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Motivated by a recent proposal of a Bethe approximation for the triangular Ising antiferromagnet [Phys. Rev. B {\bf 56}, 8241 (1997)], which seems to predict a disordered phase at any temperature in zero field, we analyze in some detail…

Statistical Mechanics · Physics 2009-10-31 Alessandro Pelizzola , Marco Pretti

The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained…

Statistical Mechanics · Physics 2009-11-10 Prabodh Shukla

The mean field solution of the Ising model on a Barabasi-Albert scale-free network with ferromagnetic coupling between linked spins is presented. The critical temperature $T_c$ for the ferromagnetic to paramagnetic phase transition (Curie…

Statistical Mechanics · Physics 2009-11-07 Ginestra Bianconi

We apply to the Random Field Ising Model at zero temperature (T= 0) the perturbative loop expansion around the Bethe solution. A comparison with the standard epsilon-expansion is made, highlighting the key differences that make the new…

Disordered Systems and Neural Networks · Physics 2020-02-06 Maria Chiara Angelini , Carlo Lucibello , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

The inverse Ising problem consists in inferring the coupling constants of an Ising model given the correlation matrix. The fastest methods for solving this problem are based on mean-field approximations, but which one performs better in the…

Disordered Systems and Neural Networks · Physics 2012-08-28 Federico Ricci-Tersenghi

Magnetization and specific heat measurements on a UIrSi3 single crystal reveal Ising-like antiferromagnetism below T$_N$ = 41.7 K with easy magnetization direction along the c-axis of tetragonal structure. The antiferromagentic ordering is…

A static scission configuration in cold ternary fission has been considered in the framework of mean field approach. The inverse scattering method is applied to solve single-particle Schroedinger equation, instead of constrained…

Nuclear Theory · Physics 2015-06-26 V. G. Kartavenko , A. Sandulescu , W. Greiner

The large amounts of data from molecular biology and neuroscience have lead to a renewed interest in the inverse Ising problem: how to reconstruct parameters of the Ising model (couplings between spins and external fields) from a number of…

Disordered Systems and Neural Networks · Physics 2012-08-13 H. Chau Nguyen , Johannes Berg

We consider the single-spin-flip dynamics of the random-field Ising model on a Bethe lattice at zero temperature in the presence of a uniform external field. We determine the average magnetization as the external field is varied from minus…

Statistical Mechanics · Physics 2009-10-28 Deepak Dhar , Prabodh Shukla , James P. Sethna

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

Statistical Mechanics · Physics 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa

A classical lattice spin model wrapped on a cylinder is profitably viewed as a chain of rings of spins. From that perspective, mutual information between ring configurations plays much the same role as spin-spin correlation functions in…

Statistical Mechanics · Physics 2018-10-23 Amir Nourhani , Vincent H. Crespi , Paul E. Lammert

We have analyzed the two-dimensional antiferromagnetic Heisenberg model on the triangular lattice using a Schwinger boson mean-field theory. By expanding around a state with local $120^\circ$ order, we obtain, in the limit of infinite spin,…

Condensed Matter · Physics 2016-08-31 Ann Mattsson

The mean-field and effective-field approximations are applied in the study of magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types…

Statistical Mechanics · Physics 2017-11-02 I J L Diaz , N S Branco

Using a Monte Carlo coarse-graining technique introduced by Binder et al., we have explicitly constructed the continuum field theory for the zero-temperature triangular Ising antiferromagnet. We verify the conjecture that this is a gaussian…

Statistical Mechanics · Physics 2009-10-31 Hui Yin , Bulbul Chakraborty , Nicholas Gross

A transverse magnetic field $\Gamma$ is known to induce antiferromagnetic three-sublattice order of the Ising spins $\sigma^z$ in the triangular lattice Ising antiferromagnet at low enough temperature. This low-temperature order is known to…

Statistical Mechanics · Physics 2018-02-14 Sounak Biswas , Kedar Damle

A static scission configuration in cold ternary fission has been considered in the framework of two mean field approaches. The virial theorems has been suggested to investigate correlations in the phase space, starting from a kinetic…

Nuclear Theory · Physics 2017-08-23 V. G. Kartavenko , A. Sandulescu , W. Greiner

In this note we study the mean field equations for the $3d$ Random Field Ising Model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different…

Condensed Matter · Physics 2009-10-22 M. Guagnelli , E. Marinari , G. Parisi

We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to quantum annealing of the random-field Ising model to accelerate convergence toward the target ground state. The conventional approach using…

Quantum Physics · Physics 2007-06-13 Sei Suzuki , Hidetoshi Nishimori , Masuo Suzuki

We solved the equilibrium meanfield equation of state of Ising ferromagnet (obtained from Bragg-Williams theory) by Newton-Raphson method. The number of iterations required to get a convergent solution (within a specified accuracy) of…

Statistical Mechanics · Physics 2011-05-31 M. Acharyya , A. B. Acharyya

The Schwinger boson mean field theory is applied to the quantum ferrimagnetic Heisenberg chain. There is a ferrimagnetic long range order in the ground state. We observe two branches of the low lying excitation and calculate the spin…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Bin Chen , Xi Dai , Yue Yu , Zhao-Bin Su
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