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We study the temperature dependence of the low temperature spin configurations, investigating the magnetization profile of the local states due to the impurities and the two point correlation function centered in one of the impurities. This…

强关联电子 · 物理学 2009-10-31 Pascal Roos , Seiji Miyashita

We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also…

高能物理 - 格点 · 物理学 2009-10-22 J. Wosiek

The spin-1/2 Ising-Heisenberg tetrahedral chain is exactly solved using its local gauge symmetry, which enables one to establish a rigorous mapping with the corresponding chain of composite Ising spins tractable within the transfer-matrix…

统计力学 · 物理学 2013-04-09 Onofre Rojas , Jozef Strecka , Marcelo L. Lyra

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

The form factor bootstrap approach is used to compute the exact contributions in the large distance expansion of the correlation function $<\sigma(x) \sigma(0)>$ of the two-dimensional Ising model in a magnetic field at $T=T_c$. The matrix…

高能物理 - 理论 · 物理学 2009-10-28 G. Delfino , G. Mussardo

Using Monte Carlo techniques, Ising cubes with ferromagnetic nearest-neighbor interactions and enhanced couplings between surface spins are studied. In particular, at the surface transition, the corner magnetization shows non-universal,…

凝聚态物理 · 物理学 2009-10-31 M. Pleimling , W. Selke

We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of…

数学物理 · 物理学 2014-07-17 Dmitry Chelkak , Clément Hongler , Konstantin Izyurov

We present analytical results for the strongly anisotropic random field Ising model, consisting of weakly interacting spin chains. We combine the mean-field treatment of interchain interactions with an analytical calculation of the average…

统计力学 · 物理学 2009-10-31 Marc Thilo Figge , Maxim V. Mostovoy , Jasper Knoester

The Fermi polaron problem, which describes a mobile impurity that interacts with a spin-polarized Fermi sea, is a paradigmatic system in quantum many-body physics and has been challenging to address quantitatively in its strong coupling…

量子气体 · 物理学 2025-11-26 S. Ramachandran , S. Jensen , Y. Alhassid

By tempered Monte Carlo simulations, we study 2D site-diluted dipolar Ising systems. Dipoles are randomly placed on a fraction x of all L^2 sites in a square lattice, and point along a common crystalline axis. For x_c< x<=1, where x_c =…

无序系统与神经网络 · 物理学 2010-09-01 J. J. Alonso , B. Allés

Using numerical Real Space Renormalisation Group methods as well as Stochastic Series Expansions Quantum Monte Carlo simulations a generic model of diluted spin-1/2 impurities interacting at long distances is investigated. Such a model…

强关联电子 · 物理学 2009-11-10 Nicolas Laflorencie , Didier Poilblanc , Manfred Sigrist

In this paper we present a simple, yet typical simulation in statistical physics, consisting of large scale Monte Carlo simulations followed by an involved statistical analysis of the results. The purpose is to provide an example…

计算工程、金融与科学 · 计算机科学 2014-01-10 M. Dolfi , J. Gukelberger , A. Hehn , J. Imriška , K. Pakrouski , T. F. Rønnow , M. Troyer , I. Zintchenko , F. Chirigati , J. Freire , D. Shasha

A numerical method based on the transfer matrix method is developed to calculate the critical temperature of two-layer Ising ferromagnet with a weak inter-layer coupling. The reduced internal energy per site has been accurately calculated…

统计力学 · 物理学 2007-05-23 M. Ghaemi , B. Mirza , G. A. Parsafar

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte…

统计力学 · 物理学 2009-10-30 A. L. Ferreira , W. Korneta

We consider the critical spin-spin correlation function of the Ashkin-Teller and Baxter models. By using path-integral techniques in the continuum description of these models in terms of fermion fields, we show that the correlation decays…

统计力学 · 物理学 2009-10-21 Carlos Naón

We have studied a spin-1/2, ABA, Ising trilayer system with two different types of interactions, in-plane ferromagnetic and out-of-plane anti-ferromagnetic, among the lattice sites, on different layers. In the pure case, devoid of any…

统计力学 · 物理学 2020-05-07 Soham Chandra , Muktish Acharyya

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 describe how to evaluate approximately various physical interesting quantities in random Ising systems by direct renormalization of a finite system. The renormalization procedure is used to reduce the number of degrees of freedom to a…

统计力学 · 物理学 2018-09-19 Avishay Efrat , Moshe Schwartz

The quasi-one-dimensional Ising spin chain system $\alpha$-CoV$_2$O$_6$ is considered to exhibit fascinating magnetic properties at lower temperatures. We comprehensively study magnetic properties and lattice dynamics using a combination of…

Conformal invariance powerfully constrains the critical behavior of two-dimensional classical systems with short-range interactions and the critical theories in two-dimensions are parametrized by a dimensional number, termed central charge…

量子物理 · 物理学 2017-06-15 Bo-Bo Wei