conductivity in Pr${}_2$Ir${}_2$O${}_7$, which is a metallic analogue of spin ice. Despite the presence of mobile charge carriers, we find that both ${\kappa }_{xx}$ and ${\kappa }_{xy}$ are dominated by phonons. A $T/H$ scaling of ${\kappa }_{xx}$ unambiguously reveals that longitudinal heat current is substantially impeded by resonant scattering of phonons on paramagnetic spins. Upon cooling, the resonant scattering is strongly affected by a development of spin ice correlation and ${\kappa }_{xx}$ deviates from the scaling in an anisotropic way with respect to field directions. Strikingly, a set of the ${\kappa }_{xx}$ and ${\kappa }_{xy}$ data clearly shows that ${\kappa }_{xy}$ correlates with ${\kappa }_{xx}$ in its response to magnetic field including a success of the $T/H$ scaling and its failure at low temperature. This remarkable correlation provides solid evidence that an indispensable role is played by spin-phonon scattering not only for hindering the longitudinal heat conduction, but also for generating the transverse response.

arXiv comment18 pages, 4 figures

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• Thermal Hall conductivity of semimetallic graphite dominated by ambipolar phonon drag
• Field-Angle Dependence of Phonon Thermal Hall Effect in Na2X2TeO6 (X = Co, Zn)
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Phonon Thermal Hall Effect: The Roles of Disorder, Annealing, and Metallic Contacts
• Anomalies in the thermal conductivity of honeycomb antiferromagnet MnPS${}_3$
• Complex Temperature-dependent Thermal Conductivity in a Sawtooth Chain Magnet Fe${}_2$SiSe${}_4$