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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))

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