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We investigate magnetic properties of the ferromagnetic Ising model on square-triangle tilings to explore how the hyperuniformity, which characterizes long-range behavior of the point pattern, influences critical phenomena where long-range…

Statistical Mechanics · Physics 2025-09-23 Akihisa Koga , Shiro Sakai

With the developed "extended Monte Calro" (EMC) algorithm, we have studied the depinning transition in Ising-type lattice models by extensive numerical simulations, taking the random-field Ising model with a driving field and the driven…

Statistical Mechanics · Physics 2016-10-20 Lisha Sia , Xiaoyun Liao , Nengji Zhou

A new finite-size scaling approach based on the transfer matrix method is developed to calculate the critical temperature of anisotropic two-layer Ising ferromagnet, on strips of r wide sites of square lattices. The reduced internal energy…

Statistical Mechanics · Physics 2007-05-23 M. Ghaemi , M. Ghannadi , B. Mirza

We consider the random-bond +- J Ising model on a square lattice as a function of the temperature T and of the disorder parameter p (p=1 corresponds to the pure Ising model). We investigate the critical behavior along the…

Disordered Systems and Neural Networks · Physics 2009-07-22 F. Parisen Toldin , A. Pelissetto , E. Vicari

We investigate a frustrated Ising spin system on the garnet lattice composed of a specific network of corner-sharing triangles. By means of Monte Carlo simulations with the heat bath algorithm, we discuss the magnetic properties at finite…

Statistical Mechanics · Physics 2009-11-10 Takuya Yoshioka , Akihisa Koga , Norio Kawakami

The self-organized Monte Carlo simulations of 2D Ising ferromagnet on the square lattice are performed. The essence of devised simulation method is the artificial dynamics consisting of the single-spin-flip algorithm of Metropolis…

Computational Physics · Physics 2009-11-10 Denis Horvath , Martin Gmitra

We present a scalable machine learning (ML) framework for large-scale kinetic Monte Carlo (kMC) simulations of itinerant electron Ising systems. As the effective interactions between Ising spins in such itinerant magnets are mediated by…

Statistical Mechanics · Physics 2024-12-02 Alexa Tyberg , Yunhao Fan , Gia-Wei Chern

We study the time evolution of the two-dimensional kinetic Ising model in finite systems with a non-conserved order parameter, considering nearest-neighbour interactions on the square lattice with periodic and open boundary conditions.…

Statistical Mechanics · Physics 2019-03-15 James Denholm , Ben Hourahine

We study the critical behavior of the Ising model in annealed scale-free (SF) networks of finite system size with forced upper cutoff in degree. By mapping the model onto the weighted fully connected Ising model, we derive analytic results…

Statistical Mechanics · Physics 2009-11-26 Sang Hoon Lee , Meesoon Ha , Hawoong Jeong , Jae Dong Noh , Hyunggyu Park

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

Statistical Mechanics · Physics 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

The Ising model on ``thin'' graphs (standard Feynman diagrams) displays several interesting properties. For ferromagnetic couplings there is a mean field phase transition at the corresponding Bethe lattice transition point. For…

High Energy Physics - Lattice · Physics 2016-08-31 C. F. Baillie , D. A. Johnston , J-P. Kownacki

We discuss the finite-size scaling of the ferromagnetic Ising model on random regular graphs. These graphs are locally tree-like, and in the limit of large graphs, the Bethe approximation gives the exact free energy per site. In the…

Statistical Mechanics · Physics 2022-03-09 Suman Kulkarni , Deepak Dhar

We study the phase diagram and critical properties of quantum Ising chains with long-range ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha$, in regimes of direct interest for current trapped ion experiments.…

Statistical Mechanics · Physics 2021-10-13 E. Gonzalez-Lazo , M. Heyl , M. Dalmonte , A. Angelone

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

Strongly Correlated Electrons · Physics 2016-04-29 Stephan Hesselmann , Stefan Wessel

We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be…

Strongly Correlated Electrons · Physics 2018-10-03 Andrew Smerald , Frederic Mila

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…

Strongly Correlated Electrons · Physics 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

A two-dimensional spin-1/2 trilayer magnetic system with quenched non-magnetic impurity is studied. The lattice is formed by alternate layers of two different theoretical atoms A and B arranged in a particular fashion A-B-A. The…

Statistical Mechanics · Physics 2021-01-21 Sk Sajid , Muktish Acharyya

Motivated by the experimental realisation of the two-dimensional triangular spin lattice at the National Instate of Standards and Technology in 2012, we developed a new algorithm which allows a time evolution of an MPS with a Hamiltonian…

Strongly Correlated Electrons · Physics 2020-08-27 Tomohiro Hashizume

The fractal dimensions and the percolation exponents of the geometrical spin clusters of like sign at criticality, are obtained numerically for an Ising model with temperature-dependent annealed bond dilution, also known as the thermalized…

Statistical Mechanics · Physics 2012-04-03 S. Davatolhagh , M. Moshfeghian , A. A. Saberi