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A recently proposed analytical solution for the equations of motion of the one-body Green function of the double quantum dot is extended to the out-of-equilibrium situation. By solving a linear system for the density correlators, not only…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Nahual Sobrino , David Jacob , Stefan Kurth

We study non-equilibrium electron transport through a quantum dot coupled to metallic leads. We use an alternative equation of motion approach in which we calculate the retarded Green function of the impurity by differentiating Green…

Mesoscale and Nanoscale Physics · Physics 2014-12-23 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

A fully analytical approach based on the equation of motion technique to investigate the spectral properties and orbital occupations in an interacting double quantum dot in equilibrium is presented. By solving a linear system for the…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Nahual Sobrino , David Jacob , Stefan Kurth

We investigate the thermoelectric transport properties of an interacting parallel double quantum dot in the Coulomb-blockade regime. Building on an analytical solution based on an equation-of-motion technique, we extend the formalism for…

Mesoscale and Nanoscale Physics · Physics 2025-10-24 Nahual Sobrino

We investigate theoretically nonequilibrium quantum transport in a quantum dot attached to a Majorana bound state. Our approach is based on the Keldysh Green's function formalism, which allows us to investigate the electric current…

Strongly Correlated Electrons · Physics 2014-03-17 S. J. S. da Silva , A. C. Seridonio , J. Del Nero , F. M. Souza

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 investigate the spectral and transport properties of parallel double-quantum-dot (DQD) system with interdot tunneling coupling in both the equilibrium and nonequilibrium cases. The special geometry of DQD system is considered, in which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu , Zhi-Rong Liu , Guang-Ming Zhang

Quantum transport through single molecules is very sensitive to the strength of the molecule-electrode contact. When a molecular junction weakly coupled to external electrodes, charging effects do play an important role (Coulomb blockade…

Mesoscale and Nanoscale Physics · Physics 2007-10-03 Bo Song

We explore electron transport through a quantum dot coupled to the source and drain charge reservoirs We trace the transition from the Coulomb blockade regime to Kondo regime in the electron transport through the dot occuring when we…

Strongly Correlated Electrons · Physics 2008-10-24 Natalya A. Zimbovskaya

Nonequilibrium electronic transport through a quantum dot coupled to ferromagnetic leads (electrodes) is studied theoretically by the nonequilibrium Green function technique. The system is described by the Anderson model with arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Swirkowicz , M. Wilczynski , J. Barnas

We study a double quantum dot in the regime where each dot carries a spin-1/2. This system is described by the 2-impurity Kondo model, having a non-Fermi liquid fixed point for a critical value of the inter-impurity coupling. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

We derive a formula for the current through an interacting quantum dot coupled to two supercouducting leads, using the non-equilibrium Green's function formalism. It is shown that the formula takes an especially simple form, when the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang

We have studied theoretically the Kondo effect in the quantum dot(QD) within the whole range of temperature by using the equation-of-motion(EOM) technique based on the non-equilibrium Green function formalism. We have taken the finiteness…

Strongly Correlated Electrons · Physics 2012-09-12 Kuk-Chol Ri , Chol-Won Ri , Gum-Hyok Jong

We present finite bias transport measurements on a few-electron quantum dot. In the Coulomb blockade regime, strong signatures of inelastic cotunneling occur which can directly be assigned to excited states observed in the non-blockaded…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Schleser , T. Ihn , E. Ruh , K. Ensslin , M. Tews , D. Pfannkuche , D. C. Driscoll , A. C. Gossard

A pedagogical introduction to matrix Green's function, focusing on its application to steady state transport through discrete-level quantum systems. Topics covered in the notes: 1. Retarded Green's function, spectral function and density of…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Longwen Zhou

Spin and charge transport through a quantum dot coupled to external nonmagnetic leads is analyzed theoretically in terms of the non-equilibrium Green function formalism based on the equation of motion method. The dot is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. Swirkowicz , J. Barnas , M. Wilczynski

We theoretically investigate charge transport through serial double quantum dots (SDQDs) with strong electron correlations using nonequilibrium Green's function techniques. In the linear response regime, we compute the charge stability…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 David M T Kuo

Using Green's function equation of motion within Lacroix decoupling scheme, we examine the thermoelectric transport features of a strongly interacting quantum dot coupled between metallic leads. We demonstrate that a qualitative description…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Sachin Verma , B. S. Tewari , A. Dhyani , Ajay

We developed a set of equations to calculate the electronic Green's functions in a T-shaped multi-quantum dot system using the equation of motion method. We model the system using a generalized Anderson Hamiltonian which accounts for {\em…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 I. Tifrea , G. Pal , M. Crisan

We calculate the charge susceptibility and the linear and differential conductances of a double quantum dot coupled to two metallic reservoirs both at equilibrium and when the system is driven away from equilibrium. This work is motivated…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 V. Talbo , M. Lavagna , T. Q. Duong , A. Crépieux
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