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Related papers: Nature of Long-Range Order in Stripe-Forming Syste…

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The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer set of physical phenomena and a crossover between…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Tianning Xiao , Chao Zhang , Youjin Deng , Zhijie Fan

One- to three-dimensional hypercubic lattices half-filled with localized particles interacting via the long-range Coulomb potential are investigated numerically. The temperature dependences of specific heat, mean staggered occupation, and…

Condensed Matter · Physics 2007-05-23 A. Mobius , U. K. Roessler

We propose the origin of the charge-ordered stripe structure with the orbital ordering observed experimentally in La_(1-x)Ca_(x)MnO_(3) (x=1/2, 2/3), in which the long-range Coulomb interaction plays an essential role. We study a Hubbard…

Strongly Correlated Electrons · Physics 2009-10-31 Tetsuya Mutou , Hiroshi Kontani

We study a system of dipolar molecules confined in a two-dimensional trap and subject to an optical square lattice. The repulsive long-range dipolar interaction $D/r^3$ favors an equilateral triangular arrangement of the molecules, which…

Quantum Gases · Physics 2015-02-12 Barbara Gränz , Sergey E. Korshunov , Vadim B. Geshkenbein , Gianni Blatter

Long-range interacting Hamiltonian systems are believed to relax generically towards non-equilibrium states called "quasi-stationary" because they evolve towards thermodynamic equilibrium very slowly, on a time-scale diverging with particle…

Statistical Mechanics · Physics 2017-07-18 Michael Joyce , Jules Morand , Pascal Viot

We study the behavior of a two-component plasma made up of non-additive hard disks with a logarithmic Coulomb interaction. Due to the Coulomb repulsion, long-wavelength total density fluctuations are suppressed and the system is globally…

Statistical Mechanics · Physics 2017-12-27 E. Lomba , J. J. Weis , S. Torquato

Long-range interactions can qualitatively reorganize correlated-electron ground states. In the square-lattice Hubbard model, on-site repulsion produces antiferromagnetic spin and charge stripes upon doping. We show that including a…

Strongly Correlated Electrons · Physics 2026-03-16 Chunhan Feng , Miguel A. Morales , Shiwei Zhang

We consider the class of long-range Hamiltonian systems first introduced by Anteneodo and Tsallis and called the alpha-XY model. This involves N classical rotators on a d-dimensional periodic lattice interacting all to all with an…

Statistical Mechanics · Physics 2009-11-07 M. -C. Firpo , S. Ruffo

We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, $J(r)\sim r^{-\alpha}$, with respect to the distance. Without a random field, the Ising model on the Dyson…

Mathematical Physics · Physics 2025-01-23 Manaka Okuyama , Masayuki Ohzeki

We apply the general results of the kinetic theory of systems with long-range interactions to particular systems of physical interest. We consider repulsive and attractive power-law potentials of interaction r^{-\gamma} with \gamma<d in a…

Statistical Mechanics · Physics 2013-11-12 Pierre-Henri Chavanis

We consider an one-dimensional lattice system of unbounded and continuous spins. The Hamiltonian consists of a perturbed strictly-convex single-site potential and with longe-range interaction. We show that if the interactions decay…

Probability · Mathematics 2015-06-17 Georg Menz , Robin Nittka

We examine the depinning and driven dynamics of a system in which there is a competition between long range Coulomb repulsive and short range attractive interactions. In the absence of disorder the system forms Wigner crystal, stripe, and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. Reichhardt , C. J. Olson , I. Martin , A. R. Bishop

We study two dimensional frustrated but non-disordered systems applying a replica approach to a stripe forming model with competing interactions. The phenomenology of the model is representative of several well known systems, like high-Tc…

Statistical Mechanics · Physics 2013-06-18 Ana C. Ribeiro Teixeira , Daniel A. Stariolo , Daniel G. Barci

We investigate the response of two-dimensional pattern forming systems with a broken up-down symmetry, such as chemical reactions, to spatially resonant forcing and propose related experiments. The nonlinear behavior immediately above…

Pattern Formation and Solitons · Physics 2009-11-10 R. Peter , M. Hilt , F. Ziebert , J. Bammert , C. Erlenkämper , N. Lorscheid , C. Weitenberg , A. Winter , M. Hammele , W. Zimmermann

We consider a Hubbard-like model of strongly-interacting spinless fermions and hardcore bosons on a square lattice, such that nearest neighbor occupation is forbidden. Stripes (lines of holes across the lattice forming antiphase walls…

Strongly Correlated Electrons · Physics 2009-11-07 N. G. Zhang , C. L. Henley

We study the phase diagram of two different Hamiltonians with competiting local, nearest-neighbour, and mean-field couplings. The first example corresponds to the HMF Hamiltonian with an additional short-range interaction. The second…

Statistical Mechanics · Physics 2010-06-17 Thierry Dauxois , Pierre de Buyl , Leonardo Lori , Stefano Ruffo

Based on density-functional theory we analyze the full phase diagram, the occurrence of long-ranged orientational order, and the structural properties of dipolar fluids. As a model system we consider the Stockmayer fluid that consists of…

Soft Condensed Matter · Physics 2009-09-25 B. Groh , S. Dietrich

The competition between long-range and short-range interactions among holes moving in an antiferromagnet (AF), is studied within a model derived from the spin density wave picture of layered transition metal oxides. A novel numerical…

We derive the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in two-dimensional systems with negative short-range electronic compressibility. We consider the system subject either to the truly three-dimensional…

Strongly Correlated Electrons · Physics 2009-05-13 C. Ortix , J. Lorenzana , C. Di Castro

In this paper the two dimensional extended Hubbard model with intersite magnetic Ising-like interaction in the atomic limit is analyzed by means of the classical Monte Carlo method in the grand canonical ensemble. Such an effective simple…

Strongly Correlated Electrons · Physics 2015-05-12 Szymon Murawski , Konrad Jerzy Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz