Interaction effect on adiabatic pump of charge and spin in quantum dot

Abstract

We investigate the pumped charge and spin at zero-bias by adiabatic modulation of two control parameters using the full counting statistics with quantum master equation approach. First we study higher order effects of the pumping frequency in general Markov systems and show the equivalence between our approach and the real-time diagrammatic approach. An adiabatic modulation of the control parameters induces the Berry-Sinitsyn-Nemenman (BSN) phase. We show that the origin of the BSN phase is a non-adiabatic effect. The adiabatically pumped charge (spin) is given by a summation of (i) a time integral of the instantaneous steady charge (spin) current and (ii) a geometric surface integral of the BSN curvature, which results from the BSN phase. In quantum dots (QDs) weakly coupled to two leads, we show that (i) is usually dominant if the thermodynamic parameters are modulated although it is zero if the thermodynamic parameters are fixed to zero-bias. To observe the spin effects, we consider collinear magnetic fields, which relate to spins through the Zeeman effect, with different amplitudes applying to the QDs and the leads. For interacting one level QD, we calculate analytically the pumped charge and spin by modulating the magnetic fields and the coupling strengths to the leads in the weak and strong interacting limits. We show that the difference between these two limits appears through the averages of the numbers of the electron with up and down spin in the QD. For the quantum pump by the modulation of the magnetic fields of the QD and one lead, the energy-dependences of linewidth functions, which are usually neglected, are essential.

arXiv comment18 pages, 3 figures, corrected typos

References in corpus (48)

• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Scattering approach to parametric pumping
• Experimental Realization of a Quantum Spin Pump
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Tunneling through molecules and quantum dots: master-equation approaches
• Adiabatic approximation in open quantum systems
• Quantum master equation approach to quantum transport through mesoscopic systems
• Geometry, Statistics and Asymptotics of Quantum Pumps
• Counting statistics for arbitrary cycles in quantum pumps
• Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
• Non-adiabatic quantized charge pumping with tunable-barrier quantum dots: a review of current progress
• Adiabatic pumping through interacting quantum dots
• Preservation of Positivity by Dynamical Coarse-Graining
• Experimental determination of the Berry phase in a superconducting charge pump
• A Josephson Quantum Electron Pump
• Density-operator approaches to transport through interacting quantum dots: Simplifications in fourth-order perturbation theory
• Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
• A two-atom electron pump
• Effect of inelastic scattering on parametric pumping
• A self-referenced single-electron quantized-current source
• Thermoelectric performance of a driven double quantum dot
• Pumping at resonant transmission and transferred charge quantization
• Counting Statistics of an Adiabatic Pump
• Coarse-Graining Can Beat the Rotating Wave Approximation in Quantum Markovian Master Equations
• Non-adiabatic pumping through interacting quantum dots
• Geometrical Expression of Excess Entropy Production
• Charge pumping in carbon nanotube quantum dots
• Symmetries, superselection rules, and decoherence
• Adiabatic spin pumping through a quantum dot with a single orbital level
• Adiabatic Pumping in Interacting Systems
• Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
• Noise through Quantum Pumps
• Adiabatic pumping in the mixed-valence and Kondo regimes
• Interaction-induced adiabatic non-linear transport
• Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots
• Charge and spin pumping through a double quantum dot
• Interaction-induced charge and spin pumping through a quantum dot at finite bias
• Geometrical Excess Entropy Production in Nonequilibrium Quantum Systems
• Non-adiabatic effect on the quantum heat flux control
• Full Counting Statistics for Number of Electrons Dwelling in a Quantum Dot
• Quantized Charge Pumping through a Carbon Nanotube Double Quantum Dot
• Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices
• Adiabatic pumping through a quantum dot in the Kondo regime: Exact results at the Toulouse limit
• Theory of spin pumping through an interacting quantum dot tunnel coupled to a ferromagnet with time-dependent magnetization
• Non-adiabatic effect in quantum pumping for a spin-boson system
• Non-adiabatic pumping of single electrons affected by magnetic fields
• Coherent superconducting quantum pump
• An expression of excess work during transition between nonequilibrium steady states

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