graphene/2D-Conductivity/fermi_conc.m

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%% fermi_conc.m
%%
%% present fermi levels for different carrier concentrations
close all; clear all; clc;
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% FLAGS & OPTIONS
%%%%%%%%%%%%%%%%%%%%%%%%%%%
MIN_CONC = 0;
MAX_CONC = 20;
X_TOTAL = 1e2; % number of points to generate
DISP_EV = true;
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% CALCULATE
%%%%%%%%%%%%%%%%%%%%%%%%%%%
x_vals = logspace(MIN_CONC, MAX_CONC, X_TOTAL); % hz
% CALCULATE SHEET CONDUCTIVITY
energy = zeros(1, length(x_vals));
for x=1:length(x_vals)
temp = fermi_from_carrier_density(x_vals(x), ev_to_j(2.8)); % scatter_lifetime (s)
if DISP_EV
temp = j_to_ev(temp);
end
energy(1, x) = temp;
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% RENDER
%%%%%%%%%%%%%%%%%%%%%%%%%%%
% INTRA
plot(x_vals, energy, 'LineWidth', 1.5);
title('Fermi level for differing carrier concentrations');
set(gca,'Xscale','log')
set(gca,'Yscale','log')
% axis tight
grid;
xlabel('Carrier Concentration (m^{-2})');
if DISP_EV
ylabel('Fermi Energy (eV)');
else
ylabel('Fermi Energy (J)');
end