Effects of interference and inelastic scattering in Aharonov-Bohm ring with quantum dot

Interference effects are studied in an Aharonov-Bohm ring with a quantum dot within a one-dimensional model with effects of phase-breaking scattering. When a dot level crosses the Fermi level, the phase of the reflection coefficient changes over a wide range, inducing a resonance in various regions of the ring. Such reflection effects compete with those of resonant transmission through the dot. The peak asymmetry is determined by a combination of these effects and therefore exhibits a complicated behavior even as a function of the phase coherence length.