Quantum phase transition of dynamical resistance in a mesoscopic capacitor

摘要: We study theoretically dynamic response of a mesoscopic capacitor, which consists quantum dot connected to an electron reservoir via point contact and capacitively coupled gate voltage. A Hall edge state with filling factor ν is realized in strong magnetic field applied perpendicular the two-dimensional gas. discuss noise-driven phase transition transport property by taking into account ohmic bath Without noise, charge relaxation resitance for > 1/2 universally quantized at Rq = h/(2e2ν), while < 1/2, system undergoes Kosterlitz-Thouless transition, drastically changes nature dynamical resistance. The facilitated noisy voltage, we see that it can occur even integer 1. When dissipation noise sufficiently small, value shifted impedance.