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We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities…

Statistical Mechanics · Physics 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

We analyze the problem of how different ground states associated to the same set of the Hamiltonian parameters evolve after a sudden quench. To realize our analysis we define a quantitative approach to the local distinguishability between…

Quantum Physics · Physics 2017-01-25 Salvatore Marco Giampaolo , Giuseppe Zonzo

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

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

We study low-temperature magnetization processes in a stacked triangular Ising antiferromagnet by Monte Carlo simulations. In increasing and decreasing magnetic fields we observe multiple steps and hysteresis corresponding to formation of…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , L. Mižišin , A. Bobák

Response of pure Ising systems to time-dependent external magnetic fields, like pulsed and oscillating fields, are discussed and compared here. Because of the two time scales involved, namely the thermodynamic relaxation time of the system…

Statistical Mechanics · Physics 2009-11-07 Bikas K. Chakrabarti , Arkajyoti Misra

We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic interactions and long range, power law decaying, antiferromagnetic interactions. If the strength of the ferromagnetic coupling J is larger than a…

Statistical Mechanics · Physics 2014-02-21 Alessandro Giuliani , Elliott H. Lieb , Robert Seiringer

In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the…

Statistical Mechanics · Physics 2009-11-11 Yong Wu , Jonathan Machta

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

Statistical Mechanics · Physics 2015-05-20 Andre M. C. Souza

Entanglement properties of excited eigenstates (or of thermal mixed states) are difficult to study with conventional analytical methods. We approach this problem for random spin chains using a recently developed real-space renormalization…

Disordered Systems and Neural Networks · Physics 2020-09-04 Yichen Huang , Joel E. Moore

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

We present a ground-state cooling scheme for the mechanical degrees of freedom of mesoscopic magnetic particles levitated in low-frequency traps. Our method makes use of a binary sensor and suitably shaped pulses to perform weak, adaptive…

Quantum Physics · Physics 2021-05-19 Kirill Streltsov , Julen S. Pedernales , Martin B. Plenio

In low-dimensional magnets, thermal agitation and spatial disorders generate strong spin fluctuations that suppress the long-range magnetic ordering. We develop an analytical equation for the equilibrium magnetization of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Essa M. Ibrahim , Ping Tang , Shufeng Zhang

The XXZ quantum spin chain has a triple point in its ground state $h$-$1/\Delta$ phase diagram. This first order critical point is located at the joint end point of the two second order phase transition lines marking the transition from the…

Statistical Mechanics · Physics 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

Expressions for the density of states $D(E)$, where $D(E)$ is the number of states of energy $E$, are well known. The present paper offers the expressions for generalized density of states $D_N(E,m)$, where $D_N(E,m)$ is the number of…

Disordered Systems and Neural Networks · Physics 2025-12-16 Boris Kryzhanovsky , Vladislav Egorov

We consider in parallel three one-dimensional spin models with kinetic constraints: the paramagnetic constrained Ising chain, the ferromagnetic Ising chain with constrained Glauber dynamics, and the same chain with constrained Kawasaki…

Statistical Mechanics · Physics 2009-11-07 G. De Smedt , C. Godreche , J. M. Luck

Transfer-matrix methods are used to calculate spin-spin correlation functions ($G$), Helmholtz free energies ($f$) and magnetizations ($m$) in the two-dimensional random-field Ising model close to the zero-field bulk critical temperature…

Statistical Mechanics · Physics 2009-11-07 S. L. A. de Queiroz , R. B. Stinchcombe

A coupled spin-electron chain composed of localized Ising spins and mobile electrons is exactly solved in an external magnetic field within the transfer-matrix method. The ground-state phase diagram involves in total seven different ground…

Statistical Mechanics · Physics 2016-12-16 Jozef Strecka , Jana Cisarova

We consider the dependence magnetization vs. field at zero temperature for the spin-1/2 chains in which the intersite interactions regularly vary from site to site with a period p. In the limiting case when the smallest value of the…

Condensed Matter · Physics 2007-05-23 Oleg Derzhko

We investigate the entanglement properties of a finite size 1+1 dimensional Ising spin chain, and show how these properties scale and can be utilized to reconstruct the ground state wave function. Even at the critical point, few terms in a…

Quantum Physics · Physics 2007-05-23 Stein Olav Skrøvseth
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