Martin Hasenbusch 2001 J. Phys. A: Math. Gen. 34 8221 doi:10.1088/0305-4470/34/40/302
Eliminating leading corrections to scaling in the three-dimensional O(N)-symmetric 
4 model: N = 3 and 4
Martin Hasenbusch1
Show affiliations We study corrections to scaling in the O(3)- and O(4)-symmetric 4 model on the three-dimensional simple cubic lattice with nearest-neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite-size scaling method. We find that a finite value of the coupling λ* exists for both values of N, where leading corrections to scaling vanish. As a first application, we compute the critical exponents ν = 0.710(2) and η = 0.0380(10) for N = 3 and ν = 0.749(2) and η = 0.0365(10) for N = 4.
- PACS
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64.60.Cn Order–disorder transformations
64.60.F- Equilibrium properties near critical points, critical exponents
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
- Subjects
- Dates
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Issue 40 (12 October 2001)
Received 10 November 2000, in final form 26 June 2001
Published 28 September 2001
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Eliminating leading corrections to scaling in the three-dimensional O(N)-symmetric 4 model: N = 3 and 4
Martin Hasenbusch 2001 J. Phys. A: Math. Gen. 34 8221
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