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Phase Transition in Three-Dimensional Noncollinear Magnetic Systems with Additional Two-Fold Degeneracy

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- J 1 - J 2 - J 3 model on a cubic lattice. For the case of Heisenberg spins ( N = 3), a first-order transition is found. Usin...

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Bibliographic Details
Published in:JETP letters 2020, Vol.111 (1), p.41-45
Main Author: Sorokin, A. O.
Format: Article
Language:English
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Summary: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- J 1 - J 2 - J 3 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.
ISSN:0021-3640
1090-6487
DOI:10.1134/S0021364020010130