Theses Doctoral

Anharmonic Phonons in Graphene from First Principles

Kornbluth, Mordechai C.

In this work, we develop a new flexible formalism to calculate anharmonic interatomic interactions from first principles at arbitrary order. Using the recently-developed slave-mode basis, we Taylor-expand the potential with a minimal number of independent coefficients. The anharmonic dynamical tensor, a higher-order generalization of the dynamical matrix in strain+reciprocal space, is calculated via a generalized frozen phonon methodology. We perform high-throughput calculations, emphasizing efficiency with multidimensional finite differences and Hellman-Feynman forces. Applying the methodology to graphene, we show convergence through fifth order terms. Our calculated force constants produce stress-strain curves, bond-length relaxations, and phonon spectra that agree well with those expected within DFT. We show that to fully capture anharmonic effects, long-range interactions must be included.


  • thumnail for Kornbluth_columbia_0054D_13871.pdf Kornbluth_columbia_0054D_13871.pdf application/pdf 1.12 MB Download File

More About This Work

Academic Units
Applied Physics and Applied Mathematics
Thesis Advisors
Marianetti, Chris A.
Ph.D., Columbia University
Published Here
July 30, 2017