Abstract
Using Monte Carlo simulations, we investigate the critical behavior in a three-dimensional frustrated helimagnet with an additional two-fold degeneracy, realized in a stacked-J1-J2-J3 model on a cubic lattice. For the case of Heisenberg spins (N = 3), a first-order transition is found. Using the renormalization group approach, the same result is also found for an arbitrary value N of component number of the classical spin. The corresponding Ginzburg-Landau functional is obtained from the lattice model and analyzed in lower orders of the 4 - ε expansion. We argue that the qualitative result don’t change if the higher orders of the expansion are taken into account.
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Acknowledgments
We are grateful to O.I. Utesov and A.V. Syromyatnikov for stimulating discussions.
Funding
This work was supported by the Russian Foundation for Basic Research (project no. 18-02-00706) and by the Foundation for the Advancement of Theoretical Physics BASIS (project no. 19-1-3-38-1).
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Sorokin, A.O. Phase Transition in Three-Dimensional Noncollinear Magnetic Systems with Additional Two-Fold Degeneracy. Jetp Lett. 111, 41–45 (2020). https://doi.org/10.1134/S0021364020010130
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DOI: https://doi.org/10.1134/S0021364020010130