Finite size scaling study of lattice models in the three-dimensional Ising universality class
We study the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. To this end we perform Monte Carlo simulations using a hybrid of the local Metropolis, the single cluster and the wall cluster algorithm. Using finite size scaling we determi...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
23 November 2010
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2010, Volume: 82, Issue: 17, Pages: 1-13 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.82.174433 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.82.174433 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.82.174433 
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| Author Notes: | Martin Hasenbusch |
| Summary: | We study the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. To this end we perform Monte Carlo simulations using a hybrid of the local Metropolis, the single cluster and the wall cluster algorithm. Using finite size scaling we determine the value D∗=0.656(20) of the parameter D, where leading corrections to scaling vanish. We find ω=0.832(6) for the exponent of leading corrections to scaling. In order to compute accurate estimates of critical exponents, we construct improved observables that have a small amplitude of the leading correction for any model. Analyzing data obtained for D=0.641 and 0.655 on lattices of a linear size up to L=360 we obtain ν=0.63002(10) and η=0.03627(10). We compare our results with those obtained from previous Monte Carlo simulations and high-temperature series expansions of lattice models, by using field-theoretic methods and experiments. |
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| Item Description: | Gesehen am 09.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.82.174433 |