Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in <i>d > 2</I> Dimensions: Fourier-Legendre Renormalization-Group Theory
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2024
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Amer Physical Soc
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Abstract
The random-magnetic-field classical Heisenberg model is solved in spatial dimensions d >= 2 using the recently developed Fourier-Legendre renormalization-group theory for 47r steradians continuously orientable spins, with renormalization-group flows of 12 500 variables. The random-magnetic-field Heisenberg model is exactly solved in 10 hierarchical models, for d = 2, 2.26, 2.46, 2.58, 2.63, 2.77, 2.89, 3. For nonzero random fields, ferromagnetic order is seen ford > 2. This ordering, at d = 2.46, 2.58, 2.63, 2.77, 2.89, 3, shows reentrance as a function of temperature.
Description
Turkoglu, Alpar/0000-0002-3784-1300; Berker, A/0000-0002-5172-2172
Keywords
[No Keyword Available], Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics
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Physical review. E
Volume
109
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1
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