Gemma C. Solomon Nano Science Centre and Department ... - AtMol
Gemma C. Solomon Nano Science Centre and Department ... - AtMol
Gemma C. Solomon Nano Science Centre and Department ... - AtMol
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Nature Chem. 2,! 223-228 (2010)<br />
Current through an arbitrary surface<br />
I mn = 2e<br />
¯h<br />
Z dε<br />
2π K mn(ε)<br />
I = 2e<br />
h<br />
∑<br />
m∈M L<br />
Z<br />
∑<br />
n∈M R<br />
dεK mn (ε)<br />
∑<br />
m∈M L<br />
K mn (ε)=∑<br />
i∈m<br />
∑ K mn (ε)=(f L (ε) − f R (ε))T (ε)<br />
n∈M R<br />
∑ ∑(if L (V ij G r jkΓ L klG a li−V ji G r ilΓ L lkG a kj)<br />
j∈n kl<br />
n=m<br />
−if R (V ji G r ilΓ R lkG a kj−V ij G r jkΓ R klG a lj))