Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots

Abstract

Adiabatic quantum pumping in noninteracting, phase coherent quantum dots is elegantly described by Brouwer's formula. Interactions within the dot, while suppressing phase coherence, make Brouwer's formalism inapplicable. In this paper, we discuss the nature of the physical processes forcing a description of pumping beyond Brouwer's formula, and develop, using a controlled adiabatic expansion, a useful formalism to study the effect of interactions within a generic perturbative scheme. The pumped current consists of a first contribution, analogous to Brouwer's formula and accounting for the remanent coherence, and of interaction corrections describing inelastic scattering. We apply the formalism to study the effect of interaction with a bosonic bath on a resonant level pump and discuss the robustness of the quantization of the pumped charge in turnstile cycles.

4.1 pages, 1 figure, revised version

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• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Adiabatic pumping through interacting quantum dots
• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Resonance approximation and charge loading/unloading in adiabatic quantum pumping
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• Charge pumping in strongly-coupled molecular quantum dots
• Memory effects in adiabatic quantum pumping with parasitic nonlinear dynamics
• Parasitic pumping currents in an interacting quantum dot
• Adiabatic quantum pumping and rectification effects in interacting quantum dots