Stacked triangular lattice: Percolation properties
نویسندگان
چکیده
منابع مشابه
Stacked triangular lattice: Percolation properties
The stacked triangular lattice has the shape of a triangular prism. In spite of being considered frequently in solidstate physics and materials science, its percolation properties have received little attention. We investigate several nonuniversal percolation properties on this lattice using Monte Carlo simulation. We show that the percolation threshold is pbond c = 0.18602 ± 0.00002 for bonds ...
متن کاملDirected Percolation on a 2D Triangular Lattice
We study directed percolation on a 2D triangular lattice where the forward direction is perpendicular to one of the lattice axes. In addition to the geometrical description, an equivalent dynamic description of the model is presented. Simulations are performed based on an algorithm from the dynamic description to obtain the critical probability of bond occupation as pc ≈ 0.522. A mean field the...
متن کاملMonte Carlo study of next - nearest - neighbor Ising antiferromagnet on a stacked triangular lattice
Critical properties of the Ising model on a stacked triangular lattice, with antiferromagnetic first and second-neighbor in-plane interactions, are studied by extensive histogram Monte Carlo simulations. The results, in conjunction with the recently determined phase diagram, strongly suggest that the transition from the period-3 ordered state to the paramagnetic phase remains in the xy universa...
متن کاملCritical behavior of the antiferromagnetic Heisenberg model on a stacked triangular lattice
We estimate, using a large-scale Monte Carlo simulation, the critical exponents of the antiferromagnetic Heisenberg model on a stacked triangular lattice. We obtain the following estimates: γ/ν = 2.011± .014, ν = .585± .009. These results contradict a perturbative 2 + ǫ Renormalization Group calculation that points to Wilson-Fisher O(4) behaviour. While these results may be coherent with 4−ǫ re...
متن کاملMagnetic-field-induced first-order transition in the frustrated XY model on a stacked triangular lattice.
The results of extensive Monte Carlo simulations of magnetic-field induced transitions in the xy model on a stacked triangular lattice with antiferromag-netic intraplane and ferromagnetic interplane interactions are discussed. A low-field transition from the paramagnetic to a 3-state (Potts) phase is found to be very weakly first order with behavior suggesting tricriticality at zero field. In a...
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: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.87.032123