ECE495N-F08-HW_9_solution - Problem I. (a) w m o ‘5?de o...

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Unformatted text preview: Problem I. (a) w m o ‘5?de o “I (3)“ TVA '1; (e [a {gj[ o E—Q—t-TF] - “I OK 0 E-i—wt 0 [0 PH O 159%] 0‘}. __ k W O 1 race [E _£)}+°(l [52. O W (12%)“er 2. e. g ___,___:°.‘.,.___..__. + F {IE-£9:th fi-iffi-FZ x. -— +3.4 0 gCL.) THE) tTmce 1:: 11‘: E Q J *5) 1 D E~ +it Q 2dot—e/é) L: ° 1 o E -e ~ 23x +[£) 04g 0 “5 Trace [(Ev i )2'-+ (Egg )2' ed; 0 (Eva)? £33; )2 20((3 5 ‘2 W (a) Z/r va C95 6/2. —§'In 9/» "v 91" CD96]; ) fl L19709 50973 Wafif‘Fonathn (Fl-pm T—‘l _._-) 2 [90675 F‘m 7% 3 3‘» 2w 1w Cb; 6/), 'ng 0/» a’r (X 0 '1 a". [ C05 9A $7" 9/}, 1 97M 6/2. C096/2. fig 0 P fig "" Tn 6/; Co; 67» 7.4- as Co ale/2 + F crn-Le/ (w -/B) (956/L fin 6/1 7' J» (b) % 2 levels transmission, changing analyzer clear all SX=[0 1:1 O];sy=[0 -i;i 0];SZ=[1 0:0 -l]; gl=0.1;g2=0.1;Pc=0.25;zplus=i*1e—12;Np=l; jj=1; for theta=0:pi/2:pi ii=l; U=[cos(theta/2) —sin(theta/2);sin(theta/2) cos(theta/2)]; HB=0;dE=0.0025;for EE=—.l:dE:+.1 H=HB*SZ; sigl=-i*0.5*gl*[1 o;o Pc];sigZ=—i*0.5*gz*[1 o;o Pc];sig2=U*sigZ*U'; gam1=i*(sig1-sigl');gam2=i*(sigZ—si92'); G=inv(((EE+zplus)*eye(2))—H—sigl—sig2); TM(ii,jj)=real(trace(gaml*G*gam2*G')); E (ii) =EE; ii=ii+1; end jj=jj+17 end hold on h=plot(TM(:,1),E,'b'); set(h,'linewidth‘,[2.0]) h=plot(TM(:,2),E,'m'); h=plot(TM(:,3),E,'r'); set(gca,'Fontsize',[36]) Xlabel(' Transmission ———> w ylabel(' Energy ( ev ) __-> .) grid on .0 .—k 0 Energy ( eV) —-> O 0.5 1 1 .5 2 Transmission —--> «~50 2;: 1‘? NO' i W W .4 .3 F1 (C) ken-t“. removed fi‘om Con-tact ’1: Fer SQCond‘ ’1:- w :11 El ’73:, 9458’WMOEW3 3~ } . (d) ken-E d7cSTPa1’eol Tn Con‘raulr 1 Fer getano‘_ = T'z’“ a. f‘éxmfio aw: 7r '3. 4 C‘L‘z I_ I“) ken't FLMoVBd "HEM Contact | (Tflnmqnj Contact Z)’ FEW] = 1‘ ‘5'” = ‘r (5%) “‘“T’“‘ " t F( 2—‘14' ) =7 POO: Conmutx‘x km N l+e_" 0F FIX) exffemOt I M W x 2. find We need 1‘0 (x) ...
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ECE495N-F08-HW_9_solution - Problem I. (a) w m o ‘5?de o...

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