Thermal Hall effect refers to the generation of a temperature gradient perpendicular to the applied heat current in presence of a magnetic field. The recent observation of phonon thermal Hall effect in indicates a fundamental flaw in our understanding of heat propagation in insulating solids. The aim of the present thesis project is to investigate the thermal Hall response in silicon in which first-principles theory has been able to give a quantitative account of longitudinal thermal conductivity. Our experimental aim is to document the evolution of the signal as a function of the angle between three vectors, the applied heat current, the magnetic field and the temperature gradient. Acquisition of a geometric phase induced by Born-Oppenheimer approximated atomic wavefunction, well-known in molecular physics has been barely explored in condensed-matter physicists. The possible experimental relevance of this scenario would imply phase-related phenomena propagating over macroscopic distances.