Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-07-26
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 2 figures, proceeding of the 19th International Conference on the Application of High Magnetic Fields in Semiconducto
Scientific paper
We study theoretically dynamic response of a mesoscopic capacitor, which consists of a quantum dot connected to an electron reservoir via a point contact and capacitively coupled to a gate voltage. A quantum Hall edge state with a filling factor nu is realized in a strong magnetic field applied perpendicular to the two-dimensional electron gas. We discuss a noise-driven quantum phase transition of the transport property of the edge state by taking into account an ohmic bath connected to the gate voltage. Without the noise, the charge relaxation for nu>1/2 is universally quantized at R_q=h/(2e^2), while for nu<1/2, the system undergoes the Kosterlitz-Thouless transtion, which drastically changes the nature of the dynamical resistance. The phase transition is facilitated by the noisy gate voltage, and we see that it can occur even for an integer quantum Hall edge at nu=1. When the dissipation by the noise is sufficiently small, the quantized value of R_q is shifted by the bath impedance.
Hamamoto Yuji
Jonckheere Thibaut
Kato Takeo
Martin Thierry
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