A simple model for the vibrational modes in honeycomb lattices
Megjelenés dátuma: 2004
MTMT: 1205008
WoS ID: 000225483400004
Scopus ID: 9444221424
Absztrakt:
The classical lattice dynamics of honeycomb lattices is studied in the
harmonic approximation. Interactions between nearest neighbours are
represented by springs connecting them. A short and necessary
introduction of the lattice structure is presented. The dynamical
matrix of the vibrational modes is then derived and its eigenvalue
problem is solved analytically. The solution may provide deeper insight
into the nature of the vibrational modes. Numerical results for the
vibrational frequencies are presented. To show how effective our method
for the honeycomb lattice is, we also apply it to triangular and square
lattice structures. A few suggested problems are listed in the
concluding section.
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