Numerical linked-cluster algorithms. II.t−Jmodels on the square lattice
نویسندگان
چکیده
منابع مشابه
Numerical Study of the Higgs Mode in the Heisenberg Antiferromagnet on the Square Lattice
The Higgs mode is expected to exist in any system with the spontaneous symmetry breaking of the continuous symmetry. We make numerical study about the Higgs mode in the Heisenberg antiferromagnet on the square lattice by the exact diagonalisation approach. Since the Higgs mode can couple with a pair of the Nambu-Goldstone modes, we calculate the dynamical correlation of the two spin operators, ...
متن کاملRapid mixing for the non-critical random-cluster model on the square lattice
We consider the random-cluster model with parameters p ∈ (0, 1) and q ∈ N on finite boxes in the two-dimensional square lattice for non-critical values of p, that is p 6= pc = √ q/(1 + √ q). We prove that the spectral gap of the continuous-time heat-bath dynamics for this model with free or wired boundary conditions is bounded from below by a constant. The proof uses the standard technique of b...
متن کاملPolygonal polyominoes on the square lattice
We study a proper subset of polyominoes, called polygonal polyominoes, which are defined to be self-avoiding polygons containing any number of holes, each of which is a self-avoiding polygon. The staircase polygon subset, with staircase holes, is also discussed. The internal holes have no common vertices with each other, nor any common vertices with the surrounding polygon. There are no ‘holes-...
متن کاملSelf-avoiding polygons on the square lattice
We have developed an improved algorithm that allows us to enumerate the number of self-avoiding polygons on the square lattice to perimeter length 90. Analysis of the resulting series yields very accurate estimates of the connective constant μ = 2.638 158 529 27(1) (biased) and the critical exponent α = 0.500 0005(10) (unbiased). The critical point is indistinguishable from a root of the polyno...
متن کاملAntiferromagnetic Potts models on the square lattice.
We study the antiferromagnetic q-state Potts model on the square lattice for q = 3 and q = 4, using the Wang-Swendsen-Koteck y Monte Carlo algorithm and a new nite-size-scaling extrapolation method. For q = 3 we obtain good control up to correlation length 5000; the data are consistent with () = Ae 2 (1 + a 1 e +. . .) as ! 1. For q = 4 the model is disordered even at zero temperature.
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 E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.75.061119