- #1

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## Main Question or Discussion Point

I want to plot band structure silicene in the following path: Γ→M→K→Γ

Do the following equation for the above path is correct:

close all

clear all

clc

aa=2.28;

a=3.86;

a1=(a/2)*[sqrt(3),-1,0];

a2=(a/2)*[sqrt(3),1,0];

b1y=-(2*pi)/a;

b1x=(2*pi)/(sqrt(3)*a);

b2x=b1x;

b2y=-b1y;

%K-point

pKx = (1/3)*b1x+(2/3)*b2x;

pKy = (1/3)*b1y+(2/3)*b2y;

%M-point

pMx = b2x/2;

pMy = b2y/(2);

%Gamma point

pGx = 0;

pGy = 0;

xxx =(0:0.05:1)';

%K-G

xx =xxx;

yy = xx;

xx = -(pKx - pGx)*xx + pKx;

yy = -(pKy -pGy)*yy + pKy;

%G-M

xx1 = xxx;

yy1 = xx1;

xx1 = -(pGx - pMx)*xx1 + pGx;

yy1 = -(pGy-pMy)*yy1 + pGy;

%M-k

xx2 = xxx;

yy2 = xx2;

xx2 = -(pMx - pKx)*xx2 + pMx;

yy2 = -(pMy -pKy)*yy2 + pMy;

xx = [transp(xx2),transp(xx),transp(xx1)];

yy =[transp(yy2),transp(yy),transp(yy1)];

for ope=1:length(xx),

k = [xx(ope),yy(ope),0]

end

Do the following equation for the above path is correct:

close all

clear all

clc

aa=2.28;

a=3.86;

a1=(a/2)*[sqrt(3),-1,0];

a2=(a/2)*[sqrt(3),1,0];

b1y=-(2*pi)/a;

b1x=(2*pi)/(sqrt(3)*a);

b2x=b1x;

b2y=-b1y;

%K-point

pKx = (1/3)*b1x+(2/3)*b2x;

pKy = (1/3)*b1y+(2/3)*b2y;

%M-point

pMx = b2x/2;

pMy = b2y/(2);

%Gamma point

pGx = 0;

pGy = 0;

xxx =(0:0.05:1)';

%K-G

xx =xxx;

yy = xx;

xx = -(pKx - pGx)*xx + pKx;

yy = -(pKy -pGy)*yy + pKy;

%G-M

xx1 = xxx;

yy1 = xx1;

xx1 = -(pGx - pMx)*xx1 + pGx;

yy1 = -(pGy-pMy)*yy1 + pGy;

%M-k

xx2 = xxx;

yy2 = xx2;

xx2 = -(pMx - pKx)*xx2 + pMx;

yy2 = -(pMy -pKy)*yy2 + pMy;

xx = [transp(xx2),transp(xx),transp(xx1)];

yy =[transp(yy2),transp(yy),transp(yy1)];

for ope=1:length(xx),

k = [xx(ope),yy(ope),0]

end