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We study the disorder-to-order transition in a collection of polar self-propelled particles interacting through a distance dependent alignment interaction. Strength of the interaction, $a^{d}$ ($0<a<1$) decays with metric distance $d$…

Statistical Mechanics · Physics 2018-04-02 Sudipta Pattanayak , Shradha Mishra

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

Statistical Mechanics · Physics 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

Motivated by experiments on sheared suspensions that show a transition between ordered and disordered phases, we here study the long-time behavior of a sheared and overdamped 2-d system of particles interacting by repulsive forces. As a…

Soft Condensed Matter · Physics 2016-01-06 Jens C. Pfeifer , Tobias Bischoff , Georg Ehlers , Bruno Eckhardt

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

Statistical Mechanics · Physics 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

We obtain the phase diagram for a harmonically trapped dilute dipolar condensate with a short ranged conservative three-body interaction. We show that this system supports two distinct fluid states: a usual condensate state and a…

Quantum Gases · Physics 2016-03-30 P. B. Blakie

Microscopic control over polar molecules with tunable interactions would enable realization of novel quantum phenomena. Using an applied electric field gradient, we demonstrate layer-resolved state preparation and imaging of ultracold…

In a previous paper [Phys. Rev. E 90, 022506 (2014)], we had studied thermodynamic and structural properties of a three-dimensional simple-cubic lattice model with dipolar-like interaction, truncated at nearest-neighbor separation, for…

Statistical Mechanics · Physics 2016-06-07 Hassan Chamati , Silvano Romano

Quasiperiodic potentials and dipolar interactions each impose long-range order in quantum systems, but their interplay unlocks a rich landscape of unexplored quantum phases. In this work, we investigate how dipolar bosonic crystals respond…

Quantum Gases · Physics 2025-07-01 Paolo Molignini , Barnali Chakrabarti

The long-range electrostatic interactions between molecules depend strongly on their relative orientation, which manifests as a rotational state dependence. Interactions between molecules in the same rotational quantum state are well-known…

Atomic Physics · Physics 2024-05-16 Etienne F. Walraven , Tijs Karman

We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically-driven long-range order at low temperatures (including zero). We then present Monte Carlo simulations, using a cluster…

Statistical Mechanics · Physics 2009-04-20 Roman Kotecky , Jesus Salas , Alan D. Sokal

An overview of results of models of coupled quantum rotors is presented. We focus on rotors with dipolar and quadrupolar potentials in two and three dimensions, potentials which correspond to approximate descriptions of real molecules…

Statistical Mechanics · Physics 2015-05-13 Yuri A. Freiman , B. Hetenyi , S. M. Tretyak

The quantum phase transitions of dipoles confined to the vertices of two dimensional (2D) lattices of square and triangular geometry is studied using path integral ground state quantum Monte Carlo (PIGS). We analyze the phase diagram as a…

Quantum Physics · Physics 2018-03-12 Brendan P. Abolins , Robert E. Zillich , K. Birgitta Whaley

Strongly correlated materials often undergo a Mott metal-insulator transition, which is tipically first-order, as a function of control parameters like pressure. Upon doping, rich phase diagrams with competing instabilities are found. Yet,…

We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number…

Statistical Mechanics · Physics 2007-12-20 F. Trousselet , P. Pujol , F. Alet , D. Poilblanc

The thermodynamics of the $q$-state Potts model with arbitrary $q$ on a class of hierarchical lattices is considered. Contrary to the case of the crystal lattices, it has always the second-order phase transitions. The analytical expressions…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. N. Timonin

We study a three-state Potts model extended by allowing cyclic dominance between the states as it appears for the rock-scissors-paper game. Monte Carlo simulations are performed on a square lattice when varying the temperature and the…

Statistical Mechanics · Physics 2009-11-10 Attila Szolnoki , Gyorgy Szabo , Maria Ravasz

We study the phase behaviour of a fluid composed of particles which interact via a pair potential that is repulsive for large inter-particle distances, is attractive at intermediate distances and is strongly repulsive at short distances…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer , C. Ionescu , D. Pini , L. Reatto

Arrangement of interacting particles on a sphere is historically a well known problem, however, ordering of particles with anisotropic interaction, such as the dipole-dipole interaction, has remained unexplored. We solve the orientational…

Soft Condensed Matter · Physics 2020-08-19 Andraž Gnidovec , Simon Čopar

We study in this paper the phase transition in a mobile Potts model by the use of Monte Carlo simulation. The mobile Potts model is related to a diluted Potts model which is also studied here by a mean-field approximation. We consider a…

Statistical Mechanics · Physics 2015-10-16 A Bailly-Reyre , H. T. Diep , M Kaufman

The elastic interaction, induced by the lattice distortion due to the difference of the molecular size, causes an effective long-range interaction. In spin-crossover (SC) compounds, local bistable states, i.e., high-spin and low-spin states…

Statistical Mechanics · Physics 2015-07-31 Masamichi Nishino , Seiji Miyashita