Drastic enhancement of magnon thermal conductivity in the Bose-Einstein condensed state of TlCuCl$_3$
K. Kudo, M. Yamazaki, T. Kawamata, T. Noji, Y. Koike, T. Nishizaki and, N. Kobayashi

TL;DR
This study investigates how magnetic fields influence thermal conductivity in TlCuCl₃, revealing a significant increase in magnon-mediated heat transport in the Bose-Einstein condensed state, with implications for quantum magnetic materials.
Contribution
It demonstrates the drastic enhancement of magnon thermal conductivity in the Bose-Einstein condensed state of TlCuCl₃, a novel observation in quantum magnetism.
Findings
Thermal conductivity peak at 4 K suppressed by magnetic fields up to 7 T.
Emergence of a new sharp peak above 7 T attributed to magnons.
Magnon mean free path extends significantly in the Bose-Einstein condensed state.
Abstract
We have measured the thermal conductivity of a TlCuCl single crystal in magnetic fields up to 14 T. It has been found that the temperature dependence of the thermal conductivity exhibits a sharp peak at 4 K in zero field, which is suppressed by the application of magnetic fields up to 7 T. The peak is concluded to be attributable to the enhancement of the thermal conductivity due to phonons because of the formation of a spin-gap state. In high magnetic fields above 7 T, on the other hand, another sharp peak appears around 4 K and this is enhanced with increasing magnetic field. This peak is regarded as being attributable to the enhancement of the thermal conductivity due to magnons and/or phonons because of the drastic extension of the mean free path of magnons and/or phonons in the Bose-Einstein condensed state.
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