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Based on the algebraic equation of motion (AEOM) method, we investigate the transport properties of a quantum dot. We obtain an analytical expression for the dot electron single-particle Green's function, and based on this expression, we…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Jiangqi Mao , Houmin Du , Yuliang Liu

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

In this work we analyze the nonequilibrium transport through a quantum impurity (quantum dot or molecule) attached to ferromagnetic leads by using a hybrid numerical renormalization group-time-dependent density matrix renormalization group…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Anand Manaparambil , Andeas Weichselbaum , Jan von Delft , Ireneusz Weymann , .

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

The quantum dot asymmetrically coupled to the external leads has been analysed theoretically by means of the equation of motion (EOM) technique and the non-crossing approximation (NCA). The system has been described by the single impurity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Krawiec , K. I. Wysokinski

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 study steady state transport through a double quantum dot array using the equation-of-motion approach to the nonequilibrium Green functions formalism. This popular technique relies on uncontrolled approximations to obtain a closure for a…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

The equation of motion method (EOM) for Green functions is one of the tools used in the analysis of quantum dot system coupled with metallic and superconducting leads. We investigate modified EOM, based on differentiation of double-time…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Grzegorz Górski

We derive an exact expression for the differential conductance for a quantum dot in an arbitrary magnetic field for small bias voltage. The derivation is based on the symmetric Anderson model using renormalized perturbation theory and is…

Strongly Correlated Electrons · Physics 2009-11-11 A. C. Hewson , J. Bauer , A. Oguri

We model a small quantum dot with a magnetic impurity by the Anderson Hamiltonian with a supplementary exchange interaction term. The transport calculations are performed by means of the Green functions within the equation of motion scheme,…

Materials Science · Physics 2015-06-25 Mugurel Tolea , Bogdan R. Bulka

We consider resonant transport through a molecular quantum dot coupled to a local vibration mode. Applying the non-equilibrium Green function technique in the polaron representation, we develop a non-perturbative scheme to calculate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Alex Zazunov , Thierry Martin

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 non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T. Assuming that the interactions are taking place solely in the impurity and…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 C. A. Balseiro , Gonzalo Usaj , M. J. Sanchez

Non-equilibrium Green's function technique has been used to calculate spin-dependent electronic transport through a quantum dot in the Kondo regime. The dot is described by the Anderson Hamiltonian and is coupled either symmetrically or…

Other Condensed Matter · Physics 2009-11-11 R. Swirkowicz , M. Wilczynski , J. Barnas

We study the nonequilibrium transport through a quantum dot coupled to normal and superconducting leads. We use the modified second-order perturbation theory to calculate the differential conductance and the local density of states at the…

Mesoscale and Nanoscale Physics · Physics 2010-03-26 Yasuhiro Yamada , Yoichi Tanaka , Norio Kawakami

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

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

Spin-dependent electronic transport through a quantum dot side-coupled to two quantum dots and attached to ferromagnetic leads with collinear (parallel and antiparallel) magnetizations is analyzed theoretically. The intra-dot Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-03-05 Piotr Trocha , Józef Barnaś

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 differential conductance in the Kondo regime of a quantum dot coupled to multiple leads. When the bias is applied symmetrically on two of the leads ($V$ and $-V$, as usual in experiments), while the others are grounded, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Tolea , I. V. Dinu , A. Aldea
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