Thermal Transport in aHe4Film at the Kosterlitz-Thouless Transition

Abstract

The thermal conductance of a ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ film has been studied in conjunction with torsional oscillator measurements of the superfluid response. A dramatic rise in the thermal conductance is observed just above the Kosterlitz-Thouless transition temperature determined by the torsional oscillator. In agreement with the theoretical predictions of Ambegaokar et al., the thermal conductance is found to diverge as the exponential of ${(T-T_c)}^{-\frac{1}{2}}$ for $T\to {T_c}^{+}$.