From 8641de723685c0d3eddaa39064b402bba5ec75f6 Mon Sep 17 00:00:00 2001 From: David Lenfesty Date: Sat, 6 Feb 2021 20:15:01 -0700 Subject: [PATCH] Added q3 plots --- PS1/q3.m | 42 +++++++++++++++++++++++++++++++++++++++--- PS1/q3_0V.png | Bin 0 -> 19752 bytes PS1/q3_0V05.png | Bin 0 -> 20201 bytes PS1/q3_current.png | Bin 0 -> 12937 bytes PS1/q3_ne.png | Bin 0 -> 17343 bytes 5 files changed, 39 insertions(+), 3 deletions(-) create mode 100644 PS1/q3_0V.png create mode 100644 PS1/q3_0V05.png create mode 100644 PS1/q3_current.png create mode 100644 PS1/q3_ne.png diff --git a/PS1/q3.m b/PS1/q3.m index c084830..54c231c 100644 --- a/PS1/q3.m +++ b/PS1/q3.m @@ -14,19 +14,55 @@ gamma_sum = gamma_1 + gamma_2; % Channel energy levels, varying between -0.25eV and 0.25eV epsilon = linspace(-0.25, 0.25, 101); +depsilon = epsilon(2) - epsilon(1); % Energy grid E = linspace(-1, 1, 501); +dE = E(2) - E(1); % Contact fermi functions -f_1 = 1 ./ (1 + exp((E - mu)./kBT1)); -f_2 = 1 ./ (1 + exp((E - mu)./kBT2)); +f_1 = 1 ./ (1 + exp((E - mu)./kBT_1)); +f_2 = 1 ./ (1 + exp((E - mu)./kBT_2)); % Iterate through channel energy levels for n = 1:length(epsilon) % Compute energy level density functions - integral normalized to unity - D = (gamma./(2*pi))./((E-cal_E(count)).ˆ2+((gamma./2).ˆ2)); + D = (gamma_sum./(2*pi))./((E-epsilon(n)).^2+((gamma_sum./2).^2)); + %D = (gamma./(2*pi))./((E-epsilon(n)).ˆ2+((gamma_sum./2).ˆ2)); D = D./(dE*sum(D)); + + % Compute number of channel electrons + + N(n) = dE*sum( ((gamma_1./gamma_sum).*f_1 + (gamma_2./gamma_sum).*f_2).*D ); + % Compute the current in Amps; factor of q to resolve units + + I(n) = q*(q/hbar)*dE*sum((f_1 - f_2).*D.*gamma_1.*gamma_2./gamma_sum); + + %plot f_1 - f_2 and D/2 + + if (abs(epsilon(n) + 0.05) <= depsilon / 2) & (epsilon(n) <= 0) + figure(3); + h = plot(f_1-f_2, E, 'x', D/2500, E, 'k-'); + set(gca, 'Fontsize', [18]); + axis([-0.01 0.02 -1 1]); + xlabel('f1(E) - f2(E), D(E)/2500'); + ylabel('ENERGY [eV]'); + legend('f1-f2', 'D(E)/2500'); + title('CHANNEL LEVEL = -0.05 eV'); + elseif (abs(epsilon(n)) <= depsilon / 2) & (epsilon(n) <= 0) + figure(4); + h = plot(f_1-f_2, E, 'x', D/2500, E, 'k-'); + set(gca, 'Fontsize', [18]); + axis([-0.01 0.02 -1 1]); + xlabel('f1(E) - f2(E), D(E)/2500'); + ylabel('ENERGY [eV]'); + legend('f1-f2', 'D(E)/2500'); + title('CHANNEL LEVEL = 0 eV'); + end end + + +% Final plots +figure(1); diff --git a/PS1/q3_0V.png b/PS1/q3_0V.png new file mode 100644 index 0000000000000000000000000000000000000000..8d0a24c2de35016f2c54d9f8df75d99a6a0a7be4 GIT binary patch literal 19752 zcmeIabySu8);79m0g*Ck0g>)*b%}t40)j}_qCvVt3_w6i8blgILb^i{L_oSbrKCI0 zTt0ih`~A-Mo^if0&cA1kz1QPl#eLtud;aFU=5<|j1wK-GKtw=6fIuLKs`@Fzyc z`%fKJZBdRc2KFWh#XD*WckZ&&shOG3DH=GMY1rCZInHDuwOE>{>8fzI z6Y6rS@+;C^A;G!BUwB#ZG4oo*>ejJQooPJEG-mjCb<17y*DU{bT&L$kvDjM8q2~f$ zvYnZg6(gLhWu#^`dP$HMWZ_&$|32gY@6YcB@(~x9Sy(Ea|HMDbi*7a6sdj$Ce0dSy6$!f1g^!{#An8uSAhw zR4gnk@i=vd3khT5lb+ilW%o2RG^(qrM9=&GjFy+q|E3=A@86xM^{5etcZ$BV*&-{6 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