Polar pumped current in quantum nano rings
By applying electric harmonic signals on two point of a quantum ring with phase difference , the induced current is calculated theoretically. The method is based on defining all the operators in the Hilbert space of side band states defined in terms of Floquet theorem. Using this method, we have calculated the electronic pumped current as a function of phase difference of applied electric signals. By controlling on phase difference, it is shown that a polar pumped current can be induced in quantum ring.