Dephasing Due to a Fluctuating Fractional Quantum Hall Edge Current
نویسنده
چکیده
The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on the bias voltage applied to the neighboring quantum point contact, because of the Luttinger liquid physics which describes the fractional Hall fluid. Next, we describe exactly the weak to strong backscattering crossover using the Bethe-Ansatz solution.
منابع مشابه
Edge tunneling and transport in non-abelian fractional quantum Hall systems
Several aspects of tunneling at the edge of a fractional quantum Hall (FQH) state are studied. Most examples are given for the non-abelian filling fraction ν = 5 2 Moore-Read Pfaffian state. For tunneling between opposite edges of an abelian fractional quantum Hall state at a quantum point contact, the perturbative calculation of tunneling current, conductance, and current noise, as a function ...
متن کاملMesoscopic effects in the fractional quantum Hall regime
Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the persistent current and Aharonov-Bohm magnetoconductance oscillations in the fractional quantum Hall effect regime.
متن کاملQuasi-particles in Fractional Quantum Hall Effect Edge Theories
We propose a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. For the edge of a Laughlin state with filling fraction ν = 1 m , our fundamental quasi-particles are edge electrons of charge −e and edge quasi-holes of charge + e m . These quasi-particles satisfy exclusion statistics in the sense of Haldane. We exploit algebraic properties of edge electr...
متن کاملFractionalization noise in edge channels of integer quantum Hall states.
A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor ν=2. Because of the capacitive coupling between the channels, a tunneling event, in which an electron is transferred from a biased source lead to one of the two channels, generates propagating plasma mode excitations ...
متن کاملJosephson Current and Noise at a Superconductor/Quantum-Spin-Hall-Insulator/Superconductor Junction
We study junctions between superconductors mediated by the edge states of a quantum-spin-Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4π rather than a 2π periodicity. This effect is a consequence of the conservation of fermion parity—the number of electron mod 2—in a superconducting junction and is closely related t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008