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Transition metal dichalcogenide MoTe$_2$ is an important candidate forrealizing the newly predicted type-IIWeyl fermions, for which the breaking ofthe inversion symmetry is a prerequisite. Here we present direct spectroscopicevidence for the inversion symmetry breaking in the low temperature phase ofMoTe$_2$ by systematic Raman experiments and first principles calculations. Weidentify five lattice vibrational modes which are Raman active only innoncentrosymmetric structure at low temperature. A hysteresis is also observedin the peak intensity of inversion symmetry activated Raman modes, confirming atemperature induced structural phase transition with a concomitant change inthe inversion symmetry. Our results provide definitive evidence for the lowtemperature noncentrosymmetric T$_d$ phase from vibrational spectroscopy, andsuggest MoTe$_2$ as an ideal candidate for investigating the temperatureinduced topological phase transition.

Raman signatures of inversion symmetry breaking and structural phase transition in type-II Weyl semimetal MoTe2