Large-n expansion for m-axial Lifshitz points

Details Large-n expansion for m-axial Lifshitz points Large-n expansion for m-axial Lifshitz points

2004-12-15

arxiv.org/abs/cond-mat/0412405v2

J.Phys.Condens.Matter 17 (2005) S1947-S1972

Physics

Condensed Matter

Statistical Mechanics

28 pages, 3 figures. Submitted to: J. Phys. C: Solid State Phys., special issue dedicated to Lothar Schaefer on the occasion o

Scientific paper

10.1088/0953-8984/17/20/020

The large-n expansion is developed for the study of critical behaviour of d-dimensional systems at m-axial Lifshitz points with an arbitrary number m of modulation axes. The leading non-trivial contributions of O(1/n) are derived for the two independent correlation exponents \eta_{L2} and \eta_{L4}, and the related anisotropy index \theta. The series coefficients of these 1/n corrections are given for general values of m and d with 0

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