Specific heat amplitude ratios for anisotropic Lifshitz critical behaviors

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 ${\epsilon }_L$-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.

8 pages, RevTex, accepted as a Brief Report in Physical Review B

References in corpus (3)

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• Reply to "Comment on Renormalization group picture of the Lifshitz critical behaviors"

Cited by in corpus (8)

• Callan-Symanzik-Lifshitz approach to generic competing systems
• Critical behavior of generic competing systems
• Callan-Symanzik method for $m$-axial Lifshitz points
• New universality classes for generic higher character Lifshitz points
• Susceptibility amplitude ratio for generic competing systems
• Scaling in a temperature quench in systems with a Lifshitz point: Nonconserved and conserved order parameters
• Isothermal magnetocaloric effect in the vicinity of the Lifshitz point in Mn_{0.9}Co_{0.1}P
• On the completeness of the ${\delta }_{KLS}$-generalized statistical field theory