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A single-level quantum dot with Coulomb repulsion attached to two superconducting leads is studied via the perturbation expansion in the interaction strength. We use the Nambu formalism and the standard many-body diagrammatic representation…

介观与纳米尺度物理 · 物理学 2016-08-08 M. Žonda , V. Pokorný , V. Janiš , T. Novotný

We extend our approach based on the second order perturbation theory in the Coulomb interaction recently developed for quantum dots coupled to superconducting leads to the superconducting double quantum dot setups. Using our perturbative…

介观与纳米尺度物理 · 物理学 2020-07-27 Vladislav Pokorný , Martin Žonda , Georgios Loukeris , Tomáš Novotný

We present an exactly solvable effective model of a double quantum dot coupled to superconducting leads. This model is a generalization of the well-known superconducting atomic limit approximation of the paradigmatic superconducting…

介观与纳米尺度物理 · 物理学 2023-03-17 Martin Žonda , Peter Zalom , Tomáš Novotný , Georgios Loukeris , Jakob Bätge , Vladislav Pokorný

We study the electronic current through a quantum dot coupled to two superconducting leads which is driven by either a voltage $V$ or temperature $\Delta T$ bias. Finite biases beyond the linear response regime are considered. The local…

强关联电子 · 物理学 2014-06-12 Jan F. Rentrop , Severin G. Jakobs , Volker Meden

The perturbation method is an approximation scheme with a solvable leading order. The standard way is to choose a non-interacting sector for the leading order. The adaptive perturbation method improves the solvable part by using all…

高能物理 - 理论 · 物理学 2022-10-17 Chen-Te Ma

We develop a general perturbative framework based on a superconducting atomic limit for the description of Andreev bound states (ABS) in interacting quantum dots connected to superconducting leads. A local effective Hamiltonian for dressed…

强关联电子 · 物理学 2013-05-29 Tobias Meng , Pascal Simon , Serge Florens

We investigate Kondo correlations in a quantum dot with normal and superconducting electrodes, where a spin bias voltage is applied across the device and the local interaction $U$ is either attractive or repulsive. When the spin current is…

强关联电子 · 物理学 2018-06-13 Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

Using non-equilibrium renormalized perturbation theory to second order in the renormalized Coulomb repulsion, we calculate the lesser $\Sigma^<$ and and greater $\Sigma^>$ self-energies of the impurity Anderson model, which describes the…

介观与纳米尺度物理 · 物理学 2014-03-17 A. A. Aligia

Linear conductance through a quantum dot is calculated under a finite magnetic field using the modified perturbation theory. The method is based on the second-order perturbation theory with respect to the Coulomb repulsion, but the…

介观与纳米尺度物理 · 物理学 2009-10-31 Osamu Takagi , Tetsuro Saso

The method of self-consistent expansions is a powerful tool for handling strong coupling problems that might otherwise be beyond the reach of perturbation theory, providing surprisingly accurate approximations even at low order. First…

统计力学 · 物理学 2025-01-15 Minhui Zhu , Nigel Goldenfeld

The two-level model for a double quantum dot coupled to two leads, which is ubiquitously used to describe charge oscillations, transmission-phase lapses and correlation-induced resonances, is considered in its general form. The model…

介观与纳米尺度物理 · 物理学 2007-05-23 Vyacheslavs Kashcheyevs , Avraham Schiller , Amnon Aharony , Ora Entin-Wohlman

We study transport through a quantum dot coupled to normal and superconducting leads using the numerical renormalization group method. We show that the low-energy properties of the system are described by the local Fermi liquid theory…

介观与纳米尺度物理 · 物理学 2009-11-13 Yoichi Tanaka , Norio Kawakami , Akira Oguri

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…

介观与纳米尺度物理 · 物理学 2010-03-26 Yasuhiro Yamada , Yoichi Tanaka , Norio Kawakami

Using renormalized perturbation theory in the Coulomb repulsion, we derive an analytical expression for the leading term in the temperature dependence of the conductance through a quantum dot described by the impurity Anderson model, in…

强关联电子 · 物理学 2018-04-18 A. A. Aligia

We develop the general many-body perturbation theory for a superconducting quantum dot represented by a single-impurity Anderson model attached to superconducting leads. We build our approach on a thermodynamically consistent mean-field…

强关联电子 · 物理学 2021-07-01 Václav Janiš , Jiawei Yan

A new type of perturbation expansion in the mixing $V$ of localized orbitals with a conduction-electron band in the $U\to\infty$ Anderson model is presented. It is built on Feynman diagrams obeying standard rules. The local correlations of…

凝聚态物理 · 物理学 2009-10-22 Jan Brinckmann

Quantum dots attached to BCS superconducting leads exhibit a $0-\pi$ impurity quantum phase transition, which can be experimentally controlled either by the gate voltage or by the superconducting phase difference. For the pertinent…

介观与纳米尺度物理 · 物理学 2020-07-27 Alžběta Kadlecová , Martin Žonda , Vladislav Pokorný , Tomáš Novotný

A strong-coupling-perturbation theory around the Atomic Limit of the Anderson model with large $U$ for a localized $f$-orbital coupled to a conduction-electron band is presented. Although an auxiliary-particle representation is {\em not}…

凝聚态物理 · 物理学 2009-10-28 Jan Brinckmann

Nonlinear tunneling current through a quantum dot (an Anderson impurity system) subject to both constant and alternating electric fields is studied in the Kondo regime. A systematic diagram technique is developed for perturbation study of…

强关联电子 · 物理学 2016-08-31 Yehuda Goldin , Yshai Avishai

We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation, perturbation theory can be conveniently developed in terms…

凝聚态物理 · 物理学 2009-10-28 Guang-Ming Zhang , A. C. Hewson
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