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Numerical methods are used to examine the thermodynamic characteristics of the two-dimensional Ising model as a function of the number of spins N. Onsager's solution is generalized to a finite-size lattice, and experimentally validated…

Disordered Systems and Neural Networks · Physics 2017-06-09 M. Yu. Malsagov , I. M. Karandashev , B. V. Kryzhanovsky

Recent developments in the engineering of metamaterials have brought forth a myriad of mesmerizing mechanical properties that do not exist in ordinary solids. Among these, twisting metamaterials, acoustical chirality, or Willis coupling are…

Twisted transition metal dichalcogenides (tTMDs) provide a highly tunable platform to explore the interplay between strong correlation and topology. Among them, the properties involving the charge degree of freedom have been extensively…

Strongly Correlated Electrons · Physics 2025-08-25 Wei-Tao Zhou , Zhao-Yang Dong , Zhao-Long Gu , Jian-Xin Li

The purpose of the present work is to apply the method recently developed in reference [chain_m] to the spin-1 Ising chain, showing how to obtain analytical $\beta$-expansions of thermodynamical functions through this formalism. In this…

Condensed Matter · Physics 2009-11-07 Winder A. Moura-Melo , Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

We study finite temperature properties of metals close to an Ising-nematic quantum critical point in two spatial dimensions. In particular we show that at any finite temperature there is a regime where order parameter fluctuations are…

Strongly Correlated Electrons · Physics 2016-11-15 Matthias Punk

Resonant energy transport in dense, disordered dipolar spin ensembles relaxes far more slowly than predicted by exchange-only theories. We identify the missing mechanism as an Ising blockade: configuration-dependent diagonal interactions…

Quantum Physics · Physics 2026-05-26 Hong-Ze Ding , Jiu-Qing Liang

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

We solve the growing asymmetric Ising model [Phys. Rev. E 89, 012105 (2014)] in the topologies of deterministic and stochastic (random) scale-free trees predicting its non-monotonous behavior for external fields smaller than the coupling…

Statistical Mechanics · Physics 2014-10-14 Julian Sienkiewicz

Spontaneous symmetry breaking occurs in various equilibrium and nonequilibrium systems, where phase transitions are typically marked by a single critical point that separates ordered and disordered regimes. We reveal a novel phenomenon in…

Thermodynamic and magnetocaloric properties of geometrically frustrated Ising spin clusters of selected shapes and sizes are studied by exact enumeration. In the ground state the magnetization and the entropy show step-wise variations with…

Statistical Mechanics · Physics 2014-12-19 Milan Žukovič

Thermal and magnetic effects in a system consisting of thin layers of coupled Ising spins with $S=1/2$ and $S=1$ are considered. The specific heat and the correlation length display maxima at two different temperatures. It is discussed in…

Statistical Mechanics · Physics 2016-08-31 Dragi Karevski , Malte Henkel

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

An exhaustive numerical investigation of the growth of magnetic films in confined $(d+1)$-dimensional stripped geometries ($d=1,2$) is carried out by means of extensive Monte Carlo simulations. Thin films in contact with a thermal bath are…

Condensed Matter · Physics 2009-11-07 Julián Candia , Ezequiel V. Albano

It is argued that the specific heat of amorphous solids at low temperatures can be understood to arise from a single branch of collective modes. The idea is illustrated in a model of a correlated spin glass for which magnetic anisotropies…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Hector Ochoa

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same…

Statistical Mechanics · Physics 2010-04-16 Nikolaos G. Fytas , Anastasios Malakis

We investigate the mechanical behavior of a confined granular packing of irregular polyhedral particles under repeated heating and cooling cycles by means of numerical simulations with the Non-Smooth Contact Dynamics method. Assuming a…

Thermal quenching has been used to find metastable materials such as hard steels and metallic glasses. More recently, quenching-based phase control has been applied to correlated electron systems that exhibit metal--insulator, magnetic or…

Materials Science · Physics 2025-04-25 Hiroshi Oike , Hidemaro Suwa , Yasunori Takahashi , Fumitaka Kagawa

We investigate the Ising model on a spherical surface, utilizing a Fibonacci lattice to approximate uniform coverage. This setup poses challenges in achieving consistent lattice distribution across the sphere for comparison with planar…

Computational Physics · Physics 2025-12-09 Zheng Zhou , Chen-Hui Song , Xu-Yang Hou , Hao Guo

We study finite temperature properties of a generic spin-orbital model relevant to transition metal compounds, having coupled quantum Heisenberg-spin and Ising-orbital degrees of freedom. The model system undergoes a phase transition,…

Strongly Correlated Electrons · Physics 2009-11-20 C. -C. Chen , B. Moritz , J. van den Brink , T. P. Devereaux , R. R. P. Singh

The two-dimensional Ising model with nearest-neighbor ferromagnetic and long-range dipolar interactions exhibits a rich phase diagram. The presence of the dipolar interaction changes the ferromagnetic ground state expected for the pure…

Statistical Mechanics · Physics 2010-02-18 Leandro G. Rizzi , Nelson A. Alves