Scattering approach to parametric pumping

Abstract

A d.c. current can be pumped through a quantum dot by periodically varying two independent parameters $X_1$ and $X_2$, like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives of the scattering matrix $S(X_1,X_2)$ of the system. As an application we compute the statistical distribution of the pumped current in the case of a chaotic quantum dot.

4 pages, RevTeX; 3 figures included; Submitted to Physical Review B

References in corpus (5)

• Random-Matrix Theory of Quantum Transport
• Quantum mechanical time-delay matrix in chaotic scattering
• Adiabatic charge pumping in almost open dots
• Photon-Assisted Transport Through Ultrasmall Quantum Dots: Influence of Intradot Transitions
• Distribution of parametric conductance derivatives of a quantum dot

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• Adiabatic Cooper-Pair Pumping in a Linear Array of Cooper Pair Boxes
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice
• Energy transport and heat production in quantum engines
• Structure-dynamics relationship in ratcheted colloids: Resonance melting, dislocations, and defect clusters
• Punchets: nonlinear transport in Hamiltonian pump-ratchet hybrids
• Adiabatic charge pumping in open quantum systems
• A Quantum Singlet Pump
• Open quantum dynamics of Josephson charge pumps
• Geometric phases of scattering states in a ring geometry: adiabatic pumping in mesoscopic devices
• Dynamical Resonances and Stepped Current in an Attractive Quantum Pump
• Adiabatic quantum pumping in an Aharonov-Bohm loop and in a Si-like nanowire: Role of interference in real space and in momentum space
• Geometric Bounds on the Power of Adiabatic Thermal Machines
• Applications of adiabatic passage in solid-state devices
• Optimal control over the full counting statistics in a non-adiabatic pump
• Rectified voltage induced by a microwave field in a confined two-dimensional electron gas with a mesoscopic static vortex
• Dynamical Spin-Orbit-Based Spin Transistor
• Topological power pumping in quantum circuits
• Quantum Phase Pumping
• Stochastic models of classical particle pumps : Density dependence of directed current