The influences of long range Coulomb interaction on the electronic Mach-Zehnder interferometer of quantum Hall edge states

The influences of long range Coulomb interaction (LRCI) on Mach-Zehnder interferometer (MZI) constructed on quantum Hall edge states is studied employing bosonization method. The interaction of interchannel zero-modes is shown to give rise to a characteristic energy scale which is of the order of the period of experimentally observed lobe pattern of visibility. The nonmonotonic behavior of visibility as found Chalker \textit{et al.} is understood analytically using asymptotic analysis.