Re: k-point K in triangular lattice example.

Rafael González García <[email protected]> Mon, 02 Jun 2014 11:56:18 -0500
Newsgroups gmane.comp.science.photonic-bands
Message-ID <[email protected]>
Hi Alex

In that same tutorial is mentioned that the k-points are in the basis of 
the reciprocal lattice vectors. It's a little confusing but is kind of 
the same issue you get outputting the dielectric function with a 
triangular lattice.

Rafael


El 02/06/14 08:06, Alex escribió:
> Dear MPB users and developers.
> I was little confused after observation dispersion curves of 2D
> hexagonal photonic crystal. Maximum k-vector value at Gamma-K
> direction was 0.47 (2pi/a), not 0.5 (2pi/a).
> I guess the cuase of this in MPB example code*:
> "(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))"
>
> Gamma-K vector length is (2*(1/3)^2)^0.5=0.471
> My question is: Why K point was set  (vector3 (/ -3) (/ 3) 0) not
> (vector3 (/ -0.5 (sqrt 2)) (/ 0.5 (sqrt 2)) 0)?
>
> *URL: http://ab-initio.mit.edu/wiki/index.php/MPB_User_Tutorial#Bands_of_a_Triangular_Lattice
>
> Alex Friman,
> LPI RAS
>
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