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Three-dimensional $O(N)$-invariant $\phi^4$ models at criticality for $N\ge 4$
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abstract
We study the $O(N)$-invariant $\phi^4$ model on the simple cubic lattice by using Monte Carlo simulations. By using a finite size scaling analysis, we obtain accurate estimates for the critical exponents $\nu$ and $\eta$ for $N=4$, $5$, $6$, $8$, $10$, and $12$. We study the model for each $N$ for at least three different values of the parameter $\lambda$ to control leading corrections to scaling. We compare our results with those obtained by other theoretical methods.
Forward citations
Cited by 2 Pith papers
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Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class
High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.
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Eliminating leading and subleading corrections to scaling in the three-dimensional XY universality class
Tuning the ratio of two couplings in a cubic-lattice clock model removes the leading and shrinks the subleading corrections to scaling, yielding eta = 0.03816(2) and 1/nu = 1.48872(5).
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