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Fractional occupation numbers can be used in density functional theory to create a symmetric Kohn-Sham potential, resulting in orbitals with degenerate eigenvalues. We develop the corresponding perturbation theory and apply it to a system…

Materials Science · Physics 2016-09-09 Mark C. Palenik , Brett I. Dunlap

We derive and apply a general scheme for mapping a setup consisting of a half-filled single level quantum dot coupled to one normal metallic and two superconducting phase-biased leads onto an ordinary half-filled single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Peter Zalom , Vladislav Pokorný , Tomáš Novotný

There has been a high demand in rectifying the band gap under-estimation problem in density functional theory (DFT), while keeping the computational load at the same level as local density approximation. DFT-1/2 and shell DFT-1/2 are useful…

Materials Science · Physics 2025-07-08 Shengxin Yang , Jiangzhen Shi , Kan-Hao Xue , Jun-Hui Yuan , Xiangshui Miao

Charge sensing in quantum-dot structures is studied by an exactly solvable reduced model and numerical density-matrix renormalization group methods. Charge sensing is characterized by the repeated cycling of the occupation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Richard Berkovits , Felix von Oppen , Yuval Gefen

We investigated the peculiarities of non-equilibrium charge configurations in the system of two strongly coupled quantum dots (QDs) weakly connected to the reservoirs in the presence of Coulomb correlations. We revealed that total electron…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 V. N. Mantsevich , N. S. Maslova , P. I. Arseyev

We study transport properties of quantum impurity systems using the functional renormalization group. The latter is an RG-based diagrammatic tool to treat Coulomb interactions in a fast and flexible way. Prior applications, which employed a…

Strongly Correlated Electrons · Physics 2010-09-21 C. Karrasch

The influence of excited levels on nonlinear transport properties of a quantum dot weakly coupled to leads is studied using a master--equation approach. A charging model for the dot is compared with a quantum mechanical model for…

Condensed Matter · Physics 2009-10-22 W. Pfaff , D. Weinmann , W. Haeusler , B. Kramer , U. Weiss , PTB Braunschweig

Multi-terminal transport setups allow to realize more complex measurements and functionalities (e.g., transistors) of nanoscale systems than the simple two-terminal arrangement. Here the steady-state density functional formalism (i-DFT) for…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Stefan Kurth , David Jacob , Nahual Sobrino , Gianluca Stefanucci

We investigate static and dynamical ground-state properties of the two-impurity Anderson model at half filling in the limit of vanishing impurity separation using the dynamical density-matrix renormalization group method. In the…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Nishimoto , Thomas Pruschke , Reinhard M. Noack

We consider a quasi-static quantum Otto cycle using two effectively two-level systems with degeneracy in the excited state. The systems are coupled through isotropic exchange interaction of strength $J>0$, in the presence of an external…

Statistical Mechanics · Physics 2017-09-13 Venu Mehta , Ramandeep S. Johal

Site-occupation embedding theory (SOET) is a density-functional theory (DFT)-based method which aims at modelling strongly correlated electrons. It is in principle exact and applicable to model and quantum chemical Hamiltonians. The theory…

Strongly Correlated Electrons · Physics 2018-08-29 Bruno Senjean , Masahisa Tsuchiizu , Vincent Robert , Emmanuel Fromager

Quantum transport is studied for the nonequilibrium Anderson impurity model at zero temperature employing the multilayer multiconfiguration time-dependent Hartree theory within the second quantization representation (ML-MCTDH-SQR) of Fock…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Haobin Wang , Michael Thoss

We present recent advances in Density Functional Theory (DFT) for applications to the field of quantum transport, with particular emphasis on transport through strongly correlated systems. We review the foundations of the popular…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 S. Kurth , G. Stefanucci

Recent progress in the field of (time-independent) ensemble density-functional theory (DFT) for excited states are reviewed. Both Gross-Oliveira-Kohn (GOK) and $N$-centered ensemble formalisms, which are mathematically very similar and…

Chemical Physics · Physics 2021-11-29 Filip Cernatic , Bruno Senjean , Vincent Robert , Emmanuel Fromager

Based on the recent paper (Phys. Rev. Lett. 102, 216803, (2009)), we study the nonequilibrium occupation number and charge susceptibility of a resonance level close to a dissipative quantum phase transition of the Kosterlitz-Thouless (KT)…

Strongly Correlated Electrons · Physics 2015-05-18 Chung-Hou Chung , K. V. P. Latha

We calculate the temperature dependence of the transport properties of heavy-fermion systems such as resistivity, optical conductivity, thermoelectric power, the electronic part of the thermal conductivity, and the "figure of merit." The…

Strongly Correlated Electrons · Physics 2009-11-11 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

Density functional theory has made great success in solid state physics, quantum chemistry and in computational material sciences. In this work we show that density functional theory could shed light on phase transitions and entanglement at…

Statistical Mechanics · Physics 2017-08-11 Bo-Bo Wei

We study the effect of an external magnetic field on the transport properties of a quantum dot using a recently developed extension of the functional renormalization group approach to non-equilibrium situations. We discuss in particular the…

Mesoscale and Nanoscale Physics · Physics 2007-07-03 Riccardo Gezzi , Andreas Dirks , Thomas Pruschke

A reformulation of site-occupation embedding theory (SOET) in terms of Green's functions is presented. Referred to as site-occupation--Green's function embedding theory (SOGET), this novel extension of density-functional theory for model…

Strongly Correlated Electrons · Physics 2019-11-07 Laurent Mazouin , Matthieu Saubanère , Emmanuel Fromager

We study electron transport through double quantum dots in series. The tunnel coupling of the discrete dot levels to external leads causes a shift of their energy. This energy renormalization affects the transport characteristics even in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Bernhard Wunsch , Matthias Braun , Jürgen König , Daniela Pfannkuche