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We study the transport properties of a quantum dot contacted to two superconducting reservoirs by means of the Keldysh field theory approach, showing how this technique allows us to straightforwardly recover previous results, resulting…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Marco Uguccioni , Luca Dell'Anna

Quantum dots are versatile systems for exploring quantum transport, electron correlations, and many-body phenomena such as the Kondo effect. While equilibrium properties are well understood through methods like the numerical renormalization…

Strongly Correlated Electrons · Physics 2026-01-06 Gustavo Diniz , Silvio Quintino , Vivian V. França

We study the interacting quantum dot coupled to the normal and superconducting leads by means of a continuous-time quantum Monte Carlo method in the Keldysh-Nambu formalism. Deducing the steady current through the quantum dot under a finite…

Strongly Correlated Electrons · Physics 2014-11-10 Akihisa Koga

Based on the super-fermion representation of quantum kinetic equations we develop nonequilibrium, post-Hartree-Fock many-body perturbation theory for the current through a region of interacting electrons. We apply the theory to out of…

Mesoscale and Nanoscale Physics · Physics 2011-04-26 Alan A. Dzhioev , D. S. Kosov

We consider a quantum dot, affected by a local vibrational mode and contacted to macroscopic leads, in the non-equilibrium steady-state regime. We apply a variational Lang-Firsov transformation and solve the equations of motion of the Green…

Strongly Correlated Electrons · Physics 2015-05-28 T. Koch , J. Loos , A. Alvermann , H. Fehske

We have formulated the problem of electron transport through interacting quantum dot system in the framework of self-consistent perturbation theory, and show that the current conservation condition is guaranteed due to the gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Guo-Hui Ding , Bing Dong

We present a new approach to treat correlations in nonequilibrium quantum many-particle system. The method is based on ideas of configuration interaction theory of exact nonperturbative ground state electronic structure calculations. We use…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Alan A. Dzhioev , D. S. Kosov

A multi-level Anderson model is employed to simulate the system of a nanostructure tunnel junction with any number of one-particle energy levels. The tunneling current, including both shell-tunneling and shell-filling cases, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 David M. -T. Kuo , Yia-Chung Chang

The spin-resolved thermoelectric transport properties of correlated nanoscale junctions, consisting of a quantum dot/molecule asymmetrically coupled to external ferromagnetic contacts, are studied theoretically in the far-from-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2023-07-21 Anand Manaparambil , Ireneusz Weymann

We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We derive expression for the corresponding current the carriers of…

Mathematical Physics · Physics 2019-12-10 Pavel Exner , Hagen Neidhardt , Milos Tater , Valentin A. Zagrebnov

We present a combined theoretical approach to study the nonequilibrium transport properties of nanoscale systems coupled to metallic electrodes and exhibiting strong electron-phonon interactions. We use the Keldysh Green function formalism…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. C. Monreal , F. Flores , A. Martin-Rodero

Non equilibrium Green's function methods are regularly used to calculate current and charge densities in nanoscale (both molecular and semiconductor) conductors under bias. This method is mainly used for ballistic conduction but may be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Paulsson

The transport properties of a conduction junction model characterized by two mutually coupled channels that strongly differ in their couplings to the leads are investigated. Models of this type describe molecular redox junctions (where a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Alexander J. White , Agostino Migliore , Michael Galperin , Abraham Nitzan

I review the quantum theory of the electron moving in a random environment. First, the quantum mechanics of individual particles scattered on a random potential is discussed. The quantum-mechanical description is extended to many-body…

Disordered Systems and Neural Networks · Physics 2021-09-13 Václav Janiš

We study the transport properties of a voltage-biased Josephson junction where the BCS superconducting leads are coupled via the edges of a quantum Hall sample. In this scenario, an out of equilibrium Josephson current develops, which is…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Non-equilibrium Green's function (NEGF) and quantum master equation (QME) are two main classes of approaches for electronic transport. We discuss various Floquet variances of these formalisms for transport properties of a quantum dot driven…

Quantum Physics · Physics 2024-04-10 Vahid Mosallanejad , Yu Wang , Wenjie Dou

In this review article, we present a non-equilibrium quantum transport theory for transient electron dynamics in nanodevices based on exact master equation derived with the path integral method in the fermion coherent-state representation.…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Pei-Yun Yang , Wei-Min Zhang

We consider a small interacting sample coupled to several non-interacting leads. Initially, the system is at thermal equilibrium. At some instant $t_0$ the system is set into the so called partition-free transport scenario by turning on a…

Mathematical Physics · Physics 2019-01-24 H. D. Cornean , V. Moldoveanu , C. -A. Pillet

(Dated: July 17, 2017) We calculate the electric charge current flowing through a vibrating molecular nanojunction, which is driven by an ac voltage, in its regime of nonlinear oscillations. Without loss of generality, we model the junction…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 Vicente Leyton , Stephan Weiss , Michael Thorwart

In realistic nanoelectronics, disordered impurities/defects are inevitable and play important roles in electron transport. However, due to the lack of effective quantum transport method to do disorder average, the important effects of…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Jiawei Yan , Youqi Ke
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