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相关论文: Universality and multifractal behaviour of spin-sp…

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We consider the critical behavior of two-dimensional Potts models in presence of a bond disorder in which the correlation decays as a power law. In some recent work the thermal sector of this theory was investigated by a renormalization…

无序系统与神经网络 · 物理学 2024-07-19 Ivan Lecce , Marco Picco , Raoul Santachiara

We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group…

高能物理 - 理论 · 物理学 2009-10-28 Vladimir Dotsenko , Marco Picco , Pierre Pujol

Using CFT techniques, we compute the disorder-averaged p-th power of the spin-spin correlation function for the ferromagnetic random bonds Potts model. We thus generalize the calculation of Dotsenko, Dotsenko and Picco, where the case p=2…

无序系统与神经网络 · 物理学 2009-10-30 Marc-Andre Lewis

Under the assumption that the product of two spin operators decomposes uniquely into the degenerate conformal fields $\{\Phi_{n',n}\}$, the general expression for the correlation function of four spins is defined for the $q$ states Potts…

高能物理 - 理论 · 物理学 2020-03-18 Vladimir S. Dotsenko

We use Monte Carlo simulations to measure the spin-spin correlation function in the disordered phase of two-dimensional $q$-state Potts models with $q=10,15$, and $20$ at the first-order transition point $\beta_t$. To extract the…

高能物理 - 格点 · 物理学 2009-10-22 Wolfhard Janke , Stefan Kappler

We study the bi-dimensional $q$-Potts model with long-range bond correlated disorder. Similarly to [C. Chatelain, Phys. Rev. E 89, 032105], we implement a disorder bimodal distribution by coupling the Potts model to auxiliary…

统计力学 · 物理学 2023-04-19 Francesco Chippari , Marco Picco , Raoul Santachiara

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 find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation approach of the perturbation series…

高能物理 - 理论 · 物理学 2016-09-06 Vladimir Dotsenko , Marco Picco , Pierre Pujol

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach of the perturbation series around…

凝聚态物理 · 物理学 2007-05-23 Vladimir Dotsenko , Marco Picco , Pierre Pujol

We study the probability distribution function of the long-time values of observables being time-evolved by Hamiltonians modeling clean and disordered one-dimensional chains of many spin-1/2 particles. In particular, we analyze the return…

无序系统与神经网络 · 物理学 2023-10-10 I. Vallejo-Fabila , E. Jonathan Torres-Herrera

Averaged spin-spin correlation function squared $\overline{<\sigma(0)\sigma(R)>^{2}}$ is calculated for the ferromagnetic random bond Potts model. The technique being used is the renormalization group plus conformal field theory. The…

高能物理 - 理论 · 物理学 2009-10-30 Viktor Dotsenko , Vladimir Dotsenko , Marco Picco

In this paper, correlation inequalities which have been considered on Ising model are extended to q-Potts model. It is considered on generalized Potts model with interaction of any number of spins. We replace the set of spin values…

数学物理 · 物理学 2007-07-27 Nasir Ganikhodjaev , Fatimah Abdul Razak

We report a numerical study of the bond-diluted 2-dimensional Potts model using transfer matrix calculations. For different numbers of states per spin, we show that the critical exponents at the random fixed point are the same as in…

无序系统与神经网络 · 物理学 2009-11-07 Christophe Chatelain , Bertrand Berche , Lev N. Shchur

We address the issue of universality in two-dimensional disordered Ising systems, by considering long, finite-width strips of ferromagnetic Ising spins with randomly distributed couplings. We calculate the free energy and spin-spin…

凝聚态物理 · 物理学 2009-10-28 F. D. A. Aarão Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

We numerically calculate the exponent for the disorder averaged and fixed-sample decay of the energy-energy correlator in the q-state random-bond Potts model. Our results are in good agreement with a two-loop expansion (cond-mat/9910181)…

无序系统与神经网络 · 物理学 2009-10-31 Jesper Lykke Jacobsen

We study structural properties of the q-color Potts field theory which, for real values of q, describes the scaling limit of the random cluster model. We show that the number of independent n-point Potts spin correlators coincides with that…

高能物理 - 理论 · 物理学 2015-03-19 Gesualdo Delfino , Jacopo Viti

In this short note, we present supporting evidence for the replica symmetric approach to the random bond q-state Potts models. The evidence is statistically strong enough to reject the applicability of the Parisi replica symmetry breaking…

统计力学 · 物理学 2009-10-31 Marc-Andre Lewis

Universality is a fundamental concept in modern physics. For the $q$-state Potts model, the critical exponents are merely determined by the order-parameter symmetry $S_q$, spatial dimensionality and interaction range, independent of…

统计力学 · 物理学 2025-07-08 Zirui Peng , Sheng Fang , Hao Hu , Youjin Deng

An extension of the Ising spin configurations to continuous functions is used for an exact representation of the Random Field Ising Model's order parameter in terms of disagreement percolation. This facilitates an extension of the recent…

数学物理 · 物理学 2022-01-25 Michael Aizenman , Matan Harel , Ron Peled

We numerically investigate classical and quantum correlations in one-dimensional quantum critical systems. The infinite matrix product state (iMPS) representation is employed in order to consider an infinite-size spin chain. By using the…

强关联电子 · 物理学 2018-05-10 Yan-Wei Dai , Xi-Hao Chen , Sam Young Cho , Huan-Qiang Zhou , Dao-Xin Yao
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