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We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

Statistical Mechanics · Physics 2009-11-10 Palani Sundaramurthy , D. L. Stein

We study a spin system with both mixed even-spin Sherrington-Kirkpatrick (SK) couplings and Curie-Weiss (CW) interaction. Our main results are: (i) The thermodynamic limit of the free energy is given by a variational formula involving the…

Probability · Mathematics 2012-12-03 Wei-Kuo Chen

A spin-1/2, Ising trilayered ferrimagnetic system on square Bravais lattice is studied, employing Monte-Carlo simulation with the single spin-flip Metropolis algorithm. The bulk of such a system is formed by three layers, each of which is…

Statistical Mechanics · Physics 2021-01-13 Soham Chandra

Thermodynamic properties of the quantum Heisenberg spin chains with S = 1/2, 1, and 3/2 are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat,…

Strongly Correlated Electrons · Physics 2009-10-31 Tao Xiang

We compute the exact partition function of 2d Ising spin glasses with binary couplings. In these systems, the ground state is highly degenerate and is separated from the first excited state by a gap of size 4J. Nevertheless, we find that…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Lukic , A. Galluccio , E. Marinari , Olivier C. Martin , G. Rinaldi

Using transfer matrix and finite-size scaling methods, we study the thermodynamic behavior of a lattice gas with two kinds of particles on the square lattice. Only excluded volume interactions are considered, so that the model is athermal.…

Statistical Mechanics · Physics 2015-09-03 T. J. Oliveira , J. F. Stilck

Transport properties in the presence of magnetic fields are numerically studied for the spin-1/2 Heisenberg XXZ chain. The breakdown of the spin-reversal symmetry due to the magnetic field induces the magnetothermal effect. In analogy with…

Statistical Mechanics · Physics 2007-05-23 Shunsuke Furukawa , Dai Ikeda , Kazumitsu Sakai

We analyze the thermodynamic properties of the spin-S two-dimensional quantum Heisenberg antiferromagnet on a square lattice with nearest and next-nearest neighbor couplings in the Neel phase (J_2/J_1<0.4) employing the quantum hierarchical…

Strongly Correlated Electrons · Physics 2009-11-11 Leonardo Spanu , Alberto Parola

We have performed large-scale Monte Carlo simulations on a two-dimensional generalized Ashkin-Teller model to calculate the thermodynamic properties in the critical region near its transitions. The Ashkin-Teller model has a pair of Ising…

Strongly Correlated Electrons · Physics 2009-03-05 M. S. Gronsleth , T. B. Nilssen , E. K. Dahl , E. B. Stiansen , C. M. Varma , A. Sudbo

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

Statistical Mechanics · Physics 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty

We introduce a growing one-dimensional quenched spin model that bases on asymmetrical one-side Ising interactions in the presence of external field. Numerical simulations and analytical calculations based on Markov chain theory show that…

Physics and Society · Physics 2014-05-13 Julian Sienkiewicz , Krzysztof Suchecki , Janusz A. Hołyst

We study the phase diagram and finite temperature properties of an integrable generalization of the one-dimensional super-symmetric t-J model containing interactions explicitly breaking parity-time reversal (PT) symmetries. To this purpose,…

Statistical Mechanics · Physics 2017-08-08 T. S. Tavares , G. A. P. Ribeiro

We consider the thermodynamic properties of a rotating gas of fermions. We begin by constructing the thermodynamic potential $\Phi$ and its associated current $\phi^\mu$ within the grand canonical ensemble of a macroscopic rigidly rotating…

High Energy Physics - Theory · Physics 2025-09-23 Victor E. Ambrus , Aleksandar Gecić

We derive the high-temperature expansion of the Helmholtz free energy up to the order \beta^{17} of the one-dimensional spin-S Ising model, with single-ion anisotropy term, in the presence of a longitudinal magnetic field. We show that the…

Statistical Mechanics · Physics 2012-04-27 M. T. Thomaz , O. Rojas

The anisotropic antiferromagnetic Ising model on the fractal Sierpi\'{n}ski gasket is intensively studied, and a number of exotic properties are disclosed. The ground state phase diagram in the plane of magnetic field-interaction of the…

Statistical Mechanics · Physics 2015-12-21 Meng Wang , Shi-Ju Ran , Tao Liu , Yang Zhao , Qing-Rong Zheng , Gang Su

The emergence of complex modulated structures in the magnetization pattern of thin films is a well-established experimental phenomenology caused by the frustrating effects of competing interactions. Using a coarse-grained version of the…

Using a simple model of a frustrated helimagnet, the critical behavior is numerically investigated for planar or isotropic spins, and for cases of one or two chiral order parameters. The helical structure in this model arises from the…

Strongly Correlated Electrons · Physics 2020-08-20 A. O. Sorokin

Using Monte Carlo simulations we show that the three-dimensional Ising model with four-spin (plaquette) interactions has some characteristic glassy features. The model dynamically generates diverging energy barriers, which give rise to slow…

Statistical Mechanics · Physics 2015-06-25 A. Lipowski , D. Johnston

Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order phase transition are clearly visible for…

Condensed Matter · Physics 2015-06-24 Michel Pleimling , Alfred Hueller

Spin-polarized scanning tunneling microscopy investigations reveal a significant increase of the magnetic period of spin spirals in three-atomic-layer-thick Fe films on Ir(111), from about 4nm at 8K to about 65nm at room temperature. We…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Aurore Finco , Levente Rózsa , Pin-Jui Hsu , André Kubetzka , Elena Vedmedenko , Kirsten von Bergmann , Roland Wiesendanger