Debye temperature with respect to temperature

[atul_pandey]

Can I calculate debye temperature with respect to temperature using VASP? I
am not getting it from the VASP wiki. I have calculated specific heat from phonopy, but how do I calculate debye temperature with respect to temperature? Can I calculate it from phonopy code?

[pedro_melo]

Dear atul_pandey,

We currently do not have a framework that extracts the Debye temperature. If, however, you have the specific heat as a function of temperature, you might be able to extract the Debye temperature from the low-temperature region. You can find in several textbooks that in this regime \(C_V \sim T^{3}/T_D^{3}\), where \(C_V\) is the heat capacity and \(T_D\) the Debye temperature.

Hope this helps. Kind regards,
Pedro

[atul_pandey]

Thank you, sir. We have tried this formula but it is used for only at low temperature.