Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-05-25
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
29 pages, 22 figures, considerably expanded from the first version, this time with corrections of references. To be published
Scientific paper
We explain the Fano peak (an asymmetric resonance peak) as an interference effect involving resonant states. We reveal that there are three types of Fano asymmetry according to their origins: the interference between a resonant state and an anti-resonant state, that between a resonant state and a bound state, and that between two resonant states. We show that the last two show the asymmetric energy dependence given by Fano, but the first one shows a slightly different form. In order to show the above, we analytically and microscopically derive a formula where we express the conductance purely in terms of the summation over all discrete eigenstates including resonant states and anti-resonant states, without any background integrals. We thereby obtain microscopic expressions of the Fano parameters that describe the three types of the Fano asymmetry. One of the expressions indicate that the corresponding Fano parameter becomes complex under an external magnetic field.
Hatano Naomichi
Ordonez Gonzalo
Sasada Keita
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