Statistical and dynamical phases in cotunneling current through an antidot

Alessandro Braggio

INFM-CNR, Italy

Cotunneling current through an antidot in the fractional quantum Hall regime is studied in order to extract information on the fractional statistics of quasi particle for the Laughlin series. It is shown that when the energy of the antidot neutral excitations is larger than the charging energy it is possible to capture unambiguous informations about the statistical angle from the dependence of the cotunneling current on the position of the tunneling points. This peculiar geometrical effect is interpreted as the result of coherent exchange of quasiparticles. Its rubustness is studied in the presence of electron-phonon coupling which could hide the above effect by introducing a disturbing dynamical phase. This setup is an alternative proposal to the Mach-Zender configuration in order to directly measure the effects of fractional statistics in the current.