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One-dimensional model of a system where first-order phase transition occurs is examined in the present paper. It is shown that basic properties of the phenomenon, such as a well defined temperature of transition, are caused both by…

Statistical Mechanics · Physics 2009-07-29 Marcin Ostrowski

For two-patch particles in two dimensions, we find that the coupling of anisotropic patchy interactions and the triangular lattice leads to novel phase behaviors. For asymmetric patch-patch (PP) and nonpatch-nonpatch (NN) interactions, the…

Soft Condensed Matter · Physics 2025-09-05 Lingyao Kong , Hua Tong , Hao Hu

Recent experimental progress in magnetic atoms and polar molecules has created the prospect of simulating dipolar Hubbard models with off-site interactions. When applied to real-space cylindrical optical lattices, these anisotropic…

Quantum Gases · Physics 2022-05-05 Michael Hughes , Dieter Jaksch

The statement that any phase transition is related to the appearance or disappearance of long-range spatial correlations precludes a finite transition temperature in one-dimensional (1D) systems. In this paper we demonstrate that the 1D…

Statistical Mechanics · Physics 2020-06-02 L. S. Ferreira , L. N. Jorge , Cláudio J. DaSilva , Minos A. Neto , A. A. Caparica

A study is made of an anisotropic Potts model in three dimensions where the coupling depends on both the Potts state on each site but also the direction of the bond between them using both analytical and numerical methods. The phase diagram…

Statistical Mechanics · Physics 2009-11-11 M. R. Ahmed , G. A. Gehring

We study the properties of spin systems realized by cold polar molecules interacting via dipole-dipole interactions in two dimensions. Using a spin wave theory, that allows for the full treatment of the characteristic long-distance tail of…

Quantum Gases · Physics 2012-07-12 David Peter , Steffen Müller , Stefan Wessel , Hans Peter Büchler

We consider bosonic dipolar molecules in an optical lattice prepared in a mixture of different rotational states. The 1/r^3 interaction between molecules for this system is produced by exchanging a quantum of angular momentum between two…

Strongly Correlated Electrons · Physics 2009-11-11 Ryan Barnett , Dmitry Petrov , Mikhail Lukin , Eugene Demler

The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the…

Soft Condensed Matter · Physics 2009-11-10 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

We study the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix…

Quantum Gases · Physics 2018-06-06 Krzysztof Biedroń , Mateusz Łącki , Jakub Zakrzewski

Spin systems exposed to the influence of random magnetic fields are paradigmatic examples for studying the effect of quenched disorder on condensed-matter systems. In this context, previous studies have almost exclusively focused on systems…

Statistical Mechanics · Physics 2025-04-08 Manoj Kumar , Martin Weigel

In a recent paper ["Cluster Model of Decagonal Tilings" (to be published in Phys. Rev. B)], we have introduced a cluster model for decagonal tilings in two dimensions. This model is now extended to three dimensions. Two-dimensional tilings…

Condensed Matter · Physics 2007-05-23 Michael Reichert , Franz Gähler

We discuss the appareance of ordered structures in assemblies of magnetic particles. The phenomenon occurs when dipolar interactions and the thermal motion of the particles compete, and is mediated by screening and excluded volume effects.…

Soft Condensed Matter · Physics 2009-10-31 R. Pastor-Satorras , J. M. Rubi

A 2D lattice model defined on a triangular lattice with nearest- and next-nearest-neighbor interactions based on the Taylor-Socolar monotile is known to have a limit-periodic ground state. The system reaches that state during a slow quench…

Statistical Mechanics · Physics 2015-04-21 Catherine Marcoux , Travis W. Byington , Zongjin Qian , Patrick Charbonneau , Joshua E. S. Socolar

Mixed order phase transitions (MOT), which display discontinuous order parameter and diverging correlation length, appear in several seemingly unrelated settings ranging from equilibrium models with long-range interactions to models far…

Statistical Mechanics · Physics 2015-06-22 Amir Bar , David Mukamel

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

We have investigated the effect of a disordered porous matrix on the cluster microphase formation of a two dimensional system where particles interact via competing interactions. To this end we have performed extensive Monte Carlo…

Soft Condensed Matter · Physics 2012-02-22 D. F. Schwanzer , G. Kahl

We study the three-dimensional generalized six-state clock model at values of the energy parameters, at which the system is considered to have the same behavior as the stacked triangular antiferromagnetic Ising model and the three-state…

Statistical Mechanics · Physics 2009-11-07 Norikazu Todoroki , Yohtaro Ueno , Seiji Miyashita

We describe the emergence of strong spatial correlations, akin to liquid-like behavior and crystallization effects, in low (one and two) dimensional gases of cold Rydberg atoms. The presence of an external electric field permanently…

Phase separation, crucial for spatially segregating biomolecules in cells, is well-understood in the simple case of a few components with pairwise interactions. Yet, biological cells challenge the simple picture in at least two ways: First,…

Soft Condensed Matter · Physics 2024-03-12 Chengjie Luo , Yicheng Qiang , David Zwicker

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra