126 lines
3.7 KiB
Matlab
126 lines
3.7 KiB
Matlab
%% conductivity_phase_calculations.m
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%%
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%% calculate and present 2D sheet conductivty phase for graphene
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close all; clear all; clc;
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%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% FLAGS & OPTIONS
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%%%%%%%%%%%%%%%%%%%%%%%%%%%
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DISPLAY_HZ = true; % convert rads back to Hz for presenting
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MIN_F = 9;
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MAX_F = 15;
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F_TOTAL = 1e2; % number of points to generate
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% EXCITATION_TYPE = 'intra';
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% EXCITATION_TYPE = 'inter';
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EXCITATION_TYPE = 'all';
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MULTIPLE_SERIES = true; % for comparing two dopants
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%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% CALCULATE
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%%%%%%%%%%%%%%%%%%%%%%%%%%%
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x_vals = logspace(MIN_F, MAX_F, F_TOTAL); % hz
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x_vals = x_vals .* (2*pi); % rads-1
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% CALCULATE SHEET CONDUCTIVITY
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cond = zeros(length(x_vals), 2);
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for x=1:length(x_vals)
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cond(x, :) = sheet_conductivity(x_vals(x),... % omega (rads-1)
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fermi_from_carrier_density(1.3e17, ev_to_j(3)),... % fermi_level (J)
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300,... % temp (K)
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1e-12); % scatter_lifetime (s)
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end
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if MULTIPLE_SERIES
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cond2 = zeros(length(x_vals), 2);
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for x=1:length(x_vals)
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cond2(x, :) = sheet_conductivity(x_vals(x),... % omega (rads-1)
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fermi_from_carrier_density(2.2e17, ev_to_j(3)),... % fermi_level (J)
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300,... % temp (K)
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1e-12); % scatter_lifetime (s)
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end
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% cond3 = zeros(length(x_vals), 2);
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% for x=1:length(x_vals)
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% cond3(x, :) = sheet_conductivity(x_vals(x),... % omega (rads-1)
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% fermi_from_carrier_density(1.3e17, ev_to_j(3)),... % fermi_level (J)
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% 300,... % temp (K)
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% 1e-13); % scatter_lifetime (s)
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% end
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end
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if DISPLAY_HZ % divide radians back to hertz
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x_vals = x_vals ./ (2*pi);
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end
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%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% RENDER
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%%%%%%%%%%%%%%%%%%%%%%%%%%%
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RE_COLOUR = 'r';
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RE_COLOUR2 = 'g';
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RE_COLOUR3 = 'b';
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LW = 2;
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figure(1);
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hold on;
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% INTRA
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if strcmp(EXCITATION_TYPE, 'intra')
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plot(x_vals, angle(cond(:, 1)) .* (180/pi), RE_COLOUR, 'LineWidth', LW);
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if MULTIPLE_SERIES
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plot(x_vals, angle(cond2(:, 1)) .* (180/pi), RE_COLOUR2, 'LineWidth', LW);
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% plot(x_vals, angle(cond3(:, 1)) .* (180/pi), RE_COLOUR3, 'LineWidth', LW);
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end
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title('2D Intraband Sheet Conductivity Phase');
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% INTER
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elseif strcmp(EXCITATION_TYPE, 'inter')
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plot(x_vals, angle(cond(:, 2)) .* (180/pi), RE_COLOUR, 'LineWidth', LW);
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if MULTIPLE_SERIES
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plot(x_vals, angle(cond2(:, 2)) .* (180/pi), RE_COLOUR2, 'LineWidth', LW);
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% plot(x_vals, angle(cond3(:, 2)) .* (180/pi), RE_COLOUR3, 'LineWidth', LW);
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end
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title('2D Interband Sheet Conductivity Phase');
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% COMPLEX
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else
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plot(x_vals, angle(sum(cond, 2)) .* (180/pi), RE_COLOUR, 'LineWidth', LW);
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if MULTIPLE_SERIES
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plot(x_vals, angle(sum(cond2, 2)) .* (180/pi), RE_COLOUR2, 'LineWidth', LW);
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% plot(x_vals, angle(sum(cond3, 2)) .* (180/pi), RE_COLOUR3, 'LineWidth', LW);
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end
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title('2D Sheet Conductivity Phase');
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end
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set(gca,'Xscale','log')
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% set(gca,'Yscale','log')
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axis tight
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ylim([-90 90])
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if MULTIPLE_SERIES
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legend('TTF \phi(\sigma)', 'CoCp_2 \phi(\sigma)');
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% legend('1x10^8m^{-2} \phi(\sigma)', '1x10^{15}m^{-2} \phi(\sigma)', '1.3x10^{17}m^{-2} \phi(\sigma)');
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% legend('10K \phi(\sigma)', '300K \phi(\sigma)', '2230K \phi(\sigma)');
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% legend('5x10^{-12} s \phi(\sigma)', '1x10^{-12} s \phi(\sigma)', '1x10^{-13} s \phi(\sigma)');
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else
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legend('\phi');
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end
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grid;
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ylabel('Conductivity Phase (Degrees)');
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if DISPLAY_HZ
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xlabel('Frequency (Hz)');
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else
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xlabel('Frequency (rads-1)');
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end
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