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A comprehensive study of the influence of classical anisotropy fields on the magnetic properties of Heisenberg antiferromagnets within unified molecular field theory versus temperature T, magnetic field H, and anisotropy field parameter hA1…

Strongly Correlated Electrons · Physics 2018-01-03 David C. Johnston

Heisenberg antiferromagnets in a strong uniform magnetic field $H$ are expected to exhibit a gapless phase with a global O(2) symmetry. In many real magnets, a small energy gap is induced by additional interactions that can be viewed as a…

Strongly Correlated Electrons · Physics 2009-11-10 J. -B. Fouet , O. Tchernyshyov , F. Mila

We develop a theory of anomalous elasticity in disordered two-dimensional flexible materials with orthorhombic crystal symmetry. Similar to the clean case, we predict existence of infinitely many flat phases with anisotropic bending…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 M. V. Parfenov , V. Yu. Kachorovskii , I. S. Burmistrov

We present a new and simple proof for the classic results of Imbrie (1985) and Bricmont-Kupiainen (1988) that for the random field Ising model in dimension three and above there is long range order at low temperatures with presence of weak…

Probability · Mathematics 2021-10-12 Jian Ding , Zijie Zhuang

The frustrated magnet SrDy$_2$O$_4$ exhibits a field-induced phase with a magnetization plateau at $1/3$ of the saturation value for magnetic fields applied along the $b$-axis. We report here a neutron scattering study of the nature and…

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

Statistical Mechanics · Physics 2023-01-03 Sudip Mukherjee , Abhik Basu

We prove that for quantum lattice systems in d<=2 dimensions the addition of quenched disorder rounds any first order phase transition in the corresponding conjugate order parameter, both at positive temperatures and at T=0. For systems…

Statistical Mechanics · Physics 2013-01-21 Michael Aizenman , Rafael L. Greenblatt , Joel L. Lebowitz

The ground state properties of the two dimensional spatially anisotropic Heisenberg model are investigated by use of field theory mappings, spin-wave expansion and Lanczos technique. Evidence for a disorder transition induced by anisotropy…

Condensed Matter · Physics 2016-08-31 A. Parola , S. Sorella , Q. F. Zhong

We present a rigorous proof of an ordering transition for a two-component two-dimensional antiferromagnet with nearest and next-nearest neighbor interactions. The low-temperature phase contains two states distinguished by local order among…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Lincoln Chayes , Steven A. Kivelson

The heavy fermion compound URu2Si2 continues to attract great interest due to the long- unidentified nature of the hidden order that develops below 17.5K. Here we discuss the implications of an angular survey of the linear and nonlinear…

Strongly Correlated Electrons · Physics 2018-04-27 Premala Chandra , Piers Coleman , Rebecca Flint , Jennifer Trinh , Arthur P. Ramirez

Recent interest in monolayer materials motivated a search for two-dimensional ferromagnets with sizable spin-orbit coupling. Magnetic anisotropy of exchange Hamiltonian, induced by spin-orbit coupling, may not only stabilize long-range…

Strongly Correlated Electrons · Physics 2025-08-08 Kaushal K. Kesharpu , Pavel A. Maksimov

In thermal equilibrium the ground state of the plasma of Standard Model particles is determined by temperature and exactly conserved combinations of baryon and lepton numbers. We show that at non-zero values of the global charges a…

High Energy Physics - Phenomenology · Physics 2012-10-09 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

Phase diagram and pattern formation in two-dimensional Ising model with coupling between order parameter and lattice vibrations is investigated by Monte-Carlo simulations. It is shown that if the coupling is strong enough (or phonons are…

Statistical Mechanics · Physics 2011-11-10 I. K. Razumov , Yu. N. Gornostyrev , M. I. Katsnelson

We discuss theoretically phase transitions in frustrated antiferromagnets with biaxial anisotropy or dipolar forces in magnetic field applied along the easy axis at $T=0$. There are well-known sequences of phase transitions upon the field…

Strongly Correlated Electrons · Physics 2019-09-04 O. I. Utesov , A. V. Syromyatnikov

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

Strongly Correlated Electrons · Physics 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

The mixed spin-1/2 and spin-1 Ising model in the presence of an anisotropic crystalline field is treated exactly within the framework of an extended star-triangle mapping transformation. The exact results for the phase diagrams,…

Statistical Mechanics · Physics 2007-05-23 Jozef Strecka , Michal Jascur

It is now well established that the Mermin-Wagner theorem can be circumvented in nonequilibrium systems, allowing for the spontaneous breaking of a continuous symmetry and the emergence of long-range order in low dimensions. However, only a…

Statistical Mechanics · Physics 2025-07-03 Oriana K. Diessel , Jaewon Kim , Ehud Altman

The classical, square lattice, uniaxially anisotropic Heisenberg antiferromagnet in a magnetic field parallel to the easy axis is studied using Monte Carlo techniques. The model displays a long-range ordered antiferromagnetic, an…

Statistical Mechanics · Physics 2007-05-23 M. Holtschneider , W. Selke , R. Leidl

We analyse the effect of quenched uncorrelated randomness coupling to the local energy density of a model consisting of N coupled two-dimensional Ising models. For N>2 the pure model exhibits a fluctuation-driven first order transition,…

Condensed Matter · Physics 2016-08-31 John Cardy

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier
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