Effect of Electron Interaction on Statistics of Conductance Oscillations in Open Quantum Dots: Does the Dephasing Time Saturate?

Abstract

We perform self-consistent quantum transport calculations in open quantum dots taking into account the effect of electron interaction. We demonstrative that in the regime of the ultralow temperatures $2\pi k_{B}T\lesssim \Delta$ ($\Delta$ being the mean level spacing), the electron interaction strongly affects the conductance oscillations and their statistics leading to a drastic deviation from the corresponding predictions for noninteracting electrons. In particular, it causes smearing of conductance oscillations, which is similar to the effect of temperature or inelastic scattering. For $2\pi k_{B}T\gtrsim \Delta$ the influence of electron interaction on the conductance becomes strongly diminished. Our calculations (that are free from phenomenological parameters of the theory) are in good quantitative agreement with the observed ultralow temperature statistics (Huibers \textit{et al.}, Phys. Rev. Lett. \textbf{81}, 1917 (1998)). Our findings question a conventional interpretation of the ultralow temperature saturation of the coherence time in open dots which is based on the noninteracting theories where the electron interaction is neglected and the agrement with the experiment is achieved by introducing additional phenomenological channels of dephasing.

References in corpus (16)

• Random-Matrix Theory of Quantum Transport
• The Statistical Theory of Quantum Dots
• Intrinsic Decoherence in Mesoscopic Systems
• Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
• Universal Quantum Signatures of Chaos in Ballistic Transport
• Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
• How Phase-Breaking Affects Quantum Transport Through Chaotic Cavities
• Distributions of the Conductance and its Parametric Derivatives in Quantum Dots
• Low-Temperature Saturation of the Dephasing Time and Effects of Microwave Radiation on Open Quantum Dots
• Spin Degeneracy and Conductance Fluctuations in Open Quantum Dots
• Conductance of a quantum point contact based on spin-density-functional theory
• Effects of electron-electron interaction on the conductance of open quantum dots
• Microwave-Induced Dephasing in One-Dimensional Metal Wires
• Weak Coulomb blockade effect in quantum dots
• Nonlinear resonant tunneling in systems coupled to quantum reservoirs
• Spin splitting in open quantum dots

Cited by in corpus (7)

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• Electron-electron interactions in antidot-based Aharonov-Bohm interferometers
• Origin of the 0.25-anomaly in the nonlinear conductance of a quantum point contact
• Spin polarization in modulation-doped GaAs quantum wires
• Magnetoconductance of interacting electrons in quantum wires: Spin density functional theory study
• First-principles study of electron transport in few-electron open quantum dots by the Hartree-Fock approach