Attractive and driven interaction in quantum dots: mechanisms for geometric pumping

Abstract

We analyze time-dependent transport through a quantum dot with electron-electron interaction that is statically tunable to both repulsive and attractive regimes, or even dynamically driven. Motivated by the recent experimental realization [Hamo et. al, Nature 535, 395 (2016)] of such a system in a static double quantum dot we compute the geometric pumping of charge in the limit of weak tunneling, high temperature and slow driving. We analyze the pumping responses for all pairs of driving parameters (gate voltage, bias voltage, tunnel coupling, electron-electron interaction). We show that the responses are analytically related when these different driving protocols are governed by the same pumping mechanism, which is characterized by effective driving parameters that differ from the experimental ones. For static attractive interaction we find a characteristic pumping resonance despite the 'attractive Coulomb blockade' that hinders stationary transport. Moreover, we identify a pumping mechanism that is unique to driving of the interaction. Finally, although a single-dot model with orbital pseudo-spin describes most of the physics of the mentioned experimental setup, it is crucial to account for the additional (real-) spin degeneracies of the double dot and the associated electron-hole symmetry breaking. This is necessary because the pumping response is more sensitive than DC transport measurements and detects this difference through pronounced qualitative effects.

arXiv comment27 pages, 12 figures

References in corpus (24)

• Scattering approach to parametric pumping
• Theory of Transport through Quantum-Dot Spin Valves in the Weak-Coupling Regime
• Thermoelectric transport through strongly correlated quantum dots
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Interaction-driven spin precession in quantum-dot spin valves
• Electron Attraction Mediated by Coulomb Repulsion
• Coherence and Partial Coherence in Interacting Electron Systems
• Pair tunneling through single molecules
• Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads
• Spintronic magnetic anisotropy
• Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Mechanism for large thermoelectric power in negative-U molecular quantum dots
• Adiabatic response for Lindblad dynamics
• Quantum response of dephasing open systems
• Tunable electron-electron interactions in LaAlO3/SrTiO3 nanostructures
• Nonequilibrium charge-Kondo transport through negative-U molecules
• Fermion-parity duality and energy relaxation in interacting open systems
• Interaction-induced adiabatic non-linear transport
• Charge and spin pumping through a double quantum dot
• Micrometer-scale ballistic transport of electron pairs in LaAlO3/SrTiO3 nanowires
• Interaction-induced charge and spin pumping through a quantum dot at finite bias
• Interaction effect on adiabatic pump of charge and spin in quantum dot
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems

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• Limitations of Caldeira-Leggett model for description of phase transitions in superconducting circuits
• Transport fluctuation relations in interacting quantum pumps
• Adiabatic almost-topological pumping of fractional charges in non-interacting quantum dots
• Pumped heat and charge statistics from Majorana braiding
• Non-geometric pumping effects on the performance of interacting quantum-dot heat engines
• Quantum phase transitions in superconductor--quantum-dot--superconductor Josephson structures with attractive intradot interaction
• Three-electron bunches in occupation of a 5-site Coulomb cluster