Re: k-points of triangular lattice

"Xing Sheng" <[email protected]>
Newsgroups gmane.comp.science.photonic-bands
Message-ID <[email protected]>
You should draw the real lattice and reciprocal lattice very carefully. Now in the reciprocal space, the basis of k are not orthogonal, they have 120 degree angle.

------------------				 
Sincerely yours,

Xing Sheng
2009-05-24

-------------------------------------------------------------
From:BinShao
Sent:2009-05-24 07:14:33
To:mpb-discuss
Cc:
Subject:[MPB-discuss] k-points of triangular lattice

Hi, mpb users

In the example of bands of the triangular lattice, the k-points are set as

(set! k-points (list (vector3 0 0 0)          ; Gamma
                     (vector3 0 0.5 0)        ; M
                     (vector3 (/ -3) (/ 3) 0) ; K
                     (vector3 0 0 0)))        ; Gamma
(set! k-points (interpolate 4 k-points))

well, I don't understand why the vector of K point is set as (-1/3, 1/3, 
0)  but not (sqrt(3)/6, 0.5, 0)  according to the irreducible Brillouin 
zone of a triangular lattice?

best regards!
Bin Shao

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