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We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations of the quenched disorder decaying…

Disordered Systems and Neural Networks · Physics 2015-05-28 Björn Ahrens , Alexander K. Hartmann

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

Statistical Mechanics · Physics 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói

The quantum ferromagnetic transition of itinerant electrons is considered. We give a pedagogical review of recent results which show that zero-temperature soft modes that are commonly neglected, invalidate the standard…

Statistical Mechanics · Physics 2009-10-28 D. Belitz , T. R. Kirkpatrick

In several unconventional superconductors, the highest superconducting transition temperature $T_{c}$ is found in a region of the phase diagram where the antiferromagnetic transition temperature extrapolates to zero, signaling a putative…

Superconductivity · Physics 2017-05-31 Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

High-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy-ion collision experiments. In this paper, using the parametric representation of the three-dimensional Ising model which…

Nuclear Theory · Physics 2022-03-22 Xue Pan

Magnetic behaviour of a mixed spin-1/2 and spin-1 Ising model on the diced lattice is studied by the use of an exact star-triangle mapping transformation. It is found that the uniaxial as well as biaxial single-ion anisotropy acting on the…

Statistical Mechanics · Physics 2011-07-28 Michal Jascur , Jozef Strecka

We develop a theory of the critical point of the ferromagnetic Ising model, whose basic objects are the ergodic (pure) states of the infinite system. It proves the existence of anomalous critical fluctuations, for dimension $\nu=2$ and,…

Mathematical Physics · Physics 2024-05-10 Domingos H. U. Marchetti , Manfred Requardt , Walter F. Wreszinski

We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical…

Statistical Mechanics · Physics 2009-07-01 Yasunori Sakaniwa , Hiroyuki Shima

We study the phase transitions of the two-dimensional antiferromagnetic Ising model with nearest $J_1$ and next-to-nearest $J_2$ interactions on the triangular lattice for $J_2/J_1 = 0.1, 0.5$ and 1.0. The method of supervised neural…

High Energy Physics - Lattice · Physics 2025-11-19 Shang-Wei Li , Yuan-Heng Tseng , Kai-Wei Huang , Fu-Jiun Jiang

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

Statistical Mechanics · Physics 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

We investigate the zero-temperature glassy transitions in the square-lattice +- J Ising model, with bond distribution $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$; p=1 and p=1/2 correspond to the pure Ising model and to the…

Disordered Systems and Neural Networks · Physics 2010-08-25 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

In this article we explore the critical end point in the $T-\mu$ phase diagram of a thermomagnetic nonlocal Nambu--Jona-Lasinio model in the weak field limit. We work with the Gaussian regulator, and find that a crossover takes place at…

High Energy Physics - Phenomenology · Physics 2017-09-15 F. Marquez , R. Zamora

Ferromagnetic transition in three-dimensional double-exchange models is studied by the Monte Carlo method. Critical temperature $T_{\rm c}$ is precisely determined by finite-size scaling analysis. Strong spin fluctuations in this itinerant…

Strongly Correlated Electrons · Physics 2009-10-31 Yukitoshi Motome , Nobuo Furukawa

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 ferromagnet-to-paramagnet transition of the four-dimensional random-field Ising model with Gaussian distribution of the random fields is studied. Exact ground states of systems with sizes up to 32^4 are obtained using graph theoretical…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann

The magnetic behaviour of a disordered ferrimagnetic system Ap B1-p where both A and B represent the magnetic atoms with respective spin SA = 1/2 and SB = 1 in presence of high magnetic field is treated theoretically.Assuming the magnetic…

Materials Science · Physics 2015-05-28 Sobhendu K. Ghatak

We investigate the low-temperature critical behavior of the three dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature $T \to 0$ the usual scaling relations have to be modified as far as…

Disordered Systems and Neural Networks · Physics 2015-06-25 U. Nowak , K. D. Usadel , J. Esser

An effective field theory is derived for the ferromagnetic transition of diffusive electrons at T=0. The static disorder which leads to diffusive electron dynamics induces an effective long-range interaction between the spins of the form…

Statistical Mechanics · Physics 2016-08-31 D. Belitz , T. R. Kirkpatrick

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

We present a strong coupling dynamical theory of the superconducting transition in a metal near a QCP towards $Q = 0$ nematic order. We use a fermion-boson model, in which we treat the ratio of effective boson-fermion coupling and the Fermi…

Superconductivity · Physics 2019-10-22 Avraham Klein , Andrey Chubukov
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