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The spin-1/2 anisotropic Heisenberg model with antiferromagnetic exchange interactions in the presence of a external magnetic field and a Dzyaloshinskii-Moriya interaction is studied by employing the usual mean-field approximation. The…

Statistical Mechanics · Physics 2018-05-23 Walter E. F. Parente , J. T. M. Pacobahyba , Minos A. Neto , Ijanílio G. Araújo , J. A. Plascak

We study the $\pm J$ three-dimensional Ising model with a longitudinal anisotropic bond randomness on the simple cubic lattice. The random exchange interaction is applied only in the $z$ direction, whereas in the other two directions, $xy$…

Statistical Mechanics · Physics 2015-04-29 T. Papakonstantinou , N. G. Fytas , A. Malakis , I. Lelidis

Recently has been observed for some one-dimensional models that exhibit unexpected pseudo-transitions and quasi-phases. This pseudo-transition resembles a first- and second-order phase transition simultaneously. One of those models is the…

Strongly Correlated Electrons · Physics 2018-06-18 I. M. Carvalho , J. Torrico , S. M. de Souza , M. Rojas , O. Rojas

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

Magnetic materials are typically described in terms of the Heisenberg model, which provides an accurate account of thermodynamic properties when combined with first principles calculations. This approach is usually based on an energy…

Materials Science · Physics 2020-12-04 Daniele Torelli , Thomas Olsen

Antiferromagnetic Heisenberg integer-spin chains are characterized by a spin-liquid ground state with no long-range order, due to the relevance of quantum fluctuations. Spin anisotropy, however, freezes quantum fluctuations, and the system…

Strongly Correlated Electrons · Physics 2007-05-23 M. Capone , S. Caprara , L. Cataldi

The $S=1$ bilinear-biquadratic Heisenberg exchange model on the triangular lattice with a single-ion anisotropy has previously been shown to host a number of exotic magnetic and nematic orders [Moreno-Cardoner $\textit{et al.}$, Phys. Rev.…

Strongly Correlated Electrons · Physics 2022-12-07 Urban F. P. Seifert , Lucile Savary

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

Statistical Mechanics · Physics 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

We show using extensive simulation results and physical arguments that an Ising system on a two dimensional square lattice, having interactions of random sign between first neighbors and ferromagnetic interactions between second neighbors,…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. Lemke , I. A. Campbell

The effect of the anisotropy in the exchange interaction on the phase diagrams and magnetization behavior of the Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling…

Statistical Mechanics · Physics 2015-06-17 Ümit Akıncı

We present Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice in the presence of non-magnetic impurities. We show that the…

Strongly Correlated Electrons · Physics 2015-06-05 Cédric Weber , Frédéric Mila

Spontaneous symmetry breaking of 2D isotropic Heisenberg magnet is restricted by Mermin-Wagner theorem at any finite temperature in presence of short-range exchange interaction.Kosterlitz and Thouless using XY spin model showed that how an…

Statistical Mechanics · Physics 2023-08-22 Nepal Banerjee

We study critical properties of the Kitaev-Heisenberg model on the honeycomb lattice at finite temperatures which might describe the physics of the quasi two-dimensional compounds, Na$_2$IrO$_3$ and Li$_2$IrO$_3$. The model undergoes two…

Strongly Correlated Electrons · Physics 2015-06-05 Craig Price , Natalia B. Perkins

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

Counterintuitive order-disorder phenomena emerging in antiferromagnetically coupled spin systems have been reported in various studies. Here we perform a systematic effective field theory analysis of two-dimensional bipartite quantum…

Strongly Correlated Electrons · Physics 2021-06-21 Christoph P. Hofmann

We report on a comprehensive characterization of the newly synthesized Cu$^{2+}$-based molecular magnet [Cu(pz)$_2$(2-HOpy)$_2$](PF$_6$)$_2$ (CuPOF), where pz = C$_4$H$_4$N$_2$ and 2-HOpy = C$_5$H$_4$NHO. From a comparison of theoretical…

The magnetic and entanglement thermal (equilibrium) properties in spin-1/2 Ising-Heisenberg model on a triangulated Kagome lattice are analyzed by means of variational mean-field like treatment based on Gibbs-Bogoliubov inequality. Because…

Quantum Physics · Physics 2010-12-30 N. S. Ananikian , L. N. Ananikyan , L. A. Chakhmakhchyan , A. N. Kocharian

We study the temperature-dilution phase diagram of a site-diluted Heisenberg antiferromagnet on a fcc lattice, with and without the Dzyaloshinskii-Moriya anisotropic term, fixed to realistic microscopic parameters for $IIB_{1-x} Mn_x Te$…

Disordered Systems and Neural Networks · Physics 2016-08-15 E. Marinari , V. Martín-Mayor , A. Pagnani

In the present work, we investigate the effects of long-range interactions on the phase transitions of two-dimensional ferromagnetic models with single-ion anisotropy at zero and finite temperatures. The Hamiltonian is given by…

Strongly Correlated Electrons · Physics 2015-06-19 A. R. Moura

We study finite temperature properties of metals close to an Ising-nematic quantum critical point in two spatial dimensions. In particular we show that at any finite temperature there is a regime where order parameter fluctuations are…

Strongly Correlated Electrons · Physics 2016-11-15 Matthias Punk
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