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

2001/09/01 by Andrey Mudrov, Andrei Mudrov, K. B. Varnashev +1 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Condensed matter physics #Critical phenomena #Materials science #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1134/1.1417166

published as JETP Letters 74 (2001) 279-283 · Published version

openalex publication_date 2001/09/01 · arxiv created 2001/09/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Within the four-loop ε 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 =1.445(20) obtained from six loops via the exact relation N =1/2N established for the complex and real hypercubic models.

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