Phonon thermal Hall effect in a metallic spin ice.

Uehara, Taiki; Ohtsuki, Takumi; Udagawa, Masafumi; Nakatsuji, Satoru; Machida, Yo · Nat Commun · 2022

basic_science · Level V

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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 κ<sub>xx</sub> and transverse κ<sub>xy</sub> thermal conductivity in Pr<sub>2</sub>Ir<sub>2</sub>O<sub>7</sub>, which is a metallic analog of spin ice. Despite the presence of mobile charge carriers, we find that both κ<sub>xx</sub> and κ<sub>xy</sub> are dominated by phonons. A T/H scaling of κ<sub>xx</sub> 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 κ<sub>xx</sub> deviates from the scaling in an anisotropic way with respect to field directions. Strikingly, a set of the κ<sub>xx</sub> and κ<sub>xy</sub> data clearly shows that κ<sub>xy</sub> correlates with κ<sub>xx</sub> 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.