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We develop the microscopic theory for the attenuation of out-of-plane phononsin stressed flexible two-dimensional crystalline materials. We demonstrate thatthe presence of nonzero tension strongly reduces the relative magnitude of theattenuation and, consequently, results in parametrical narrowing of thephononspectral line. We predict the specific power-law dependence of thespectral-line width on temperature and tension. We speculate that suppressionof the phonon attenuation by nonzero tension might be responsible for highquality factors of mechanical nanoresonators based on flexural two-dimensionalmaterials.

Narrowing of the flexural phonon spectral line in stressed crystalline two-dimensional materials