New universality classes for generic higher character Lifshitz points

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Revtex4, 5 pages, accepted for publication in Physics Letters A

Scientific paper

We describe new universality classes associated to generic higher character
Lifshitz critical behaviors for systems with arbitrary short range competing
interactions. New renormalization-group arguments are proposed for anisotropic
and isotropic systems. The usual $m$-axial Lifshitz universality classes are
obtained as a simple limit of this arbitrary competing critical behavior.

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