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非平衡相互作用耦合纳米导体中的有效平衡

Effective Equilibrium in Out-of-Equilibrium Interacting Coupled Nanoconductors.

作者信息

Maisel Lucas, López Rosa

机构信息

Institut de Física Interdisciplinària i de Sistemes Complexos IFISC (CSIC-UIB), E-07122 Palma de Mallorca, Spain.

出版信息

Entropy (Basel). 2019 Dec 19;22(1):8. doi: 10.3390/e22010008.

DOI:10.3390/e22010008
PMID:33285784
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7516514/
Abstract

In the present work, we study a mesoscopic system consisting of a double quantum dot in which both quantum dots or artificial atoms are electrostatically coupled. Each dot is additionally tunnel coupled to two electronic reservoirs and driven far from equilibrium by external voltage differences. Our objective is to find configurations of these biases such that the current through one of the dots vanishes. In this situation, the validity of the fluctuation-dissipation theorem and Onsager's reciprocity relations has been established. In our analysis, we employ a master equation formalism for a minimum model of four charge states, and limit ourselves to the sequential tunneling regime. We numerically study those configurations far from equilibrium for which we obtain a stalling current. In this scenario, we explicitly verify the fluctuation-dissipation theorem, as well as Onsager's reciprocity relations, which are originally formulated for systems in which quantum transport takes place in the linear regime.

摘要

在本工作中,我们研究了一个由双量子点组成的介观系统,其中两个量子点或人工原子通过静电相互耦合。每个量子点还通过隧穿与两个电子库相连,并由外部电压差驱动至远离平衡态。我们的目标是找到这些偏置的配置,使得通过其中一个量子点的电流消失。在这种情况下,涨落耗散定理和昂萨格互易关系的有效性已经得到确立。在我们的分析中,我们采用主方程形式来描述一个具有四个电荷态的最小模型,并将自己限制在顺序隧穿区域。我们对那些远离平衡态且获得停滞电流的配置进行了数值研究。在这种情况下,我们明确验证了涨落耗散定理以及昂萨格互易关系,这些关系最初是为量子输运发生在线性区域的系统而制定的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/0e6c06ff68ae/entropy-22-00008-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/e63920ed8465/entropy-22-00008-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/4602ab2ab791/entropy-22-00008-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/dd8481fdeede/entropy-22-00008-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/d4ee1e8f2049/entropy-22-00008-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/7aaf7c2863b5/entropy-22-00008-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/0e6c06ff68ae/entropy-22-00008-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/e63920ed8465/entropy-22-00008-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/4602ab2ab791/entropy-22-00008-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/dd8481fdeede/entropy-22-00008-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/d4ee1e8f2049/entropy-22-00008-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/7aaf7c2863b5/entropy-22-00008-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5eaa/7516514/0e6c06ff68ae/entropy-22-00008-g006.jpg

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