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In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

The spin-3/2 Blume-Capel model on a rectangular lattice with the ferromagnetic bilinear short-range interaction $K^{\rm F}=K(1+x)$ in one direction and the anti-ferromagnetic one $K^{\rm AF}=K(-1+x)$ in the perpendicular direction under a…

Statistical Mechanics · Physics 2019-05-15 O. Baran , R. Levitskii

A characteristic of spin reversal in the presence of phonon-bottleneck is the deviation of the magnetization cycle from a reversible function into an opened hysterezis cycle. In recent experiments on molecular magnets (e.g. V$_{15}$ and…

Mesoscale and Nanoscale Physics · Physics 2009-09-28 L. Chen , I. Chiorescu

Site diluted spin-1/2 Ising and spin-1 Blume Capel (BC) models in the presence of transverse field interactions are examined by introducing an effective-field approximation that takes into account the multi-site correlations in the cluster…

Statistical Mechanics · Physics 2011-11-15 Ümit Akıncı , Yusuf Yüksel , Hamza Polat

We study a $p$-spin model with ferromagnetic coupling and quenched random-crystal fields for $p \ge 3$ for spin-1 systems. We find that the model has lines of first order transitions at finite temperature $(T)$ for all $p \ge 3$. For…

Statistical Mechanics · Physics 2022-10-13 Santanu Das , Sumedha

Dynamic phase transition phenomena in ultrathin films described by Blume-Capel model have been investigated using Monte Carlo simulations. Hysteresis loops, micromagnetic structures, and hysteresis loop area curves, as well as dynamic…

Statistical Mechanics · Physics 2015-06-16 Yusuf Yuksel

Magnetic Bloch points (BPs) are highly confined magnetization configurations, that often occur in transient spin dynamics processes. However, opposing chiralities of adjacent layers for instance in a FeGe bilayer stack can stabilize such…

Materials Science · Physics 2025-01-30 Thomas Brian Winkler , Marijan Beg , Martin Lang , Mathias Kläui , Hans Fangohr

On locally tree-like random graphs, we relate the random cluster model with external magnetic fields and $q\geq 2$ to Ising models with vertex-dependent external fields. The fact that one can formulate general random cluster models in terms…

Probability · Mathematics 2025-03-25 Van Hao Can , Remco van der Hofstad

We investigate hysteresis loops and return point memory for artificial square and kagome spin ice systems by cycling an applied bias force and comparing microscopic effective spin configurations throughout the hysteresis cycle. Return point…

Statistical Mechanics · Physics 2015-05-30 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

The effect of the anisotropy in the exchange interaction on the hysteresis loops within the anisotropic quantum Heisenberg model has been investigated with the effective field theory for two spin cluster. Particular attention has been…

Statistical Mechanics · Physics 2015-06-12 Ümit Akıncı

We report a novel singularity in the hysteresis of spin glasses, the reversal-field memory effect, which creates a non-analyticity in the magnetization curves at a particular point related to the history of the sample. The origin of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. G. Katzgraber , F. Pazmandi , C. R. Pike , Kai Liu , R. T. Scalettar , K. L. Verosub , G. T. Zimanyi

Non-equilibrium systems display memory, a dependence not merely on their present environment but on previously applied fields. Multistable systems such as spin glasses, martensites and granular matter have exponentially many microstates…

Statistical Mechanics · Physics 2026-05-25 Nathaniel Croce , Hossein Salahshoor , D. Zeb Rocklin

We study hysteresis in the random-field Ising model with an asymmetric distribution of quenched fields, in the limit of low disorder in two and three dimensions. We relate the spin flip process to bootstrap percolation, and show that the…

Statistical Mechanics · Physics 2008-04-10 Sanjib Sabhapandit , Deepak Dhar , Prabodh Shukla

We investigate the effect of disorder on the Curie-Weiss model with Glauber dynamics. In particular, we study metastability for spin-flip dynamics on the Erd\H{o}s-R\'enyi random graph $ER_n(p)$ with $n$ vertices and with edge retention…

Probability · Mathematics 2020-07-24 Frank den Hollander , Oliver Jovanovski

This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers…

Dynamical Systems · Mathematics 2025-10-20 J. Samuel Jiang , Hans G. Kaper , Gary K. Leaf

We study the magnetic phase diagram and hysteresis behavior of weakly coupled spin dimers on a triangular lattice using the cluster mean-field method with cluster-size scaling. We find that the magnetization curve has plateaus at 1/3 and…

Strongly Correlated Electrons · Physics 2013-07-30 Daisuke Yamamoto , Ippei Danshita

The zero-temperature random-field Ising model is solved analytically for magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established.…

Statistical Mechanics · Physics 2013-08-21 Thomas P Handford , Francisco J Pérez-Reche , Sergei N Taraskin

Motivated by recent experimental results reporting giant coercive fields in Co(II)-based molecular magnets we present a theory of hysteresis phenomena based on the Glauber stochastic dynamics. Unusual form of hysteresis loops is similar to…

Statistical Mechanics · Physics 2015-05-13 A. A. Bukharov , A. S. Ovchinnikov , N. V. Baranov , K. Inoue

We present experimental results attempting to fingerprint nonanalyticities in the magnetization curves of spin glasses found by Katzgraber et al. [Phys. Rev. Lett. 89, 257202 (2002)] via zero-temperature Monte Carlo simulations of the…

Disordered Systems and Neural Networks · Physics 2007-09-30 Helmut G. Katzgraber , D. Herisson , M. Oesth , Per Nordblad , Atsuko Ito , Hiroko Aruga Katori

We continue our study of the thermodynamic geometry of the spin one model from paper I by probing the state space geometry of the Blume Emery Griffiths (BEG) model, and its limiting case of the Blume Capel model, in their mean field…

Statistical Mechanics · Physics 2021-07-09 Anurag Sahay , Riekshika Sanwari