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Specific heat amplitude ratios for anisotropic Lifshitz critical behaviors

Marcelo M. Leite
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Abstract

We determine the specific heat amplitude ratio near a $m$-axial Lifshitz point and show its universal character. Using a recent renormalization group picture along with new field-theoretical $ε_{L}$-expansion techniques, we established this amplitude ratio at one-loop order. We estimate the numerical value of this amplitude ratio for $m=1$ and $d=3$. The result is in very good agreement with its experimental measurement on the magnetic material $MnP$. It is shown that in the limit $m \to 0$ it trivially reduces to the Ising-like amplitude ratio.

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Marcelo M. Leite. 2003-04-03. Specific heat amplitude ratios for anisotropic Lifshitz critical behaviors. https://doi.org/10.1103/physrevb.68.052408

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