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Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

统计力学 · 物理学 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

The one-dimensional transverse Ising model is a paradigmatic example of quantum criticality. In spin-orbit coupled systems, however, effective Ising interactions arise alongside bond-dependent couplings such as Kitaev ($K$) and $\Gamma$…

强关联电子 · 物理学 2026-03-17 Mandev Bhullar , Philip Richard , Hae-Young Kee

Magnetic frustrations and dimensionality play an important role in determining the nature of the magnetic long-range order and how it melts at temperatures above the ordering transition $T_N$. In this work, we use large-scale Monte Carlo…

统计力学 · 物理学 2022-01-03 Matthew W. Butcher , Makariy A. Tanatar , Andriy H. Nevidomskyy

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

强关联电子 · 物理学 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with…

无序系统与神经网络 · 物理学 2009-01-02 Thomas Jorg , Federico Ricci-Tersenghi

We investigate the effective interaction between two localized spin impurities embedded in a frustrated spin-1/2 $J_1\!-\!J_2$ Heisenberg chain. Treating the impurity spins as classical moments coupled locally to the host, we combine…

强关联电子 · 物理学 2026-02-25 Maksymilian Kliczkowski , Jakub Grabowski , Maciej M. Maśka

We consider the entanglement in a two dimensional XY model in an external magnetic field h. The model consists of a set of 7 localized spin-1/2 particles in a two dimensional triangular lattice coupled through nearest neighbor exchange…

强关联电子 · 物理学 2012-04-17 Gehad Sadiek , Qing Xu , Sabre Kais

The spin-1/2 J1-J2 antiferromagnet is a prototypical model for frustrated magnetism and one possible candidate for a realization of a spin liquid phase. The generalization of this system on the anisotropic square lattice is given by the…

强关联电子 · 物理学 2014-06-25 Alexandros Metavitsiadis , Daniel Sellmann , Sebastian Eggert

The two-dimensional frustrated next nearest neighbor Heisenberg model on the square lattice is a prime example for a spin system where quantum fluctuations can either destroy or stabilize magnetic order. The phase boundaries and staggered…

强关联电子 · 物理学 2011-03-11 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier

The mixed-spin Ising model on a decorated square lattice with two different decorating spins of the integer magnitudes S_B = 1 and S_C = 2 placed on horizontal and vertical bonds of the lattice, respectively, is examined within an exact…

统计力学 · 物理学 2009-11-13 Lucia Canova , Jozef Strecka , Michal Jascur

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…

统计力学 · 物理学 2021-08-17 Claudio J DaSilva , L. S. Ferreira , A. A. Caparica

In this work, we investigate the phase transitions and critical behaviors of the frustrated J1-J2-J3 Ising model on the square lattice using Monte Carlo simulations, and particular attention goes to the effect of the second next nearest…

统计力学 · 物理学 2016-03-10 R. M. Liu , W. Z. Zhuo , S. Dong , X. B. Lu , X. S. Gao , M. H. Qin , J. -M. Liu

The mixed spin-1/2 and spin-S Ising model on a decorated planar lattice accounting for lattice vibrations of decorating atoms is treated by making use of the canonical coordinate transformation, the decoration-iteration transformation, and…

统计力学 · 物理学 2018-11-19 Jozef Strecka , Matus Rebic , Onofre Rojas , Sergio Martins de Souza

We study the $S = 1$ triangular lattice Ising antiferromagnet by Monte Carlo simulations. Frustrations between a major antiferromagnetic third-neighbor interaction $J_3$ and a minor ferromagnetic nearest-neighbor interaction $J_1$ cause…

统计力学 · 物理学 2014-07-31 Yusuke Tomita , Milan Žukovič

Finite temperature quantum Monte Carlo simulations are performed on the anisotropic t-J model and in particular on its Ising limit. Straight site-centered stripes are imposed by an on-site potential representing external mechanisms of…

超导电性 · 物理学 2009-11-07 Jose A. Riera

We study by numerical simulation the magnetic order in ensembles of randomly packed magnetic spherical particles which, induced by their uniaxial anisotropy in the strong coupling limit, behave as Ising dipoles. We explore the role of the…

统计力学 · 物理学 2023-10-05 J. J. Alonso , B. Alles , J. G. Malherbe , V. Russier

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

统计力学 · 物理学 2009-10-31 Huseyin Kaya , A. Nihat Berker

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

强关联电子 · 物理学 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

强关联电子 · 物理学 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

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 $\sigma_{A}$…

统计力学 · 物理学 2023-05-26 E. S. de Santana , A. S. de Arruda , M. Godoy