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We study the block spin transformation for the 2D Ising model at the critical temperature $T_c$. We consider the model with the constraint that the total spin in each block is zero. An old argument by Cassandro and Gallavotti allows to show…

凝聚态物理 · 物理学 2009-10-22 G. Benfatto , E. Marinari , E. Olivieri

The bulk and boundary magnetizations are calculated for the critical Ising model on a randomly triangulated disk in the presence of a boundary magnetic field h. In the continuum limit this model corresponds to a c = 1/2 conformal field…

高能物理 - 理论 · 物理学 2008-11-26 Sean M. Carroll , Miguel E. Ortiz , Washington Taylor

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

We perform the high-performance computation of the ferromagnetic Ising model on the pyrochlore lattice. We determine the critical temperature accurately based on the finite-size scaling of the Binder ratio. Comparing with the data on the…

计算物理 · 物理学 2017-02-03 Konstantin Soldatov , Konstantin Nefedev , Yukihiro Komura , Yutaka Okabe

Monte Carlo simulations are methods for simulating statistical systems. The aim is to generate a representative ensemble of configurations to access thermodynamical quantities without the need to solve the system analytically or to perform…

统计力学 · 物理学 2015-06-19 Jean-Charles Walter , Gerard Barkema

The energy-energy correlation function of the two-dimensional Ising model with weakly fluctuating random bonds is evaluated in the large scale limit. Two correlation lengths exist in contrast to one correlation length in the pure 2D Ising…

凝聚态物理 · 物理学 2007-05-23 K. Ziegler

We consider the competition of magnetic and charge ordering in high-Tc cuprates within the framework of the simplified static 2D spin-pseudospin model. This model is equivalent to the 2D dilute antiferromagnetic (AFM) Ising model with…

统计力学 · 物理学 2019-02-04 Yu. D. Panov , V. A. Ulitko , K. S. Budrin , A. A. Chikov , A. S. Moskvin

We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends…

无序系统与神经网络 · 物理学 2014-12-17 Elena Boniolo , Sergio Caracciolo , Andrea Sportiello

We study the low-temperature thermodynamics of a spin-S magnetic impurity coupled to m degenerate bands of interacting electrons in one dimension. By exploiting boundary conformal field theory techniques, we derive exact results for the…

强关联电子 · 物理学 2009-10-30 M. Granath , H. Johannesson

We study the correlation length of the two-dimensional Ising spin glass with a Gaussian distribution of interactions, using an efficient Monte Carlo algorithm proposed by Houdayer, that allows larger sizes and lower temperatures to be…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , L. W. Lee , A. P. Young

Analytical expressions for the entanglement measures concurrence, i-concurrence and 3-tangle in terms of spin correlation functions are derived using general symmetries of the quantum spin system. These relations are exploited for the…

量子物理 · 物理学 2009-11-10 Ulrich Glaser , Helmut Büttner , Holger Fehske

We investigate the Kondo effect in two-dimensional disordered electron systems using a finite-temperature quantum Monte Carlo method. Depending on the position of a magnetic impurity, the local moment is screened or unscreened by the spin…

强关联电子 · 物理学 2009-11-07 Takuma Ohashi , Sei-ichiro Suga

In this paper we discuss the relation of particle number cumulants and correlation functions. It is argued that measuring couplings of the genuine multi-particle correlation functions could provide cleaner information on possible…

核理论 · 物理学 2017-05-17 Adam Bzdak , Volker Koch , Nils Strodthoff

We present the renormalization group analysis for the problem of a spin-S impurity in nearly ferromagnetic Fermi liquid. We evaluate the renormalization group function that governs the temperature behavior of the invariant charge to the…

强关联电子 · 物理学 2007-05-23 I. S. Burmistrov

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

统计力学 · 物理学 2008-02-03 T. Nattermann

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

统计力学 · 物理学 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We show that the two-impurity Anderson model exhibits an additional quantum critical point at infinitely many specific distances between both impurities for an inversion symmetric one-dimensional dispersion. Unlike the quantum critical…

强关联电子 · 物理学 2018-08-24 Benedikt Lechtenberg , Fabian Eickhoff , Frithjof B. Anders

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…

强关联电子 · 物理学 2021-09-24 Yu. D. Panov

Critical phenomena of ferromagnetic transition at finite temperatures are studied in double-exchange systems. In order to investigate strong interplay between charge and spin degrees of freedom, Monte Carlo technique is applied to include…

强关联电子 · 物理学 2009-11-07 Yukitoshi Motome , Nobuo Furukawa

We discuss the critical behaviour of 2D Ising and q-states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal…

统计力学 · 物理学 2009-10-30 P. Simon