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We study an Ising model in one dimension with short range ferromagnetic and long range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and…

统计力学 · 物理学 2012-08-16 Erik Nielsen , R. N. Bhatt , David A. Huse

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

统计力学 · 物理学 2015-05-14 Anindita Ganguli , Subinay Dasgupta

We study a 3-dimensional Ising model in which the tendency to order due to short-range ferromagnetic interactions is frustrated by competing long-range (Coulombic) interactions. Complete ferromagnetic ordering is impossible for any nonzero…

统计力学 · 物理学 2009-10-31 P. Viot , G. Tarjus

The influence of random interlayer exchange on the phase states of the simplest magnetic heterostructure consisting of two ferromagnetic Ising layers with large interaction radius is studied. It is shown that such system can exist in three…

材料科学 · 物理学 2013-05-29 P. N. Timonin , V. B. Shirokov

The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous…

无序系统与神经网络 · 物理学 2016-08-31 P. N. Timonin

We report the existence of a large set of ferromagnetic scarred states in the one-dimensional transverse-field Ising model with long-range interactions, in a regime with no ferromagnetic phase at finite temperature. These scarred states are…

统计力学 · 物理学 2026-03-19 Ángel L. Corps , Armando Relaño

We consider the phase separation problem for the one--dimensional ferromagnetic Ising model with long--range two--body interaction, $J(n)=n^{-2+\a}$ where $n\in \N$ denotes the distance of the two spins and $ \alpha \in ]0,\a_+[$ with…

数学物理 · 物理学 2017-04-26 Marzio Cassandro , Immacolata Merola , Pierre Picco

We explore the equilibrium properties of a two-dimensional Ising spin model with short-range exchange and long-range dipolar interactions as a function of the applied magnetic field H. The model is studied through extensive Monte Carlo…

材料科学 · 物理学 2010-11-24 Rogelio Diaz-Mendez , Roberto Mulet

We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins $\sigma$, $(\pm 1/2)$ and spins $S$, $(\pm 3/2,\pm 1/2)$ in the presence of a random crystal field, with the mean…

统计力学 · 物理学 2009-11-13 L. Bahmad , A. Benyoussef , A. El Kenz

We examine correlation functions in the presence of competing long and short ranged interactions to find multiple correlation and modulation lengths. We calculate the ground state stripe width of an Ising ferromagnet, frustrated by an…

统计力学 · 物理学 2015-02-25 Saurish Chakrabarty , Zohar Nussinov

We study the equilibrium properties of the nearest-neighbor Ising antiferromagnet on a triangular lattice in the presence of a staggered field conjugate to one of the degenerate ground states. Using a mapping of the ground states of the…

统计力学 · 物理学 2009-10-31 Abhishek Dhar , Pinaki Chaudhuri , Chandan Dasgupta

In this paper we study an Ising spin chain with short-range competing interactions in presence of long-range ferromagnetic interactions in the canonical ensemble. The simultaneous presence of the frustration induced by the short-range…

We investigate the ground states of 1D continuum models having short-range ferromagnetic type interactions and a wide class of competing longer-range antiferromagnetic type interactions. The model is defined in terms of an energy…

统计力学 · 物理学 2013-05-29 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

统计力学 · 物理学 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

统计力学 · 物理学 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

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…

统计力学 · 物理学 2010-06-17 Thierry Dauxois , Pierre de Buyl , Leonardo Lori , Stefano Ruffo

Finite-range interacting spin models are the simplest models to study the effect of beyond nearest-neighbour interactions and access new effects caused by the range of the interactions. Recent experiments have reached the regime of dominant…

原子物理 · 物理学 2018-01-16 Peter Schauss

We consider randomly distributed mixtures of bonds of ferromagnetic and antiferromagnetic type in a two-dimensional square lattice with probability $1-p$ and $p$, respectively, according to an i.i.d. random variable. We study minimizers of…

概率论 · 数学 2018-05-23 Andrea Braides , Andrea Causin , Andrey Piatnitski , Margherita Solci

Several new features arise in the ground-state phase diagram of a spin-1 condensate trapped in an optical trap when the magnetic dipole interaction between the atoms is taken into account along with confinement and spin precession. The…

量子气体 · 物理学 2010-02-06 Jonas A. Kjäll , Andrew M. Essin , Joel E. Moore

We propose a scaling hypothesis for pattern-forming systems in which modulation of the order parameter results from the competition between a short-ranged interaction and a long-ranged interaction decaying with some power $\alpha$ of the…

软凝聚态物质 · 物理学 2011-01-17 O. Portmann , A. Goelzer , N. Saratz , O. V. Billoni , D. Pescia , A. Vindigni
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