Spin Correlations on a Site Diluted Square Lattice Heisenberg Antiferromagnet Covering the Percolation Threshold

2002 ◽  
Vol 376 (1) ◽  
pp. 315-320
Author(s):  
Kazuyoshi Takeda ◽  
Osamu Fujita ◽  
Masaki Mito ◽  
Tatsuya Kawae ◽  
Masako Hitaka ◽  
...  
Keyword(s):  
Percolation Threshold ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Spin Correlations ◽  
A Site

Exact site-percolation probability on the square lattice

2021 ◽  
Author(s):  
Stephan Mertens
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Percolation Threshold ◽  
Percolation Cluster ◽  
Square Lattice ◽  
Site Percolation ◽  
Exact Probability ◽  
Percolation Probability ◽  
A Site ◽  
Time And Space Complexity

Abstract We present an algorithm to compute the exact probability $R_{n}(p)$ for a site percolation cluster to span an $n\times n$ square lattice at occupancy $p$. The algorithm has time and space complexity $O(\lambda^n)$ with $\lambda \approx 2.6$. It allows us to compute $R_{n}(p)$ up to $n=24$. We use the data to compute estimates for the percolation threshold $p_c$ that are several orders of magnitude more precise than estimates based on Monte-Carlo simulations.

Spin dynamics and spin correlations in the spinS=1 two-dimensional square-lattice Heisenberg antiferromagnet La2NiO4

1995 ◽  
Vol 96 (4) ◽  
pp. 479-489 ◽  
Author(s):  
K. Nakajima ◽  
K. Yamada ◽  
S. Hosoya ◽  
Y. Endoh ◽  
M. Greven ◽  
...  
Keyword(s):  
Spin Dynamics ◽  
Square Lattice ◽  
Two Dimensional ◽  
Heisenberg Antiferromagnet ◽  
Spin Correlations

Site Dilution Study of a Square Lattice Heisenberg Antiferromagnet withS=5/2Covering the Percolation Threshold

2000 ◽  
Vol 69 (11) ◽  
pp. 3696-3703 ◽  
Author(s):  
Kazuyoshi Takeda ◽  
Osamu Fujita ◽  
Masako Hitaka ◽  
Masaki Mito ◽  
Tatsuya Kawae ◽  
...  
Keyword(s):  
Percolation Threshold ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet
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