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The object of the present article is a 1d lattice-gas system comprised of soft-particles, wherein particles interact only if they occupy the same or a neighboring site, as a simple representation of penetrable particles of soft condensed…

Soft Condensed Matter · Physics 2018-12-21 Derek Frydel , Yan Levin

To our best knowledge there is only one example of a lattice system with long-range two-body interactions whose ground states have been determined exactly: the one-dimensional lattice gas with purely repulsive and strictly convex…

Statistical Mechanics · Physics 2007-05-23 Janusz Jedrzejewski , Jacek Miekisz

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

Interacting two-component Fermi gases loaded in a one-dimensional (1D) lattice and subject to harmonic trapping exhibit intriguing compound phases in which fluid regions coexist with local Mott-insulator and/or band-insulator regions.…

Strongly Correlated Electrons · Physics 2007-05-23 Gao Xianlong , M. Polini , B. Tanatar , M. P. Tosi

The ground state of interacting particles on a disordered one-dimensional host-lattice is studied by a direct numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the host-lattice…

Disordered Systems and Neural Networks · Physics 2014-01-03 L. A. Pastur , V. V. Slavin , A. A. Krivchikov

We consider a lattice-gas model with an infinite range pairwise noncovex interaction. It might be relevant, for example, for adsorption of alkaline elements on W(112) and Mo(112). We study a competition between the effective dipole-dipole…

Condensed Matter · Physics 2009-10-28 Cz. Oleksy , J. Lorenc

We present Monte Carlo simulations of a three-state lattice gas, half-filled with two types of particles which attract one another, irrespective of their identities. A bias drives the two particle species in opposite directions,…

Statistical Mechanics · Physics 2009-11-07 E. Lyman , B. Schmittmann

We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase transitions (and their nature) at fixed density for the…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the…

Soft Condensed Matter · Physics 2007-05-23 P. Buonsante , P. Kevrekidis , V. Penna , A. Vezzani

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the…

Statistical Mechanics · Physics 2011-12-30 M. D. Grynberg

We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that…

Strongly Correlated Electrons · Physics 2015-05-18 D. Souza , F. Claro

Bosons interacting repulsively on a lattice with a flat lowest band energy dispersion may, at sufficiently small filling factors, enter into a Wigner-crystal-like phase. This phase is a consequence of the dispersionless nature of the…

Strongly Correlated Electrons · Physics 2015-03-05 Lawrence G. Phillips , Gabriele De Chiara , Patrik Öhberg , Manuel Valiente

We perform molecular dynamics simulations on an interacting electron gas confined to a cylindrical surface and subject to a radial magnetic field and the field of the positive background. In order to study the system at lowest energy states…

Statistical Mechanics · Physics 2009-11-07 Vishal Mehra , Jayme De Luca

The ground-state of two-dimensional (2D) systems of classical particles interacting pairwisely by the generalized Lennard-Jones potential is studied. Taking the surface area per particle $A$ as a free parameter and restricting oneself to…

Other Condensed Matter · Physics 2019-05-22 Igor Travěnec , Ladislav Šamaj

We explore systematically the ground state properties of one dimensional fermions with long-range interactions decaying in a power law $\sim1/r^\alpha$ through the density matrix renormalization group algorithm. By comparing values of…

Strongly Correlated Electrons · Physics 2019-04-30 Zhi-Hua Li

We investigate the dynamics of a three-state stochastic lattice gas, consisting of holes and two oppositely "charged" species of particles, under the influence of an "electric" field, at zero total charge. Interacting only through an…

Statistical Mechanics · Physics 2015-06-25 G. Korniss , B. Schmittmann , R. K. P. Zia

We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature $1/\beta\in(0,\infty)$. The ground state is a periodic lattice. We show that when the…

Mathematical Physics · Physics 2021-11-24 Sabine Jansen , Wolfgang König , Bernd Schmidt , Florian Theil

Optical lattices are considered loaded by atoms or molecules that can exhibit strong interactions between different lattice sites. The strength of these interactions can be sufficient for generating collective phonon excitations above the…

Quantum Gases · Physics 2020-07-22 V. I. Yukalov

We study the ground state phase diagram of population balanced and imbalanced ultracold atomic Fermi gases with a short range attractive interaction throughout the crossover from BCS to Bose-Einstein condensation (BEC), in a two-dimensional…

Quantum Gases · Physics 2022-08-10 Lin Sun , Qijin Chen

We compute the magnetic structure factor, the singlet correlation function and the momentum distribution of the one-dimensional Kondo lattice model at the density $\rho =0.7$. The density matrix-renormalization group method is used. We show…

Condensed Matter · Physics 2009-10-28 Samuel Moukouri , Laurent G. Caron
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