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Non-equilibrium electronic transport through a quantum dot with strong Coulomb repulsion in the presence of a magnetic field

DOI:10.1088/1361-648X/ab5ce7 期刊:Journal of Physics: Condensed Matter 出版年份:2019 更新时间:2025-09-12 10:27:22
摘要: The non-equilibrium electronic transport through a nanoscale device composed of a single quantum dot between two metallic contacts is studied theoretically within the framework of the Keldysh formalism. The quantum dot consists of a single energy level subject to an applied magnetic field. Correlations due to the Coulomb repulsion between electrons on the dot are treated with a Green’s function decoupling scheme which, although similar to the Hubbard-I approximation, captures some of the dynamics beyond. The scheme is exact in the so-called atomic limit, defined by vanishing tunneling between contacts and dot, and in the non-interacting limit, where the on-dot Coulomb repulsion is zero. Explicit analytic solutions, valid for arbitrary magnetic fields, are obtained for two important setups: (i) the stationary regime, with constant voltage bias between the leads, and (ii) the time-dependent regime for metallic leads with constant density of states of infinite width. In these regimes, the current through the dot is evaluated numerically for various parameter sets and its main features interpreted in terms of the underlying physical processes. The results are compared to the non-crossing approximation (NCA) and diagrammatic non-equilibrium quantum Monte-Carlo (QMC) where available.
作者: Denis Zhuravel,Dmitry V. Anchishkin,Roland Hayn,Pierre Lombardo,Steffen Sch?fer
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Investigating the non-equilibrium electronic transport through a quantum dot with strong Coulomb repulsion in the presence of a magnetic field.

The study provides explicit analytic solutions for the current through a quantum dot in the presence of a magnetic field and strong Coulomb repulsion, valid for arbitrary magnetic fields. The results show stepwise current rise with voltage bias, affected by the magnetic field through Zeeman splitting. The method is stable and computationally economical, suitable for various experimental setups.

The study focuses on large Coulomb repulsion and does not account for phonon contributions, which may affect the spectra. The method is exact in the atomic limit and non-interacting limit but approximative otherwise.

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