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we take the Hamiltonian in the two semi-infinite leads as bulklike. Then, the self-energies, ΣL and ΣR, which describe the interactions between the left (L) and right (R) leads with the contact region and the Green functions (retarded and advanced, Gr,a) can be calculated. The transmission in the Landauer expression for the conductance can be evaluated as T(ε)=Tr[ΓL(ε)Gr(ε) ΓR(ε)Ga(ε)], where ΓL,R=ΣL,Rr-ΣL,Ra. The generalization of this formalism to include spin, involves the use of spin DFT, and the above relations hold for both spin directions.
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For further details, see Ref..
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For further details, see Ref..
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The pseudopotentials include the 2s and 2p orbitals for the oxygens and the 5d and 6s orbitals for the Au.
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23
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38749086355
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note
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Choice of the initial configuration followed preliminary explorations that led us to conclude that molecular oxygen incorporation between the two outermost tip atoms [structure A in Fig. 1 (i)] is the most likely one to correspond to the measured wire-drawing and transport measurements;
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24
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33845745877
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see a study of the incorporation of an oxygen molecule into a silver contact by PRLTAO 0031-9007 10.1103/PhysRevLett.97.256101
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