Thermal conductance of thin film YIG determined using Bayesian statistics

Thin film YIG (${\mathrm{Y}}_{3}{\mathrm{Fe}}_{5}{\mathrm{O}}_{12}$) is a prototypical material for experiments on thermally generated pure spin currents and the spin Seebeck effect. The $3\ensuremath{\omega}$ method is an established technique to measure the cross-plane thermal conductance of thin films, but cannot be used in YIG/GGG (${\mathrm{Ga}}_{3}{\mathrm{Gd}}_{5}{\mathrm{O}}_{12}$) systems in its standard form. We use two-dimensional modeling of heat transport and introduce a technique based on Bayesian statistics to evaluate measurement data taken from the $3\ensuremath{\omega}$ method. Our analysis method allows us to study material systems that have not been accessible with the c…