Far-From-Equilibrium Quantum Transport

2017 ◽  
pp. 493-598
Author(s):  
Dragica Vasileska ◽  
Stephen M. Goodnick ◽  
Gerhard Klimeck
Entropy ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 8 ◽  
Author(s):  
Lucas Maisel ◽  
Rosa López

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.


Author(s):  
Juan P. Mendez ◽  
Denis Mamaluy ◽  
Xujiao Gao ◽  
Evan M. Anderson ◽  
DeAnna M. Campbell ◽  
...  
Keyword(s):  

Author(s):  
Klaus Morawetz

The method of the equation of motion is used to derive the Martin–Schwinger hierarchy for the nonequilibrium Green’s functions. The formal closure of the hierarchy is reached by using the selfenergy which provides a recipe for how to construct selfenergies from approximations of the two-particle Green’s function. The Langreth–Wilkins rules for a diagrammatic technique are shown to be equivalent to the weakening of initial correlations. The quantum transport equations are derived in the general form of Kadanoff and Baym equations. The information contained in the Green’s function is discussed. In equilibrium this leads to the Matsubara diagrammatic technique.


Author(s):  
Branislav K. Nikolić ◽  
Kapildeb Dolui ◽  
Marko D. Petrović ◽  
Petr Plecháč ◽  
Troels Markussen ◽  
...  

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Ricardo Román-Ancheyta ◽  
Barış Çakmak ◽  
Roberto de J. León-Montiel ◽  
Armando Perez-Leija

2020 ◽  
Vol 67 (12) ◽  
pp. 5662-5668
Author(s):  
Adel M'foukh ◽  
Marco G. Pala ◽  
David Esseni

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