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Pot_InAs_AlInAs.m
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Pot_InAs_AlInAs.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Vb=0.6; %% Potential barrier height[eV]
Mass = 0.043; %% effective mass, constant over all the structure...
Mx=50e-9; %% map X [m]
My=100e-9; %% map Y [m]
Mz=10e-9; %% map Z [m]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
WLt = 0.5e-9; %% Wetting Layer thickness [m]
Rx = 8e-9; %% radius in the the x-direction of the ellipse [m]
Rz = 2.5e-9; %% radius in the the z-direction of the ellipse [m]
Ly = 32e-9; %% half-length of the cylinder in the the y-direction
x0=0;y0=0;z0=-WLt; %% center position of the ellipse & cylinder
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x=linspace(-Mx/2,Mx/2,Nx);
y=linspace(-My/2,My/2,Ny);
z=linspace(-Mz/2.5,Mz/1.5,Nz);
[X,Y,Z]=meshgrid(x,y,z);
idx_QD = ( ((X-x0)/Rx).^2 + ((Z-z0)/Rz).^2 < 1 ) & ( abs(Y-y0)<Ly ); %% elipse & cylinder index
idx_QD(Z < z0) = 0; %% cut the ellipse in half
idx_WL = (Z < 0) & (Z > -WLt); %% Wetting Layer index
idx = idx_QD | idx_WL;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
V0=(idx)*0 + (1-idx)*Vb ;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
V0=(Fx*X)+V0; % adding the electric field Fx to the potential in the x-direction
V0=(Fy*Y)+V0; % adding the electric field Fy to the potential in the y-direction
V0=(Fz*Z)+V0; % adding the electric field Fz to the potential in the y-direction
V0=V0-min(min(min(V0)));
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
figure('Name','Potential','position',[100 100 1600 800])
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,1,'fontsize',15)
hold on;grid on;
pcolor(x*1e9,z*1e9,squeeze(V0(round(end/2),:,:))')
plot([-1 1]*Mx/2*1e9,[0 0],'w','linewidth',2)
plot(+[1 1]*Rx*1e9,[-1 1]*Mx*1e9,'w','linewidth',2)
plot(-[1 1]*Rx*1e9,[-1 1]*Mx*1e9,'w','linewidth',2)
colormap(cool)
colorbar
xlim([-1 1]*Mx/2*1e9)
ylim([-1 1]*My/2*1e9)
xlabel('x (nm)')
ylabel('z (nm)')
title(strcat('Potential (eV): Vxz @y=0nm'))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,4,'fontsize',15)
hold on;grid on;
pcolor(y*1e9,z*1e9,squeeze(V0(:,round(end/2),:))')
plot([-1 1]*My/2*1e9,[0 0],'w','linewidth',2)
plot(+[1 1]*Ly*1e9,[-1 1]*My*1e9,'w','linewidth',2)
plot(-[1 1]*Ly*1e9,[-1 1]*My*1e9,'w','linewidth',2)
colormap(cool)
colorbar
xlim([-1 1]*Mx/2*1e9)
ylim([-1 1]*My/2*1e9)
xlabel('y (nm)')
ylabel('z (nm)')
title(strcat('Potential (eV): Vyz @x=0nm'))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,2,'fontsize',15)
hold on;grid on;
idz=find(z>0);
idz=idz(1);
pcolor(x*1e9,y*1e9,squeeze(V0(:,:,idz)))
plot([-1 1]*Mx*1e9,[1 1]* Ly*1e9,'w','linewidth',2)
plot([-1 1]*Mx*1e9,[1 1]*-Ly*1e9,'w','linewidth',2)
plot([1 1]* Rx*1e9,[-1 1]*My*1e9,'w','linewidth',2)
plot([1 1]*-Rx*1e9,[-1 1]*My*1e9,'w','linewidth',2)
colormap(cool)
colorbar
xlim([-1 1]*My/2*1e9)
ylim([-1 1]*My/2*1e9)
xlabel('x (nm)')
ylabel('y (nm)')
title(strcat('Potential (eV): Vxy @z=',num2str(z(idz)*1e9,'%.2f'),'nm'))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,5,'fontsize',15)
hold on;grid on;
idz=find(z>Rz-WLt);
idz=idz(1)-1;
pcolor(x*1e9,y*1e9,squeeze(V0(:,:,idz)))
plot([-1 1]*Mx*1e9,[1 1]* Ly*1e9,'w','linewidth',2)
plot([-1 1]*Mx*1e9,[1 1]*-Ly*1e9,'w','linewidth',2)
plot([1 1]* Rx*1e9,[-1 1]*My*1e9,'w','linewidth',2)
plot([1 1]*-Rx*1e9,[-1 1]*My*1e9,'w','linewidth',2)
colormap(cool)
colorbar
xlim([-1 1]*My/2*1e9)
ylim([-1 1]*My/2*1e9)
xlabel('x (nm)')
ylabel('y (nm)')
title(strcat('Potential (eV): Vxy @z=',num2str(z(idz)*1e9,'%.2f'),'nm'))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,3,'fontsize',15)
hold on;grid on;
plot(z*1e9,squeeze(V0(round(end/2),round(end/2),:)) ,'b.-')
plot(z*1e9,squeeze(V0(round(end/2),end,:)) ,'r.-')
xlabel('z (nm)')
ylabel('Energy (eV)')
title(strcat('Potential (eV): Vz @y=0nm and \color{blue}x=0nm ; \color{red}x=',num2str(x(end)*1e9),'nm'))