Török T, High precision Monte Carlo study of the 3D XY-universality class - Hasenbusch - 1999 () Citation Context ... high-temperature series expansions, it has been shown that there is a value λ ∗ > 0, where leading corrections to scaling vanish. Numerical estimates of λ ∗...
In a ferromagnetic material, the magnetization is a good order parameter, which evolves as M = M0(1–T/TC)β as the temperature rises, where β is the so-called critical exponent that defines the universality class ...
临界指数https://en.wikipedia.org/wiki/Universality_class: 三维XY模型: ν=0.67,β=0.34,γ=1.3ν=0.67,β=0.34,γ=1.3 2D XY模型有对应的临界指数比,应该和2D 的Ising 模型一样: β/ν=1/8,γ/ν=7/4β/ν=1/8,γ/ν=7/4 {: .img-class style="width: 50%;"} 数值计算 Finite Size Sc...
Almost all values are larger than that of the ordinary 3D-XY universality class ν≈ 0.67 [27,28], indicating that a 123 145 Page 6 of 8 Eur. Phys. J. B (2024) 97 :145 0.2 0.15 0.1 0.05 0 -0.05 -2 0 2 4 6 8 10 12 14 16 (K-Kc)L1/Q Fig. 6 The scaling plot, (K ...
During a single cycle of the rotating applied field we consider here, the symmetry of the system remains in the universality class of the random field Ising model, except for a set of measure zero (when H is parallel to the random fields). Therefore, as the applied field is rotated, ...
This analysis suggests that the 2D J(1) - J(2) XY model is in the same universality class as XY-Ising models. [References: 33] 机译:我们考虑方格上的2D J(1)-J(2)经典XY模型。在与J(2)> J(1)/ 2对应的受挫阶段中,伊辛阶参数通过“无序阶”效应出现。这导致离散的对称性加上O(2)...
Our results are compatible with the fact that models with different factors of anisotropy fall within the same universality class as the quantum Ising model in a transverse random field.doi:10.1103/PhysRevB.60.14771Juozapavicius, A.Urba, L....
The general picture of the transition is fully understood from the Harris criterion which predicts that the universality class is unchanged, and the Berezinskii-Kosterlitz-Thouless description of the topological transition remains valid. We nevertheless address here the question about the influence of ...
Average eigenstate entanglement entropy of the XY chain in a transverse field and its universality for translationally invariant quadratic fermionic models Lucas Hackl, Lev Vidmar, Marcos Rigol, and…
ordering in $x$-direction starts to compete with ordering in $y$-direction. At any $\beta\neq0$ the system with nearest-neighbor interactions undergoes the same second-order phase transition at $J=\pm h$ belonging to the 2D Ising universality class from the paramagnetic phase to the (anti...