Ising and dimer models in two and three dimensions
نویسندگان
چکیده
منابع مشابه
Fiber deposition models in two and three spatial dimensions
We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We...
متن کاملCritical and multicritical behavior of the ±J Ising model in two and three dimensions
We report our Monte Carlo results on the critical and multicritical behavior of the ±J Ising model [with a random-exchange probability P (Jxy) = pδ(Jxy−J)+(1−p)δ(Jxy +J)], in two and three dimensions. We study the transition line between the paramagnetic and ferromagnetic phase, which extends from p = 1 to a multicritical (Nishimori) point. By a finitesize scaling analysis, we provide strong nu...
متن کاملLattice statistics in three dimensions: Solution of layered dimer and layered domain wall models
Analyses are given for two three-dimensional lattice systems: A system of close-packed dimers placed in layers of honeycomb lattices and a layered triangular-lattice interacting domain wall model, both with nontrivial interlayer interactions. We show that both models are equivalent to a five-vertex model on the square lattice with interlayer vertex-vertex interactions. Using the method of Bethe...
متن کاملSuperconformal Invariance in Two Dimensions and the Tricritical Ising Model
We discuss the realization of superconformal invariance in two dimensional quantum field theory. The Hilbert space of a superconformal theory splits into two sectors; one a representation of the Neveu-Schwarz algebra, the other of the Ramond algebra. We introduce the spin fields which intertwine the two sectors and correspond to the irreducible representations of the Ramond algebra. We give the...
متن کاملThe quenched-disordered Ising model in two and four dimensions
We briefly review the Ising model with uncorrelated, quenched random-site or randombond disorder, which has been controversial in both two and four dimensions. In these dimensions, the leading exponent α , which characterizes the specific-heat critical behaviour, vanishes and no Harris prediction for the consequences of quenched disorder can be made. In the two-dimensional case, the controversy...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2003
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.68.054405