Abstract

It has been known for more than a decade that phonons can produce an off-diagonal thermal conductivity in presence of magnetic field. Recent studies of thermal Hall conductivity, κxyκ_{xy}, in a variety of contexts, however, have assumed a negligibly small phonon contribution. We present a study of κxyκ_{xy} in quantum paraelectric SrTiO3_3, which is a non-magnetic insulator and find that its peak value exceeds what has been reported in any other insulator, including those in which the signal has been qualified as 'giant'. Remarkably, κxy(T)κ_{xy}(T) and κ(T)κ(T) peak at the same temperature and the former decreases faster than the latter at both sides of the peak. Interestingly, in the case of La2_2CuO4_4 and αα-RuCl3_3, κxy(T)κ_{xy}(T) and κ(T)κ(T) peak also at the same temperature. We also studied KTaO3_3 and found a small signal, indicating that a sizable κxy(T)κ_{xy}(T) is not a generic feature of quantum paraelectrics. Combined to other observations, this points to a crucial role played by antiferrodistortive domains in generating κxyκ_{xy} of this solid.

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