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We explain the Fano peak (an asymmetric resonance peak) as an interferenceeffect involving resonant states. We reveal that there are three types of Fanoasymmetry according to their origins: the interference between a resonant stateand 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 theasymmetric energy dependence given by Fano, but the first one shows a slightlydifferent form. In order to show the above, we analytically and microscopicallyderive a formula where we express the conductance purely in terms of thesummation over all discrete eigenstates including resonant states andanti-resonant states, without any background integrals. We thereby obtainmicroscopic expressions of the Fano parameters that describe the three types ofthe Fano asymmetry. One of the expressions indicate that the corresponding Fanoparameter becomes complex under an external magnetic field.

Resonant Spectrum Analysis of the Conductance of Open Quantum System and Three Types of Fano Parameter