Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-10-10
J. Phys. Soc. Jpn. vol. 73, 163(2004)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
26 pages included 14 figures, to appear in J. Phys. Soc. Jpn. vol. 73 No.1
Scientific paper
10.1143/JPSJ.73.163
We study correlation effects on the transport through a quantum dot superlattice using a two-dimensional Hubbard model connected to two noninteracting leads. To calculate the zero-temperature conductance away from half-filling, we have used the non-magnetic solution of the Hartree-Fock approximation for the unperturbed Green's function, and then take into account the electron correlation beyond the mean field theory through the second-order self-energy corrections with respect to the residual interaction. When the value of the onsite potential $\epsilon_d$ or the repulsion $U$ is changed, the conductance shows a number of peaks corresponding to the resonance states passing through the Fermi energy. The behavior of the resonance states for correlated electrons can be investigated using the eigenvalue of the effective Hamiltonian for a quasi-particle of a local Fermi liquid. We calculate the eigenvalue using the second-order self-energy, and show explicitly that it can be compared with the conductance peak.
Oguri Akira
Tanaka Yoshihide
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