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We study the two-dimensional antiferromagnetic Ising model with a purely imaginary magnetic field, which can be thought of as a toy model for the usual $\theta$ physics. Our motivation is to have a benchmark calculation in a system which…

High Energy Physics - Lattice · Physics 2017-09-15 Vicente Azcoiti , Giuseppe Di Carlo , Eduardo Follana , Eduardo Royo-Amondarain

The ferromagnetic Ising model on an $n\times n$ square lattice region $\Lambda$ with mixed boundary conditions can exhibit a phase transition as temperature varies. For this spin system, if we fix the spins on the top and bottom sides of…

Discrete Mathematics · Computer Science 2026-05-26 David Gillman , Dana Randall

We present a theoretical study aimed to elucidate the origin of the inverse symmetry breaking transition observed in ultrathin magnetic films with perpendicular anisotropy. We study the behavior of the dipolar frustrated Ising model in a…

Statistical Mechanics · Physics 2015-03-20 Luciana Araújo Velasque , Daniel A. Stariolo , Orlando V. Billoni

The two-dimensional Ising model on a distorted Kagom\'{e} lattice is studied by means of exact solutions and the tensor renormalisation group (TRG) method. The zero-field phase diagrams are obtained, where three phases such as…

Statistical Mechanics · Physics 2010-10-27 Wei Li , Shou-Shu Gong , Yang Zhao , Shi-Ju Ran , Song Gao , Gang Su

The rare-earth magnet TmMgGaO$_{4}$ is proposed to be an intrinsic quantum Ising magnet described by the antiferromagnetic transverse field Ising model (TFIM) on a triangular lattice, where the relevant degrees of freedom are the…

Strongly Correlated Electrons · Physics 2020-10-07 Changle Liu , Chun-Jiong Huang , Gang Chen

Magnetic properties of a ternary-spin Ising model on the decorated square lattice are studied within a generalized decoration-iteration transformation. Depending on the mutual ratio between exchange interactions and the single-ion…

Statistical Mechanics · Physics 2007-05-23 Lucia Canova , Jozef Strecka , Jan Dely

We study magnetism on the fcc lattice with tetragonal distortions, with general exotic directional magnetic interactions allowed by symmetry. We consider two models, corresponding to a uniform tetragonal distortion, or a two-sublattice…

Strongly Correlated Electrons · Physics 2014-12-05 Hiroaki Ishizuka , Leon Balents

We consider the effects of the magnetic field on the frustrated phase states of the dilute Ising chain, especially, the behavior of the magnetic entropy change and the isentropic dependence of the temperature on the magnetic field, which…

Statistical Mechanics · Physics 2023-01-30 A. V. Shadrin , Yu. D. Panov

We study diluted antiferromagnetic Ising models on triangular and kagome lattices in a magnetic field, using the replica-exchange Monte Carlo method. We observe seven and five plateaus in the magnetization curve of the diluted…

Computational Physics · Physics 2019-05-01 Konstantin Soldatov , Alexey Peretyatko , Konstantin Nefedev , Yutaka Okabe

The presence of competing interactions due to geometry leads to frustration in quantum spin models. As a consequence, the ground state of such systems often displays a large degeneracy that can be lifted due to thermal or quantum effects.…

Statistical Mechanics · Physics 2024-08-23 Pratyankara Narasimhan , Stephan Humeniuk , Ananda Roy , Victor Drouin-Touchette

We theoretically study photoinduced magnetic phase transitions and their dynamical processes in the Kondo-lattice model on a cubic lattice. It is demonstrated that light irradiation gives rise to magnetic phase transitions from the…

Strongly Correlated Electrons · Physics 2025-04-18 Ryo Hamano , Masahito Mochizuki

A classical lattice spin model wrapped on a cylinder is profitably viewed as a chain of rings of spins. From that perspective, mutual information between ring configurations plays much the same role as spin-spin correlation functions in…

Statistical Mechanics · Physics 2018-10-23 Amir Nourhani , Vincent H. Crespi , Paul E. Lammert

We numerically compute the temperature dependence of spin structure factor and thermodynamic quantities in the antiferromagnetic quantum Ising model in the pyrochlore lattice. This model exhibits spin disorder ground state with…

Statistical Mechanics · Physics 2015-06-03 Cheng-Ju Lin , Chen-Nan Liao , Chyh-Hong Chern

Three 2D spin models made of frustrated zig-zag chains with competing interactions which by exact summation with respect to some degrees of freedom can be replaced by an effective temperature-dependent interaction were considered. The first…

Statistical Mechanics · Physics 2024-03-28 Jozef Sznajd

We investigate the final state of zero-temperature Ising ferromagnets which are endowed with single-spin flip Glauber dynamics. Surprisingly, the ground state is generally not reached for zero initial magnetization. In two dimensions, the…

Statistical Mechanics · Physics 2009-11-07 V. Spirin , P. L. Krapivsky , S. Redner

We study the ground state properties of the anisotropic spin-1/2 Heisenberg model on lattices built from ideal diamond units with competing ferro- and antiferromagnetic interactions. The study covers the one-dimensional diamond chain and…

Strongly Correlated Electrons · Physics 2026-01-07 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

We propose a new approach to the (ferromagnetic) Kondo-lattice model in the low density region, where the model is thought to give a reasonable frame work for manganites with perovskite structure exhibiting the "colossal magnetoresistance"…

Strongly Correlated Electrons · Physics 2009-11-07 W. Nolting , G. G. Reddy , A. Ramakanth , D. Meyer

The parallel-tempering method has been applied to numerically study the thermodynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak…

Disordered Systems and Neural Networks · Physics 2008-02-04 V. Prudnikov , A. Vakilov , E. Filikanov

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

Spangolite (Cu$_6$Al(SO$_4$)(OH)$_{12}$Cl$\cdot$3H$_2$O) is a hydroxy-hydrated copper sulfate mineral with a one-seventh depleted triangular lattice of Cu$^{2+}$ ions in each layer. Experimental measurements revealed a non-magnetic ground…

Strongly Correlated Electrons · Physics 2025-08-18 Philipp Schmoll , Harald O. Jeschke , Yasir Iqbal
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