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CoNb$_2$O$_6$ is a unique magnetic material. It features bulk three-dimensional magnetic order at low temperatures, but its quantum critical behavior in a magnetic field is well described by the one-dimensional transverse-field Ising…

Strongly Correlated Electrons · Physics 2026-01-01 Logan Sowadski , Thomas Vojta

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

Disordered Systems and Neural Networks · Physics 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

The thermal and ground state properties of a class of three-dimensional (3D) random-exchange spin-1/2 antiferromagnets are studied using first principles quantum Monte Carlo method. Our motivation is to examine whether the newly discovered…

Disordered Systems and Neural Networks · Physics 2015-04-22 D. -R. Tan , F. -J. Jiang

A system defined by two coupled Ising models, with a bimodal random field acting in one of them, is investigated. The interactions among variables of each Ising system are infinite-ranged, a limit where mean field becomes exact. This model…

Statistical Mechanics · Physics 2014-06-24 Octavio D. Rodriguez Salmon , Fernando Dantas Nobre

We investigate the universality class of the finite-temperature phase transition of the two-dimensional Ising model with the algebraically decaying ferromagnetic long-range interaction, $J_{ij} = |\vec{r}_i -\vec{r}_j|^{-(d+\sigma)}$, where…

Statistical Mechanics · Physics 2017-09-28 Toshiki Horita , Hidemaro Suwa , Synge Todo

The random transverse-field Ising ferromagnet (RTFIF) is a highly disordered quantum system which contains randomness in the coupling strengths as well as in the transverse-field strengths. In one dimension, the critical properties are…

Disordered Systems and Neural Networks · Physics 2023-10-24 Jiwon Choi , Seung Ki Baek

The quantum critical behavior and the Griffiths-McCoy singularities of random quantum Ising ferromagnets are studied by applying a numerical implementation of the Ma-Dasgupta-Hu renormalization group scheme. We check the procedure for the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Y. -C. Lin , N. Kawashima , F. Igloi , H. Rieger

The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D-ferromagnetic Ising model on three dimensional Voronoi-Delaunay lattices. It is assumed that the coupling factor $J$ varies with the distance…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. W. S. Lima , U. M. S. Costa , R. N. Costa Filho

The high-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy ion collisions. In this paper, using parametric representation of the 3-dimensional Ising model, the sign…

Nuclear Theory · Physics 2021-06-17 Xue Pan , Mingmei Xu , Yuanfang Wu

We study hysteresis in anti-ferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -$\infty$ and $\infty$. Two different distributions of the random-field are considered, (i) a uniform…

Disordered Systems and Neural Networks · Physics 2011-06-27 Lobisor Kurbah , Prabodh Shukla

Within the framework of the effective-field theory with correlations we investigate effects of an external magnetic field and random site dilution on basic thermodynamic quantities, such as the magnetization and the magnetic susceptibility,…

Statistical Mechanics · Physics 2023-07-19 M. Borovský , M. Žukovič , A. Bobák

The four dimensional Gaussian random field Ising magnet is investigated numerically at zero temperature, using samples up to size $64^4$, to test scaling theories and to investigate the nature of domain walls and the thermodynamic limit. As…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton

The equilibrium and non--equilibrium disorder induced phase transitions are compared in the random-field Ising model (RFIM). We identify in the demagnetized state (DS) the correct non-equilibrium hysteretic counterpart of the T=0 ground…

Statistical Mechanics · Physics 2009-11-10 F. Colaiori , M. J. Alava , G. Durin , A. Magni , S. Zapperi

We study the critical behavior of the one-dimensional random field Ising model (RFIM) with long-range interactions ($\propto r^{-(d+\sigma)}$) by the nonperturbative functional renormalization group. We find two distinct regimes of critical…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus , Matthieu Tissier

We study the properties of one-dimensional gapped Heisenberg antiferromagnets in the presence of an arbitrary strong staggered magnetic field. For these systems we predict a universal form for the staggered magnetization curve. This…

Strongly Correlated Electrons · Physics 2009-10-31 Sergei Maslov , Andrey Zheludev

The structure of the three-dimensional random field Ising magnet is studied by ground state calculations. We investigate the percolation of the minority spin orientation in the paramagnetic phase above the bulk phase transition, located at…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. T. Seppälä , A. M. Pulkkinen , M. J. Alava

The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of…

Disordered Systems and Neural Networks · Physics 2022-05-20 Stefan Boettcher

Histogram analysis of Monte-Carlo simulation results of the Ising antiferromagnet on a stacked triangular lattice are reported. Finite-size scaling estimates for critical exponents suggest $XY$ universality. This result supports earlier…

Condensed Matter · Physics 2007-05-23 M. L. Plumer , A. Mailhot

Phase transitions in the three-dimensional diluted Ising antiferromagnet in an applied magnetic field are analyzed numerically. It is found that random magnetic field in a system with spin concentration below a certain threshold induces a…

Other Condensed Matter · Physics 2009-11-11 V. V. Prudnikov , V. N. Borodikhin

We study the probability distribution function of the ground-state energies of the disordered one-dimensional Ising spin chain with power-law interactions using a combination of parallel tempering Monte Carlo and branch, cut, and price…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Mathias Koerner , Frauke Liers , Michael Juenger , A. K. Hartmann