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Transfer-matrix methods, with the help of finite-size scaling and conformal invariance concepts, are used to investigate the critical behavior of two-dimensional square-lattice Ising spin-1/2 systems with first- and second-neighbor…

统计力学 · 物理学 2011-10-03 S. L. A. de Queiroz

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…

统计力学 · 物理学 2007-05-23 Lucia Canova , Jozef Strecka , Jan Dely

We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin…

强关联电子 · 物理学 2017-12-19 Po-Hao Huang , Jyong-Hao Chen , Adrain E. Feiguin , Claudio Chamon , Christopher Mudry

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

We study the Kitaev-Ising model, where ferromagnetic Ising interactions are added to the Kitaev model on a lattice. This model has two phases which are characterized by topological and ferromagnetic order. Transitions between these two…

量子物理 · 物理学 2013-03-27 Vahid Karimipour , Laleh Memarzadeh , Parisa Zarkeshian

Mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice with sublattices A, B and C are studied for two spin value distributions $(S_{\rm A},S_{\rm B},S_{\rm C})=(1/2,1/2,1)$ and $(1/2,1,1)$ by Monte Carlo simulations. The…

统计力学 · 物理学 2015-06-02 M. Žukovič , A. Bobák

We have elucidated the dynamic phase transition features and finite-size scaling analysis of the triangular lattice system under the presence of a square-wave magnetic field. It has been found that as the value of half-period of the…

统计力学 · 物理学 2017-06-13 Erol Vatansever

We study from tempered Monte Carlo simulations the magnetic phase diagram of a textured dipolar Ising model on a face centered cubic lattice. The Ising coupling of the model follow the dipole-dipole interaction. The Ising axes are…

统计力学 · 物理学 2020-01-09 V. Russier , J. -J. Alonso

The site-decorated Ising model is introduced to advance the understanding and experimental realization of the recently discovered one-dimensional (1D) finite-temperature ultranarrow phase crossover in an external magnetic field, while…

统计力学 · 物理学 2026-03-12 Weiguo Yin

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

统计力学 · 物理学 2013-01-23 Ike Q. Sikakana

We study an Ising spin system coupled to a fluctuating four-dimensional $Z_2$-Regge lattice and compare with the results of the four-dimensional Ising model on a regular lattice. Particular emphasis is placed on the phase transition of the…

高能物理 - 格点 · 物理学 2008-11-26 Elmar Bittner , Wolfhard Janke , Harald Markum

Using an exact mapping transformation method, magnetic properties of a spin-1/2 and spin-1 doubly decorated Ising-Heisenberg model are investigated in detail. By assuming that both interaction parameters are ferromagnetic, we found in…

统计力学 · 物理学 2015-06-24 Jozef Strecka , Michal Jascur

The spin-1/2 Ising model with a spin-phonon coupling on decorated planar lattices partially amenable to lattice vibrations is examined within the framework of the generalized decoration-iteration transformation and the harmonic…

统计力学 · 物理学 2015-05-30 Jozef Strecka , Onofre Rojas , Sergio Martins de Souza

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

强关联电子 · 物理学 2015-06-05 S. E. Korshunov

We explore the phase diagram of the O($n$) loop model on the square lattice in the $(x,n)$ plane, where $x$ is the weight of a lattice edge covered by a loop. These results are based on transfer-matrix calculations and finite-size scaling.…

统计力学 · 物理学 2013-07-15 Zhe Fu , Wenan Guo , Henk W. J. Blöte

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

Ground-state and finite-temperature phase diagrams of a geometrically frustrated spin-1/2 Ising-Heisenberg model on a triangle-hexagon lattice are investigated within the generalized star-triangle mapping transformation. It is shown that…

统计力学 · 物理学 2011-02-07 Jana Kissova , Jozef Strecka

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

统计力学 · 物理学 2019-01-31 Ran Huang , Purushottam D. Gujrati

We study the statistical Ising model of spins on the infinite lattice using a bootstrap method that combines spin-flip identities with positivity conditions, including reflection positivity and Griffiths inequalities, to derive rigorous…

高能物理 - 理论 · 物理学 2022-07-04 Minjae Cho , Barak Gabai , Ying-Hsuan Lin , Victor A. Rodriguez , Joshua Sandor , Xi Yin

We present a numerical study based on Monte Carlo algorithm of the magnetic properties of a mixed Ising ferrimagnetic model on a cubic lattice where spins $\sigma =\pm 1/2$ and spins $S=0,\pm 1$ are in alternating sites on the lattice. We…

统计力学 · 物理学 2015-05-13 G. M. Buendia , N. Hurtado