On critical behavior of phase transitions in certain antiferromagnets with complicated ordering

Details On critical behavior of phase transitions in certain antiferromagnets with complicated ordering On critical behavior of phase transitions in certain antiferromagnets with complicated ordering

2001-09-19

arxiv.org/abs/cond-mat/0109338v2

JETP Letters 74 (2001) 279-283

Physics

Condensed Matter

Statistical Mechanics

Published version

Scientific paper

10.1134/1.1417166

Within the four-loop $\ve$ expansion, we study the critical behavior of certain antiferromagnets with complicated ordering. We show that an anisotropic stable fixed point governs the phase transitions with new critical exponents. This is supported by the estimate of critical dimensionality $N_c^C=1.445(20)$ obtained from six loops via the exact relation $N_c^C={1/2} N_c^R$ established for the real and complex hypercubic models.

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