Statistical fluctuations of pumping and rectification currents in quantum dots
arXiv:cond-mat/0309197 · doi:10.1103/PhysRevB.69.085301
Abstract
We investigate the statistical fluctuations of currents in chaotic quantum dots induced by pumping and rectification at finite temperature and in the presence of dephasing. In open quantum dots, dc currents can be generated by the action of two equal-frequency ac gate voltages. The adiabatic regime occurs when the driving frequency is smaller than the electron inverse dwell time. Using numerical simulations complemented by semiclassical calculations, we consider both limits of small and large number of propagating channels in the leads when time-reversal symmetry is fully broken. We find that at intermediate temperature regimes, namely, $k_BT \alt Δ$, where is the mean single-particle level spacing, thermal smearing suppresses the current amplitude more effectively than dephasing. Motivated by recent theoretical and experimental works, we also study the statistics of rectified currents in the presence of a parallel, Zeeman splitting, magnetic field.
RevTex 4, 13 pages, 12 figures
References in corpus (22)
- Scattering approach to parametric pumping
- An Adiabatic Quantum Electron Pump
- Experimental Realization of a Quantum Spin Pump
- Mesoscopic mechanism of adiabatic charge transport
- An Adiabatic Quantum Pump of Spin Polarized Current
- Quantum mechanical time-delay matrix in chaotic scattering
- Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
- Charge Pumping and Photovoltaic effect in Open Quantum Dots
- Pumping spin with electrical fields
- Rectification of displacement currents in an adiabatic electron pump
- Spin and Polarized Current from Coulomb Blockaded Quantum Dots
- Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
- Distributions of the Conductance and its Parametric Derivatives in Quantum Dots
- Effect of inelastic scattering on parametric pumping
- Mesoscopic effects in adiabatic spin pumping
- Quantum transport through ballistic cavities: soft vs. hard quantum chaos
- Distribution of parametric conductance derivatives of a quantum dot
- Global versus local billiard level dynamics: The limits of universality
- Dephasing in a quantum pump
- Conductance fluctuations and weak localization in chaotic quantum dots
- On the semiclassical theory for universal transmission fluctuations in chaotic systems: the importance of unitarity
- Semiclassical limit of universal parametric density correlations
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