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Impurities coupled to superconductors offer a controlled platform to understand the interplay between superconductivity, many-body interactions, and non-equilibrium physics. In the equilibrium situation, local interactions at the impurity…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 R. Seoane Souto , A. E. Feiguin , A. Martín-Rodero , A. Levy Yeyati

We describe linear and nonlinear transport across a single impurity Anderson model quantum dot with intermediate coupling to the leads, i.e., with tunnel coupling of the order of the thermal energy k_B T. The coupling is large enough that…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Johannes Kern , Milena Grifoni

We study the dynamics of many atoms in the recently proposed Single Atom Transistor setup [A. Micheli, A. J. Daley, D. Jaksch, and P. Zoller, Phys. Rev. Lett. 93, 140408 (2004)] using recently developed numerical methods. In this setup, a…

Quantum Physics · Physics 2009-01-15 A. J. Daley , S. R. Clark , D. Jaksch , P. Zoller

Recent developments on studies of transport through quantum dots obtained by applying the time-dependent density matrix renormalization group method are summarized. Some new aspects of Kondo physics which appear in nonequilibrium steady…

Strongly Correlated Electrons · Physics 2015-05-28 Shunsuke Kirino , Kazuo Ueda

We propose a hierarchical dynamics approach for evaluation of nonequilibrium dynamic response properties of quantum impurity systems. It is based on a hierarchical equations of motion formalism, in conjunction with a linear response theory…

Strongly Correlated Electrons · Physics 2013-07-15 Shikuan Wang , Xiao Zheng , Jinshuang Jin , YiJing Yan

We extend the Kajueter-Kotliar [Phys. Rev. Lett. 77, 131 (1996)] iterated perturbation theory (KK-IPT) away from half filling to nonequilibrium steady states. We benchmark the resulting nonequilibrium KK-IPT approach against the auxiliary…

Strongly Correlated Electrons · Physics 2026-04-20 Tommaso Maria Mazzocchi , Enrico Arrigoni

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 study a series-coupled double quantum dot in the Kondo regime modeled by the two-impurity Anderson model and find a new conduction-band mediated superexchange interaction that competes with Kondo physics in the strong Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Minchul Lee , Mahn-Soo Choi , Rosa Lopez , Ramon Aguado , Jan Martinek , Rok Zitko

Quantum transport is ubiquitous in physics. So far, quantum transport between terminals has been extensively studied in solid state systems from the fundamental point of views such as the quantized conductance to the applications to quantum…

Quantum Gases · Physics 2021-12-15 Koki Ono , Toshiya Higomoto , Yugo Saito , Shun Uchino , Yusuke Nishida , Yoshiro Takahashi

We consider quantum dynamics of the order parameter in the discrete pairing model (Richardson model) in thermodynamic equilibrium. The integrable Richardson Hamiltonian is represented as a direct sum of Hamiltonians acting in different…

Superconductivity · Physics 2014-11-20 Victor Galitski

Many-body transport has emerged as an efficient tool for understanding interaction effects in quantum materials with a multi-band electronic structure. This paper proposes a formula for the two-particle transmission coefficient for…

Superconductivity · Physics 2023-02-02 G. Tkachov

By viewing the non-equilibrium transport setup as a quantum open system, we propose a reduced-density-matrix based quantum transport formalism. At the level of self-consistent Born approximation, it can precisely account for the correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ping Cui , Xin-Qi Li , Jiushu Shao , YiJing Yan

We consider the physics of transport through quantum dots in the presence of two tunneling paths. The first path sees electrons hopping on and off the dot while the second path is modeled through a potential scattering-like term. To study…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert M. Konik

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 investigate the ground-state properties of the Anderson single impurity model (finite Coulomb impurity repulsion) with the Coupled Cluster Method. We consider different CCM reference states and approximation schemes and make comparison…

Strongly Correlated Electrons · Physics 2009-06-26 Jin-Jun Liang , Clive Emary , Tobias Brandes

We analyze the nonequilibrium transport properties of a parallel double quantum dot in terms of its full counting statistics (FCS). The parameters of the setup are assumed to be such that both subsystems are driven into the Kondo regime.…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 D. Breyel , A. Komnik

We derive a general expression for the electron nonequilibrium (NE) distribution function in the context of steady state quantum transport through a two-terminal nanodevice with interaction. The central idea for the use of NE distributions…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 H. Ness

We investigate the out-of-equilibrium properties of a simple quantum impurity model, the interacting resonant level model (IRLM). We focus on the scaling regime, where the bandwidth of the fermions in the leads is larger than all the other…

Strongly Correlated Electrons · Physics 2017-12-06 Kemal Bidzhiev , Grégoire Misguich

We study quantum dynamics in the framework of repeated interactions between a system and a stream of identical probes. We present a coarse-grained master equation that captures the system's dynamics in the natural regime where interactions…

Quantum Physics · Physics 2019-04-03 Stella Seah , Stefan Nimmrichter , Valerio Scarani

Numerical time evolution of transport states using time dependent Density Matrix Renormalization Group (td-DMRG) methods has turned out to be a powerful tool to calculate the linear and finite bias conductance of interacting impurity…

Strongly Correlated Electrons · Physics 2010-04-26 Alexander Branschädel , Guenter Schneider , Peter Schmitteckert
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