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Starting from an exact formal identity for the two-state transverse Ising model and using correlation inequalities rigorous upper bounds for the critical temperature and the critical transverse field are obtained which improve effective…

Statistical Mechanics · Physics 2012-05-22 F. S. Sá Barreto , A. L. Mota

We show that spin systems with infinite-range interactions can violate at thermal equilibrium a multipartite Bell inequality, up to a finite critical temperature $T_c$. Our framework can be applied to a wide class of spin systems and Bell…

Quantum Physics · Physics 2018-11-21 Matteo Fadel , Jordi Tura

The problem of competing orderings in the high-temperature cuprate materials is widely discussed for the last years. We present the mean-field approximation results for the spin-pseudospin model accounting for the on-site and inter-site…

Strongly Correlated Electrons · Physics 2021-09-24 Yu. D. Panov

A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard…

High Energy Physics - Lattice · Physics 2009-10-22 Z. Burda , J. Wosiek

High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found to be numerically very close to that of a pure system. This…

Condensed Matter · Physics 2007-05-23 Andrei Talapov , Vladimir Dotsenko

High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found to be numerically very close to that of a pure system. This…

High Energy Physics - Lattice · Physics 2009-10-22 Andrei L. Talapov , Lev N. Shchur

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

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

We estimate the critical temperature of a family of quantum spin systems on regular trees of large degree. The systems include the spin-$\frac12$ XXZ model and the spin-1 nematic model. Our formula is conjectured to be valid for…

Mathematical Physics · Physics 2018-11-27 Jakob E. Björnberg , Daniel Ueltschi

In this study, dependence on site dilution of critical and compensation temperatures of a two dimensional mixed spin-1/2 and spin-1 system has been investigated with Monte Carlo simulation. The dependence of the thermal and magnetic…

Statistical Mechanics · Physics 2009-09-10 E. Aydiner , Y. Yuksel , E. Kis-Cam , H. Polat

We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2 and 3 site cases for arbitrary temperature T and zero…

Statistical Mechanics · Physics 2015-06-15 Andreas Klümper , Dominic Nawrath , Junji Suzuki

We provide a method for constructing finite temperature states of one-dimensional spin chains displaying quantum criticality. These models are constructed using correlators of products of quantum fields and have an analytical purification.…

Strongly Correlated Electrons · Physics 2014-07-24 Ivan Glasser , J. Ignacio Cirac , Germán Sierra , Anne E. B. Nielsen

A method is suggested for calculating the critical temperature in multicomponent field theory with weak interactions. The method is based on self-similar approximation theory allowing for the extrapolation of series in powers of…

Statistical Mechanics · Physics 2017-04-26 V. I. Yukalov , E. P. Yukalova

When particles interact via two-body short-range central potential wells, binding can occur for some critical values of the coupling constants. Using the envelope theory, upper bounds for critical coupling constants are computed for quantum…

Quantum Physics · Physics 2025-06-13 Clara Tourbez , Claude Semay , Cyrille Chevalier

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…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

We prove a correlation type inequality for spin systems with quenched symmetric random interactions. This gives monotonicity of the pressure with respect to the strength of the interaction for a class of spin glass models. Consequences…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pierluigi Contucci , Joel Lebowitz

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

In a reaction to excite the resonant state followed by the sequential cluster-decay, the in-plane angular correlation method is usually applied to determine the spin of the mother nucleus. However, the correlation pattern exhibited in a…

Data Analysis, Statistics and Probability · Physics 2019-09-04 Biao Yang , Yan-Lin Ye , Jian-Ling Lou , Xiao-Fei Yang , Jing-Jing Li , Yang Liu , Wei Liu , HanZhou Yu

After having developed a method that measures real time evolution of quantum systems at a finite temperature, we present here the simplest field theory where this scheme can be applied to, namely the 1+1 Ising model. We will compute the…

High Energy Physics - Theory · Physics 2016-09-06 E. Mendel

Quantum-classical transitions have long attracted much attention. We study such transitions in quantum spin-($j$,1/2) systems at thermal equilibrium. Unlike the previous work [Phys. Rev. A 73, 064302 (2006)], it is found that the threshold…

Quantum Physics · Physics 2025-10-15 M. A. Yurischev , E. I. Kuznetsova , Saeed Haddadi

We present a new procedure able to identify and measure the critical temperature. This method is based on the divergence of the relaxation time approaching the critical point in quenches from infinite temperature. We introduce a…

Statistical Mechanics · Physics 2015-05-18 Eugenio Lippiello , Alessandro Sarracino
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