Scaling and universality in the phase diagram of the 2D Blume-Capel model
We review the pertinent features of the phase diagram of the zero-field Blume-Capel model,
focusing on the aspects of transition order, finite-size scaling and universality. In particular …
focusing on the aspects of transition order, finite-size scaling and universality. In particular …
Multigrid monte carlo method. conceptual foundations
J Goodman, AD Sokal - Physical Review D, 1989 - APS
We present details of a stochastic generalization of the multigrid method, called multigrid
Monte Carlo (MGMC), that reduces critical slowing down in Monte Carlo computations of …
Monte Carlo (MGMC), that reduces critical slowing down in Monte Carlo computations of …
Cluster Algorithms for General- Quantum Spin Systems
S Todo, K Kato - Physical review letters, 2001 - APS
We present a general strategy to extend quantum cluster algorithms for S= 1 2 spin systems,
such as the loop algorithm, to those with an arbitrary size of spins. The partition function of a …
such as the loop algorithm, to those with an arbitrary size of spins. The partition function of a …
Néel temperature of quasi-low-dimensional Heisenberg antiferromagnets
The Néel temperature TN of quasi-one-and quasi-two-dimensional antiferromagnetic
Heisenberg models on a cubic lattice is calculated by Monte Carlo simulations as a function …
Heisenberg models on a cubic lattice is calculated by Monte Carlo simulations as a function …
Critical behavior of the three-dimensional Ising spin glass
We have simulated, using parallel tempering, the three-dimensional Ising spin glass model
with binary couplings in a helicoidal geometry. The largest lattice (L= 20) has been studied …
with binary couplings in a helicoidal geometry. The largest lattice (L= 20) has been studied …
Critical exponents of the three-dimensional diluted Ising model
We study the phase diagram of the site-diluted Ising model in a wide dilution range, through
Monte Carlo simulations and finite-size scaling techniques. Our results for the critical …
Monte Carlo simulations and finite-size scaling techniques. Our results for the critical …
Universality in three-dimensional Ising spin glasses: A Monte Carlo study
HG Katzgraber, M Körner, AP Young - Physical Review B—Condensed Matter …, 2006 - APS
We study universality in three-dimensional Ising spin glasses by large-scale Monte Carlo
simulations of the Edwards-Anderson Ising spin glass for several choices of bond …
simulations of the Edwards-Anderson Ising spin glass for several choices of bond …
Ground-state phase diagram of quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice
M Matsumoto, C Yasuda, S Todo, H Takayama - Physical Review B, 2001 - APS
Abstract The S= 1/2 and S= 1 two-dimensional quantum Heisenberg antiferromagnets on
the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo …
the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo …
Critical behavior of the two-dimensional XY model
R Gupta, CF Baillie - Physical Review B, 1992 - APS
Abstract We present detailed Monte Carlo results for the susceptibility χ, correlation length ξ,
and specific heat C v for the XY model. The simulations are done on 64 2, 128 2, 256 2, and …
and specific heat C v for the XY model. The simulations are done on 64 2, 128 2, 256 2, and …
Universality in the three-dimensional random-field Ising model
We solve a long-standing puzzle in statistical mechanics of disordered systems. By
performing a<? format?> high-statistics simulation of the D= 3 random-field Ising model at …
performing a<? format?> high-statistics simulation of the D= 3 random-field Ising model at …