資源簡介
石墨烯因其出色的電學、力學、熱學、光學特性引起了全球研究熱潮。作為超材料和變換光學平臺,有必要計算它的電導率。
代碼片段和文件信息
clc
clear;
j?=?sqrt(-1);
e?=?1.6e-19;
K_B?=?1.3806503e-23;?%?K_B是玻爾茲曼常數
T?=?3;
hb?=?(6.626e-34)/(2*pi);
%?tau?=?3e?12;?%?form?GW?Hanson?paper
%?tau?=?.64e?12;?%?Soljacic?paper
%?gamma?=?1/(2*tau);
gamma?=?0.65460252158e12;?%?Gusynin?J.?Phys.:?Cond.?Mat.
sigma_min?=?6.085e-5;
vf?=?10^6;
w?=?pi*2e12*linspace(5400200);?%?CO2?lasers?are?this?range
m?=?length(w);
mu_c?=?1.6e-19*(.15);?%?mu_c?=?0.15?eV
n?=?length(mu_c);
mu_ct?=?repmat(mu_cm1);?%?generating?the?matrix?for?chemical?potential
wt?=?repmat(transpose(w)1n);?%?generating?the?matrix?forfrequency
sigma_d_intra?=?...
???-j*((e^2*K_B*T)./(pi*hb^2*(wt-j*2*gamma))).*((mu_ct)/(K_B*T)...
???+2*log(exp(-mu_ct/(K_B*T))+1));?%intraband?term
sigma_d_inter?=?zeros(mn);?%?interband?term?variable?definition
eps?=?1.6e-19*linspace(010600000);?%?一個能量為E的獨立量子態
q?=?length(eps);
%?Interband?term?calculations
for?i?=?1:n
????muc?=?mu_c(i);
????f_d_meps?=?1./(1+exp((-eps-muc)/(K_B*T)));?%?費米狄拉克分布
????f_d_peps?=?1./(1+exp((eps-muc)/(K_B*T)));
????for?k?=?1:m
????????sigma_d_inter(ki)?=?...
???????????trapz(eps-(j*e^2*(w(k)-j*2*gamma)/(pi*hb^2))...
???????????*(f_d_meps-f_d_peps)./((w(k)-j*2*gamma)^2-4*(eps/hb).^2));
????end
end
sigma_tot?=?sigma_d_inter+sigma_d_intra;?%?total?conductivity
C?=?{‘k‘‘r‘‘b‘‘c‘‘g‘‘m‘‘y‘};
p1?=?zeros(1n);
pp1?=?zeros(1n);
s1?=?cell(1?n);
p2?=?zeros(1n);
pp2?=?zeros(1n);
s2?=?cell(1?n);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
figure(1)
subplot(211)
for?i?=?1:n
????hold?on
????p1(i)?=?...
???????plot(1e-12*w/2/pi(transpose(real((sigma_d_inter(:i)))))/...
????????(e^2/hb/4)‘Color‘?C{i}‘Linewidth‘2);hold?on
????pp1(i)?=?...
???????plot(1e-12*w/2/pi(transpose(real((sigma_d_intra(:i)))))/...
????????(e^2/hb/4)‘Color‘?...
???????????C{i}‘Linewidth‘2‘Linestyle‘‘-.‘);hold?on
???????s1{i}?=?sprintf(‘mu_{c%d}?=?%d?meV‘i1e3*mu_c(i)/(1.6e-19));
end
ind?=?1:n;
%?axis?square
box?on
xlabel(‘f?(THZ)‘‘fontsize‘20‘fontweight‘‘b‘);
ylabel(‘Re(\sigma)‘‘fontsize‘20‘fontweight‘‘b‘);
legend(p1(ind)?s1{ind});
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%figure(2)
subplot(212)
hold?on
for?i?=?1:n
????hold?on
????p2(i)?=?...
???????plot(1e-12*w/2/pi-(transpose(imag((sigma_d_inter(:i)))))/...
????????(e^2/hb/4)‘Color‘?C{i}‘Linewidth‘2);hold?on
????pp2(i)?=?...
???????plot(1e-12*w/2/pi-(transpose(imag((sigma_d_intra(:i)))))/...
????????(e^2/hb/4)‘Color‘?...
????????????C{i}‘Linewidth‘2‘Linestyle‘‘-.‘);hold?on
???????s2{i}?=?sprintf(‘mu_{c%d}?=?%d?meV‘i1e3*mu_c(i)/(1.6e-19));
end
%?axis?square
box?on
xlabel(‘f?(THZ)‘‘fontsize‘20‘fontweight‘‘b‘);
ylabel(‘Im(\sigma)‘‘fontsize‘20‘fontweight‘‘b‘);
%legend(p2(ind)?s2{ind});
?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件???????2930??2014-04-04?11:37??Complex_conductivity_of_graphene.m
-----------?---------??----------?-----??----
?????????????????2930????????????????????1
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