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This paper is concerned with the well-posedness analysis of the Hartree-Fock system modeling the time evolution of a quantum system comprised of fermions. We consider quantum states with finite mass and finite kinetic energy, and the…

Mathematical Physics · Physics 2007-05-23 A. Arnold , R. Bosi , S. Jeschke , E. Zorn

Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the symmetries of the Hamiltonian: permutations of…

Quantum Physics · Physics 2014-05-28 N. L. Harshman

For strongly correlated quantum systems, fundamental questions about the formation and stability of Floquet-Bloch sidebands (FBs) upon periodic driving remain unresolved. Here, we investigate the impact of electron-electron interactions and…

Strongly Correlated Electrons · Physics 2025-10-29 Karun Gadge , Salvatore R. Manmana

Correlation effects in the transport properties of a single quantum level coupled to electron reservoirs are discussed theoretically using a non-equilibrium Green functions approach. Our method is based on the introduction of a second-order…

Condensed Matter · Physics 2016-08-14 A. Levy Yeyati , A. Martín-Rodero , F. Flores

We consider circular and elliptic quantum dots with parabolic external confinement, containing 0 - 22 electrons and with values of r_s in the range 0 < r_s < 3. We perform restricted and unrestricted Hartree-Fock calculations, and further…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Clare Sloggett , Oleg Sushkov

We study the time evolution of a system of $N$ spinless fermions in $\mathbb{R}^3$ which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schr{\"o}dinger's equation with the…

Mathematical Physics · Physics 2019-10-08 Volker Bach , Sébastien Breteaux , Sören Petrat , Peter Pickl , Tim Tzaneteas

We study the interaction driven localization transition, which a recent experiment in Ga_{1-x}Mn_xAs As has shown to come along with multifractal behavior of the local density of states (LDoS) and the intriguing persistence of critical…

Strongly Correlated Electrons · Physics 2014-01-21 M. Amini , V. E. Kravtsov , M. Mueller

We analyze tunneling-induced quantum fluctuations in a single-level quantum dot with arbitrarily strong onsite Coulomb interaction, generating cotunneling processes and renormalizing system parameters. For a perturbative analysis of these…

Mesoscale and Nanoscale Physics · Physics 2012-07-26 Janine Splettstoesser , Michele Governale , Jürgen König

The effect of the Coulomb repulsion of holes on the Cooper instability in an ensemble of spin-polaron quasiparticles has been analyzed, taking into account the peculiarities of the crystallographic structure of the CuO$_2$ plane, which are…

Superconductivity · Physics 2018-01-17 V. V. Val'kov , D. M. Dzebisashvili , M. M. Korovushkin , A. F. Barabanov

We consider how the absence of thermalisation affects the classical Coulomb blockade regime in quantum dots. By solving the quantum kinetic equation in the experimentally accessible regime when the dot has two relevant occupation states, we…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 George McArdle , Rose Davies , Igor V. Lerner , Igor V. Yurkevich

We compute the parametric correlation function of the conductance peaks in chaotic and weakly disordered quantum dots in the Coulomb blockade regime and demonstrate its universality upon an appropriate scaling of the parameter. For a…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , H. Attias

We study the single-particle density of states of one-dimensional and two-dimensional quantum disordered systems with long-range interactions. We consider a $1/\sqrt{r}$ interaction in one dimension and a Coulomb interaction in two…

Disordered Systems and Neural Networks · Physics 2015-03-20 M. Pino , A. M. Somoza , M. Ortuño

We present a novel form of relativistic quantum mechanics and demonstrate how to solve it using a recently derived unitary perturbation theory, within partial wave analysis. The theory is tested on a relativistic problem, with two spinless,…

Quantum Physics · Physics 2021-08-11 Scott E. Hoffmann

We report on a study of interaction effects in the tunneling density-of-states of a disordered two-dimensional electron gas in the strong magnetic field limit where only the lowest Landau level is occupied. Interactions in the presence of…

Condensed Matter · Physics 2007-05-23 Eric Yang , A. H. MacDonald

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

We study peculiarities of transport through a Coulomb blockade system tuned to the vicinity of the spin transition in its ground state. Such transitions can be induced in practice by application of a magnetic field. Tunneling of electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman

We study the Coulomb-to-dipole transition which occurs when the separation $d$ of an electron-hole bilayer system is varied with respect to the characteristic in-layer distances. An analysis of the classical ground state configurations for…

Strongly Correlated Electrons · Physics 2009-11-13 P. Ludwig , K. Balzer , A. Filinov , H. Stolz , M. Bonitz

A system consisting of two independently contacted quantum dots with strong electrostatic interaction shows interdot Coulomb blockade when the dots are weakly tunnel coupled to their leads. It is studied experimentally how the blockade can…

Strongly Correlated Electrons · Physics 2008-11-18 A. Hübel , K. Held , J. Weis , K. v. Klitzing

This paper considers the self-consistent Coulomb interaction within arrays of self-assembled InAs quantum dots (QDs) which are embedded in a pn structure. Strong emphasis is being put on the statistical occupation of the electronic QD…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 R. Wetzler , A. Wacker , E. Schöll

We study the Coulomb blockade in a chaotic quantum dot connected to a lead by a single channel at nearly perfect transmission. We take into account quantum fluctuations of the dot charge and a finite level spacing for electron states within…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. L. Aleiner , L. I. Glazman
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