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The Hubbard model on a Sierpinski gasket fractal is carefully examined within a Hartree-Fock mean field approach. We examine the influence of a magnetic flux threading the gasket on its ground state energy, persistent current and the Drude…

Mesoscale and Nanoscale Physics · Physics 2010-11-04 Santanu K. Maiti , Arunava Chakrabarti

Effects due to the proximity of a superconductor has motivated a lot of research work in the last several decades both from theoretical and experimental point of view. In this review we are going to describe the physics of systems…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Arijit Saha

Mean motion resonances are important in the analysis and understanding of the dynamics of planetary systems. While perturbative approaches have been dominant in many previous studies, recent non-perturbative approaches have revealed novel…

Earth and Planetary Astrophysics · Physics 2023-02-17 Renu Malhotra , Zherui Chen

The Hubbard and related models serve as a fundamental starting point in understanding the novel experimental phenomena in correlated electron materials, such as superconductivity, Mott insulator, magnetism and stripe phases. Recent…

Strongly Correlated Electrons · Physics 2024-06-17 Zongsheng Zhou , Weinan Ye , Hong-Gang Luo , Jize Zhao , Jun Chang

The ground state persistent current and electron addition spectrum in two-dimensional quantum dot arrays and one-dimensional quantum dot rings, pierced by an external magnetic flux, are investigated using the extended Hubbard model. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Kotlyar , C. A. Stafford , S. Das Sarma

The persistent current and charge stiffness of a one-dimensional Luttinger liquid on a ring threaded by a magnetic flux are calculated by Monte Carlo simulation. By changing the random impurity potential strength and the electron-electron…

Condensed Matter · Physics 2009-10-22 Hiroyuki Mori

Electron-electron interactions are intrinsically long ranged, but many models of strongly interacting electrons only take short-ranged interactions into account. Here, we present results of atomistic calculations including both long-ranged…

Strongly Correlated Electrons · Physics 2021-05-19 Lennart Klebl , Zachary A. H. Goodwin , Arash A. Mostofi , Dante M. Kennes , Johannes Lischner

We derive a general microscopic expression for the non-linear diamagnetic current in a clean superconductor-insulator-normal metal structure with an arbitrary interface transmission. In the absence of electron-electron interactions in the…

Superconductivity · Physics 2009-11-07 A. V. Galaktionov , A. D. Zaikin

The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

We present an extensive analytical study of persistent current in a weakly disordered two-chain cylindrical ring threaded by an Aharonov-Bohm flux $0 < \phi <\phi_0/2$ (with $\phi_0$ the flux quantum) and described by the Anderson model.…

Disordered Systems and Neural Networks · Physics 2015-05-27 Jean Heinrichs

The importance of the Darwin-Breit interaction between electrons in solids at low temperatures is investigated. The model problem of particles on a circle is used and applied to mesoscopic metal rings in their normal state. The London…

Superconductivity · Physics 2013-10-21 Hanno Essen

We investigate the modification in mesoscopic electronic transport due to electron-electron interactions making use of scattering states. We demonstrate that for a specific (finite range) interaction kernel, the knowledge of the scattering…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 David Oehri , Andrei V. Lebedev , Gordey B. Lesovik , Gianni Blatter

Suppression of electron current $ \Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction…

Strongly Correlated Electrons · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa

We present a generalization of the recently proposed variational cluster perturbation theory to extended Hubbard models at half filling with repulsive nearest neighbor interaction. The method takes into account short-range correlations…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichhorn , H. G. Evertz , W. von der Linden , M. Potthoff

The influence of disorder and interaction on the ground state polarization of the two-dimensional (2D) correlated electron gas is studied by numerical investigations of unrestricted Hartree-Fock equations. The ferromagnetic ground state is…

Strongly Correlated Electrons · Physics 2009-11-10 M. Nita , V. Dinu , A. Aldea , B. Tanatar

We reconsider the study of persistent currents in a disordered one-dimensional ring threaded by a magnetic flux, using he one-band tight-binding model for a ring of N-sites with random site energies. The secular equation for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Heinrichs

The lowest eigenenergies of few, strongly interacting electrons in a one--dimensional ring are studied in the presence of an impurity barrier. The persistent current $\:I\:$, periodic in an Aharonov--Bohm flux penetrating the ring, is…

Condensed Matter · Physics 2009-10-28 Wolfgang Häusler

The persistent current in small isolated rings enclosing magnetic flux is the current circulating in equilibrium in the absence of an external excitation. While initially studied in superconducting and normal metals, recently, atomic…

Quantum Gases · Physics 2022-03-08 Ovidiu I. Patu , Dmitri V. Averin

Local moment formation is ubiquitous in disordered semiconductors such as Si:P, where it is observed both in the metallic and the insulating regimes. Here, we focus on local moment behavior in disordered insulators, which arises from…

Strongly Correlated Electrons · Physics 2024-01-24 Josephine Yu , Hong-Chen Jiang , Rahul Nandkishore , Srinivas Raghu

The effect of the Hubbard interaction among conduction electrons on the double exchange model is investigated in a ferromagnetic metallic phase. Applying iterative perturbation theory to the Hubbard interaction within dynamical mean field…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshiki Imai , Norio Kawakami