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The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the universality class of the transverse Ising model (TIM). When a longitudinal field ($h$) is switched on, the phase transition is preserved, which…

Statistical Mechanics · Physics 2021-05-12 Péter Lajkó , Ferenc Iglói

Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and next-to-nearest neighbors are…

Statistical Mechanics · Physics 2009-11-11 S. E. Korshunov

In the canonical formalism of statistical physics, a signature of a first order phase transition for finite systems is the bimodal distribution of an order parameter. Previous thermodynamical studies of nuclear sources produced in heavy-ion…

In this work, we employed the Ising model to identify phase transitions in a magnetic system where the degree distribution of the network follows a power-law and the connections are assortatively mixed. In the Ising model, the spins assume…

Statistical Mechanics · Physics 2024-12-20 R. A. Dumer , M. Godoy

We study the surface phase diagram of the three-dimensional kinetic Ising model below the equilibrium critical point subjected to a periodically oscillating magnetic field. Changing the surface interaction strength as well as the period of…

Statistical Mechanics · Physics 2014-03-19 Keith Tauscher , Michel Pleimling

We revisit the phase diagram of the dimerized XXZ spin-$\frac{1}{2}$ chain with nearest-neighbor couplings which was studied numerically in Phys. Rev. B 106, L201106 (2022). The model has isotropic $XY$ couplings which have a uniform value…

Strongly Correlated Electrons · Physics 2025-05-20 Harsh Nigam , Ashirbad Padhan , Diptiman Sen , Tapan Mishra , Subhro Bhattacharjee

A spatially one dimensional coupled map lattice possessing the same symmetries as the Miller Huse model is introduced. Our model is studied analytically by means of a formal perturbation expansion which uses weak coupling and the vicinity…

Chaotic Dynamics · Physics 2015-06-26 F. Schmuser , W. Just , H. Kantz

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

Recently, Mendon\c{c}a et al. [arXiv:2503.04961] investigated the Dicke-XXZ model and the Dicke-Ising model. For the latter model, their calculated quantum phase diagram contradicts claims about the existence of an intermediate phase with…

Quantum Physics · Physics 2025-11-12 Max Hörmann , Anja Langheld , Jonas Leibig , Andreas Schellenberger , Kai Phillip Schmidt

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

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 dynamical behaviour of many-body systems is often richer than what can be anticipated from their static properties. Here we show that in closed quantum systems this becomes evident by considering time-integrated observables as order…

Statistical Mechanics · Physics 2013-06-14 James M. Hickey , Sam Genway , Igor Lesanovsky , Juan P. Garrahan

Using Monte Carlo simulations based on the Metropolis algorithm, we investigate the dynamic phase transition properties of kinetic Ising model driven by a sinusoidally oscillating magnetic field in the presence of additive white noise. We…

Statistical Mechanics · Physics 2018-07-10 Yusuf Yüksel

Considerations of the bad-metal behavior led to an early proposal for a quantum critical point under a P for As doping in the iron pnictides, which has since been experimentally observed. We study here an effective model for the…

Strongly Correlated Electrons · Physics 2016-04-04 Jianda Wu , Qimiao Si , Elihu Abrahams

We study the ground-state phase diagram of an unfrustrated antiferromagnetic Ising chain with longitudinal and transverse fields in the full range of interactions: from all-to-all to nearest-neighbors. First, we solve the model analytically…

In this paper, we study the driven-dissipative p-spin models for $p\geq 2$. In thermodynamics limit, the equation of motion is derived by using a semiclassical approach. The long-time asymptotic states are obtained analytically, which…

Quantum Gases · Physics 2021-01-13 Pei Wang , Rosario Fazio

Two numerical strategies based on the Wang-Landau and Lee entropic sampling schemes are implemented to investigate the first-order transition features of the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder regime. We…

Statistical Mechanics · Physics 2008-03-31 N. G. Fytas , A. Malakis , K. Eftaxias

We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $\gamma$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for…

Statistical Mechanics · Physics 2007-05-23 Sang Hoon Lee , Hawoong Jeong , Jae Dong Noh

Activated transitions have rates that are often exponentially small in system size. Extracting the associated activation barriers is challenging in practice, especially in the deeply metastable regimes and in the presence of disorder. Here,…

Disordered Systems and Neural Networks · Physics 2026-04-21 Riccardo Cipolloni , Federico Ricci-Tersenghi , Francesco Zamponi

We investigate the steady state phase diagram of two-component driven open condensates in one dimension. We identify a miscible-immiscible transition which is predominantly driven by gapped density fluctuations and occurs upon increasing…

Statistical Mechanics · Physics 2017-12-06 Liang He , Sebastian Diehl