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Through the direct decoration transformation approach, we obtain a general solution for the pentagonal Ising model, showing its equivalence to the isotropic free-fermion eight-vertex model. We study the ground-state phase diagram, in which…

Statistical Mechanics · Physics 2015-03-19 M. Rojas , Onofre Rojas , S. M. de Souza

In order to study effects of frustration in an itinerant electron system, we investigate ground states of the antiferromagnetic double-exchange model on a triangular lattice. In this model, pseudo-spins are coupled to electron transfer…

Strongly Correlated Electrons · Physics 2009-11-11 Yoshihiro Shimomura , Shin Miyahara , Nobuo Furukawa

The magnetic behavior of a mixed Ising ferrimagnetic system on a square lattice, in which the two interpenetrating square sublattices have spins +- 1/2 and spins +-1,0, in the presence of an oscillating magnetic field has been studied with…

Condensed Matter · Physics 2009-10-31 G. M. Buendia , E. Machado

We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use the method of perturbative continuous unitary…

Strongly Correlated Electrons · Physics 2024-02-19 J. A. Koziol , M. Mühlhauser , K. P. Schmidt

We have studied the mixed spin-1/2 and 1 Ising ferrimagnetic system with a random anisotropy on a triangular lattice with three interpenetrating sublattices $A$, $B$, and $C$. The spins on the sublattices are represented by $\sigma_{A}$…

Statistical Mechanics · Physics 2023-05-26 E. S. de Santana , A. S. de Arruda , M. Godoy

The antiferromagnetic Ising model on the pyrochlore lattice exhibits a quantum phase transition in an applied transverse field from the low-field quantum spin-ice phase to the high-field polarized regime. Recent field-theoretical analysis…

Strongly Correlated Electrons · Physics 2018-12-04 Patrick Emonts , Stefan Wessel

We investigate magnetic properties of a two-dimensional periodic structure with Ising spins and antiferromagnetic nearest neighbor interaction. The structure is topologically equivalent to the Archimedean (3,12^2) lattice. The ground state…

Statistical Mechanics · Physics 2007-05-23 M. J. Krawczyk , K. Malarz , B. Kawecka-Magiera , A. Z. Maksymowicz , K. Kulakowski

We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in…

Strongly Correlated Electrons · Physics 2020-11-25 Sk Saniur Rahaman , Shaon Sahoo , Manoranjan Kumar

The antiferromagnetic Ising model in small-world networks generated from two-dimensional regular lattices has been studied. The disorder introduced by long-range connections causes frustration, which gives rise to a spin-glass phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-13 Carlos P. Herrero

Synthetic antiferromagnets with strong perpendicular anisotropy can be modeled by layered Ising antiferromagnets. Accounting for the fact that in the experimental systems the ferromagnetic layers, coupled antiferromagnetically via spacers,…

Statistical Mechanics · Physics 2014-07-30 James Mayberry , Keith Tauscher , Michel Pleimling

The Ising antiferromagnets on the triangular and on the pyrochlore lattices are two of the most iconic examples of magnetic frustration, paradigmatically illustrating many exotic properties such as emergent gauge fields, fractionalisation,…

Strongly Correlated Electrons · Physics 2024-02-02 Jonathan N. Hallén , Claudio Castelnovo , Roderich Moessner

Mixed-spin Ising model on a decorated Bethe lattice is rigorously solved by combining the decoration-iteration transformation with the method of exact recursion relations. Exact results for critical lines, compensation temperatures, total…

Statistical Mechanics · Physics 2013-01-31 Jozef Strecka , Cesur Ekiz

We present a study of a classical ferrimagnetic model on a square lattice in which the two interpenetrating square sublattices have spins one-half and one. This model is relevant for understanding bimetallic molecular ferrimagnets that are…

Condensed Matter · Physics 2009-10-28 G. M. Buendia , M. A. Novotny

Experimental advances in condensed matter physics and material science have enabled ready access to atomic-resolution images, with resolution of modern tools often sufficient to extract minute details of symmetry-breaking distortions such…

Statistical Mechanics · Physics 2019-09-23 Sai Mani Prudhvi Valleti , Lukas Vlcek , Rama K. Vasudevan , Sergei V. Kalinin

An anyon-chain-like lattice model with symmetry described by the Ising fusion category is studied. Combining numerical and analytical studies, we uncover a rich phase diagram that contains three phases: a symmetric critical phase and two…

Strongly Correlated Electrons · Physics 2026-04-23 Soumil Roychowdhury , Chenjie Wang

A three-dimensional layered Ising-Antiferromagnet with a ferromagnetic intra-layer coupling to z neighbors, zJ > 0, and an antiferromagnetic interlayer coupling to z' neighbors, z'J' < 0, is investigated by Monte Carlo simulations on a…

Statistical Mechanics · Physics 2017-08-23 O. Petracic , Ch. Binek , W. Kleemann

The spin-1/2 Heisenberg antiferromagnet on the frustrated diamond-decorated square lattice is known to feature various zero-field ground-state phases, consisting of extended monomer-dimer and dimer-tetramer ground states as well as a…

Strongly Correlated Electrons · Physics 2023-03-27 Nils Caci , Katarina Karlova , Taras Verkholyak , Jozef Strecka , Stefan Wessel , Andreas Honecker

Magnetizations of ferro- and antiferromagnetic Ising models with frustration on diamond hierarchical lattices are exactly obtained at zero temperature. For the zero-field classical spin-liquid phase found in [Kobayashi {\it et al}, J. Phys.…

Statistical Mechanics · Physics 2016-08-10 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

Owing to a high degree of geometrical frustration an Ising antiferromagnet on a kagome lattice (IAKL) is known to exhibit no long-range ordering at any temperature, including the ground state. Nevertheless, at low temperatures it shows a…

Statistical Mechanics · Physics 2020-07-08 M. Semjan , M. Žukovič

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to…

Condensed Matter · Physics 2009-10-28 C. Zeng , C. L. Henley