TY - JOUR

T1 - Large-n expansion for m-axial Lifshitz points

AU - Shpot, M. A.

AU - Pis'mak, Yu M.

AU - Diehl, H. W.

PY - 2005/5/25

Y1 - 2005/5/25

N2 - 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 nontrivial contributions to O (1/n) are derived for the two independent correlation exponents ηL2 and η L4, and the related anisotropy index θ. The series coefficients of these 1/n corrections are given for general values of m and d with 0≤m≤d and 2+m/2L2, ηL4 and θ are presented for the physically interesting case of a uniaxial Lifshitz point in three dimensions, as well as for some other choices of m and d. A universal coefficient associated with the energy-density pair correlation function is calculated to leading order in 1/n for general values of m and d.

AB - 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 nontrivial contributions to O (1/n) are derived for the two independent correlation exponents ηL2 and η L4, and the related anisotropy index θ. The series coefficients of these 1/n corrections are given for general values of m and d with 0≤m≤d and 2+m/2L2, ηL4 and θ are presented for the physically interesting case of a uniaxial Lifshitz point in three dimensions, as well as for some other choices of m and d. A universal coefficient associated with the energy-density pair correlation function is calculated to leading order in 1/n for general values of m and d.

UR - http://www.scopus.com/inward/record.url?scp=18744384740&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/17/20/020

DO - 10.1088/0953-8984/17/20/020

M3 - Article

AN - SCOPUS:18744384740

VL - 17

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 20

ER -