New insight into the thermodynamics of Heisenberg ferromagnets as inferred from high-temperature series
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文摘
In search of a suitable equation of state for ferromagnets, we revise the information about the Heisenberg model obtainable from high-temperature series. Special attention is paid to the ratio χ3/χ4χ3/χ4 (where χ⁢and⁢χ3 are the linear and cubic susceptibilities) related to Landau's quartic coefficient b  . It is found in particular that both χ3/χ4χ3/χ4 and b   tend to a finite limit as T→TCT→TC. This limit is small — an order of magnitude smaller than predicted by Weiss's molecular field and similar theories — but contrary to the common belief, nonzero. This implies a rejection of the generally accepted critical-point exponents and a return to those of Landau: α=0α=0, β=12, γ=1γ=1, etc.

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