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We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the…

统计力学 · 物理学 2007-05-23 Anjan Kumar Chandra , Subinay Dasgupta

The method for calculation of the correlation functions of the Ising-type systems with short-range interaction and with arbitrary value of spin is developed within cluster approximation. For the Ising model (spin $S^z=\pm1$) the expressions…

凝聚态物理 · 物理学 2007-05-23 R. R. Levitskii , S. I. Sorokov

We consider the one-dimensional random field Ising model, where the spin-spin coupling, $J$, is ferromagnetic and the external field is chosen to be $+h$ with probability $p$ and $-h$ with probability $1-p$. At zero temperature, we…

高能物理 - 理论 · 物理学 2009-10-22 Edward Farhi , Sam Gutmann

Correlation inequalities have played an essential role in the analysis of ferromagnetic models but have not been established in spin glass models. In this study, we obtain some correlation inequalities for the Ising models with quenched…

无序系统与神经网络 · 物理学 2020-04-14 Manaka Okuyama , Masayuki Ohzeki

We consider the procedure for calculating the pair correlation function in the context of the Cluster Variation Methods. As specific cases, we study the pair correlation function in the paramagnetic phase of the Ising model with nearest…

统计力学 · 物理学 2015-06-25 E. N. M. Cirillo , G. Gonnella , M. Troccoli , A. Maritan

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

高能物理 - 理论 · 物理学 2007-05-23 A. I. Bugrij

Spin relaxation in a site-disordered Ising model within master equation approach is studied. The $\vec{q},\omega$-dependent susceptibility of the model is calculated and investigated. Effects described by the two-site cluster approximation…

凝聚态物理 · 物理学 2007-05-23 R. R. Levitskii , S. I. Sorokov , R. O. Sokolovskii

Of the Ising spin chain with the nearest neighbor or up to the second nearest neighbor interactions, we fixed progressively either a single spin or a pair of neighboring spins at the value they took. Before the subsequent fixation, the…

统计力学 · 物理学 2018-08-01 Michael Etienne , Ken Sekimoto

We consider the Ising model between 2 and 4 dimensions perturbed by quenched disorder in the strength of the interaction between nearby spins. In the interval 2<d<4 this disorder is a relevant perturbation that drives the system to a new…

高能物理 - 理论 · 物理学 2019-10-08 Zohar Komargodski , David Simmons-Duffin

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

统计力学 · 物理学 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

The model of p Ising spins coupled to 2d gravity, in the form of a sum over planar phi-cubed graphs, is studied and in particular the two-point and spin-spin correlation functions are considered. We first solve a toy model in which only a…

高能物理 - 理论 · 物理学 2009-10-30 M. G. Harris , J. Ambjorn

We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a function of the geodesic distance we provide substantial…

高能物理 - 格点 · 物理学 2009-10-28 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea , G. Thorleifsson

The features of the response of frustrated states to the external field are considered on the example of a diluted Ising chain. In the ferromagnetic case, partial ordering occurs, which leads to a decrease in entropy. In the…

统计力学 · 物理学 2024-11-12 Yury Panov

We study pair correlations in cooperative systems placed on complex networks. We show that usually in these systems, the correlations between two interacting objects (e.g., spins), separated by a distance $\ell$, decay, on average, faster…

统计力学 · 物理学 2009-11-11 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

We consider long strips of finite width $L \leq 13$ sites of ferromagnetic Ising spins with random couplings distributed according to the binary distribution: $P(J_{ij})= {1 \over 2} ( \delta (J_{ij} -J_0) + \delta (J_{ij} -rJ_0) ) ,\ 0 < r…

凝聚态物理 · 物理学 2009-10-28 S. L. A. de Queiroz , R. B. Stinchcombe

We investigate bipartite entanglement in random quantum $XY$ models at equilibrium. Depending on the intrinsic time scales associated with equilibration of the random parameters and measurements associated with observation of the system, we…

量子物理 · 物理学 2020-01-03 Anindita Bera , Debasis Sadhukhan , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-correlations between the quenched-averages of moments of the…

统计力学 · 物理学 2009-10-31 Tom Davis , John Cardy

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

量子物理 · 物理学 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

An improved unified formulation based on the effective field theory is introduced for a spin-1/2 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

统计力学 · 物理学 2016-08-14 Ümit Akıncı

In the present paper an approach for investigation of the disordered two-component Ising systems with long range interaction has been suggested. Possible applications to metalic and magnetic alloys and lattice gas are considered. We have…

统计力学 · 物理学 2008-02-03 S. I. Sorokov , R. R. Levitskii , T. M. Verkholyak
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