Dear all,
Is there a way to perform a phonon calculation only for the lowest phonon 
frequency for exemple by using the Lanczos algorithm?

I mean to test the dynamical stability of a structure, one only need to know 
that "all the frequencies are positives over the full BZ",
which is the same as "no frequencies are negatives" and in this case, one only 
need to know the lowest value of all the phonons frequencies.
For the biggest structures with a too big dynamical matrix, the phonon DOS have 
a too high computationnal cost and this trick should be very usefull...

Best regards,

Antoine Jay
 
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