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Boundary conditions for triangular lattice

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I am trying to simulate an infinite 2D triangular lattice in Comsol for phononic band structure but I am confused that how should I use periodic floquet boundary conditions on the unit-cell.

A unit cell that I am using is given below.

Image

It has 6 sides, L1,L2,...,L6. In the case of a square lattice, we simply just select floquet boundary conditions on both pairs of opposite sides because k_x and k_y are parallel to those sides.

Now, the pair of opposite sides (i.e. L1 and L4, L2 and L5, and L3 and L6) are not parallel to the k vectors. How do we define boundary conditions now?

(I am trying to calculate the band structure on \Gamma, K and M points which are defined on this orthogonal k_x, k_y axis.)

Is there any other way to define k axis and simualte triangular lattice?


0 Replies Last Post 2 mai 2020, 23:51 UTC−4
COMSOL Moderator

Hello Luqman Saleem

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