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We study the ground-state phase diagram of an unfrustrated antiferromagnetic Ising chain with longitudinal and transverse fields in the full range of interactions: from all-to-all to nearest-neighbors. First, we solve the model analytically…

The theory of phase transitions is based on the consideration of "idealized" models, such as the Ising model: a system of magnetic moments living on a cubic lattice and having only two accessible states. For simplicity the interaction is…

Statistical Mechanics · Physics 2011-12-22 H Chamati , S Romano

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

With the recent production of polar molecules in the quantum regime, long-range dipolar interactions are expected to facilitate the understanding of strongly interacting many-body quantum systems and to realize lattice spin models for…

Usually complex charge ordering phenomena arise due to competing interactions. We have studied how such ordered patterns emerge from the frustration of a long-ranged interaction on a lattice. Using the lattice gas model on a square lattice…

Statistical Mechanics · Physics 2013-09-17 Louk Rademaker , Yohanes Pramudya , Jan Zaanen , Vladimir Dobrosavljevic

We show that the nonequilibrium dynamics of systems with many interacting elements located on a small-world network can be much slower than on regular networks. As an example, we study the phase ordering dynamics of the Ising model on a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Denis Boyer , Octavio Miramontes

When liquid-crystalline elastomers pass through the isotropic-nematic transition, the orientational order parameter and the elastic strain vary rapidly but smoothly, without the expected first-order discontinuity. This broadening of the…

Soft Condensed Matter · Physics 2007-05-23 Jonathan V. Selinger , B. R. Ratna

Here we present a new perspective to the breakdown of ferromagnetic order in two-dimensional spin-lattice models employing the rotation of the underlying lattice. Using an Ising spin system on a square lattice as a prototype, we demonstrate…

Statistical Mechanics · Physics 2021-08-17 Claudio J DaSilva , L. S. Ferreira , A. A. Caparica

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

Strongly Correlated Electrons · Physics 2014-05-05 Burkhard Schmidt , Peter Thalmeier

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

The static-exchange model (SEM) and the modified static-exchange model (MSEM) recently introduced by Ray [1] is applied to study the elastic collision between two hydrogen-like atoms when both are in ground states considering the system as…

Atomic Physics · Physics 2016-06-29 Hasi Ray

There is a growing interest, inspired by advances in technology, in the low temperature physics of thin films. These quasi-2D systems show a wide range of ordering effects including formation of striped states, reorientation transitions,…

Statistical Mechanics · Physics 2009-11-13 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

Pressure-induced phase transitions of spin-crossover materials were simulated by a Monte Carlo simulation in the constant pressure ensemble for the first time. Here, as the origin of the cooperative interaction, we adopt elastic interaction…

Materials Science · Physics 2008-04-09 Yusuke Konishi , Hiroko Tokoro , Masamichi Nishino , Seiji Miyashita

We investigate the influence of long-range (LR) interactions on the phase ordering dynamics of the one-dimensional random field Ising model (RFIM). Unlike the usual RFIM, a spin interacts with all other spins through a ferromagnetic…

Statistical Mechanics · Physics 2023-10-25 Ramgopal Agrawal , Federico Corberi , Eugenio Lippiello , Sanjay Puri

We study the interplay of disorder and Heisenberg interactions in Kitaev model on honeycomb lattice. The effect of disorder on the transition between Kitaev spin liquid and magnetic ordered states as well as the stability of magnetic…

Strongly Correlated Electrons · Physics 2023-04-13 Ayushi Singhania , Jeroen van den Brink , Satoshi Nishimoto

Long-range spin-spin interactions are known to generate non-equilibrium dynamics which can squeeze the collective spin of a quantum spin ensemble in a scalable manner, leading to states whose metrologically useful entanglement grows with…

Quantum Physics · Physics 2024-04-22 Tommaso Roscilde , Filippo Caleca , Adriano Angelone , Fabio Mezzacapo

The impact of local and nonlocal density-density interactions on the electronic instabilities in the honeycomb lattice is widely investigated. Some early studies proposed the emergence of interaction-induced topologically nontrivial phases,…

Strongly Correlated Electrons · Physics 2019-08-07 Song-Jin O , Yong-Hwan Kim , Ho-Yong Rim , Hak-Chol Pak , Song-Jin Im

Giant atoms, which couple to the environment at multiple discrete points, exhibit various nontrivial phenomena in quantum optics due to their nonlocal couplings. In this study, we propose a one-dimensional cross-stitch ladder lattice…

Quantum Physics · Physics 2025-12-19 Ying Xia , Jia-Qi Li , Xin Wang