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H<br />

⎛H<br />

l<br />

⎜<br />

= ⎜Vdl<br />

⎜<br />

⎝ 0<br />

Zhang, Fonseca, Demkov,<br />

Phys Stat Sol (b), 233,<br />

T lr from Local-Orbital Hamiltonian<br />

T lr<br />

=<br />

V<br />

H<br />

V<br />

l<br />

ld<br />

d<br />

rd<br />

Vˆ<br />

+ Vˆ<br />

Gˆ<br />

Vˆ<br />

V<br />

0<br />

H<br />

dr<br />

r<br />

⎞<br />

⎟<br />

⎟<br />

⎟<br />

⎠<br />

r<br />

( ) 1 −<br />

E − Hˆ<br />

+ i<br />

Gˆ<br />

( E)<br />

= ε<br />

...<br />

Hˆ = Hˆ<br />

l + Hˆ<br />

r + Hˆ<br />

d + Vˆ<br />

dl + Vˆ<br />

dr<br />

Vˆ<br />

left elec.<br />

(H l )<br />

device<br />

(H d )<br />

Computational Materials Science and Engineering<br />

right elec.<br />

(H r )<br />

T l T dl T dr T r<br />

• T lr (E) can be constructed from matrix elements of DFT tightbinding<br />

Hamiltonian H. Pseudo atomic orbitals: ψ(r > r c )=0.<br />

• We use matrix-element output from SIESTA.<br />

...

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