Large-n expansion for m-axial Lifshitz points
| dc.creator | Shpot, M. A. | |
| dc.creator | Pis'mak, Yu. M. | |
| dc.creator | Diehl, H. W. | |
| dc.date | 2004-12-15 | |
| dc.date | 2005-01-21 | |
| dc.date.accessioned | 2026-07-07T03:02:43Z | |
| dc.date.available | 2026-07-07T03:02:43Z | |
| dc.description | 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 η_{L2} 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/2<d<4+m/2 in the form of integrals. For special values of m and d such as (m,d)=(1,4), they can be computed analytically, but in general their evaluation requires numerical means. The 1/n corrections are shown to reduce in the appropriate limits to those of known large-n expansions for the case of d-dimensional isotropic Lifshitz points and critical points, respectively, and to be in conformity with available dimensionality expansions about the upper and lower critical dimensions. Numerical results for the 1/n coefficients of η_{L2}, η_{L4} and θare 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. | |
| dc.description | 28 pages, 3 figures. Submitted to: J. Phys. C: Solid State Phys., special issue dedicated to Lothar Schaefer on the occasion of his 60th birthday. V2: References added along with corresponding modifications in the text, corrected figure 3, corrected typos | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0412405 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0412405 | |
| dc.identifier | J.Phys.Condens.Matter 17 (2005) S1947-S1972 | |
| dc.identifier | doi:10.1088/0953-8984/17/20/020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25496 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Large-n expansion for m-axial Lifshitz points | |
| dc.type | text |