Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-03-08
Phys. Rev. B59, 12240 (1999)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, RevTeX, 6 figures, to be published in Phys. Rev. B 59 (1999)
Scientific paper
10.1103/PhysRevB.59.12240
The dc conductance through a finite Hubbard chain of size N coupled to two noninteracting leads is studied at T = 0 in an electron-hole symmetric case. Assuming that the perturbation expansion in U is valid for small N (=1,2,3,...) owing to the presence of the noninteracting leads, we obtain the self-energy at \omega = 0 analytically in the real space within the second order in U. Then, we calculate the inter-site Green's function which connects the two boundaries of the chain, G_{N1}, solving the Dyson equation. The conductance can be obtained through G_{N1}, and the result shows an oscillatory behavior as a function of N. For odd N, a perfect transmission occurs independent of U. This is due to the inversion and electron-hole symmetries, and is attributed to a Kondo resonance appearing at the Fermi level. On the other hand, for even N, the conductance is a decreasing function of N and U.
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