Behaviour of the critical wavevector near a Lifshitz point
- 1 March 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (3), 595-601
- https://doi.org/10.1088/0305-4470/11/3/020
Abstract
Using scaling arguments, it is shown that, at a Lifshitz point, the exponent beta k is related to the crossover exponent phi by beta kappa = nu l4/ phi . The exponents eta l4 and beta kappa are calculated for a uniaxial Lifshitz point to O( epsilon l2), where epsilon l=4.5-d. The results are eta l4=-((n+2)/4(n+8)2) epsilon l2 and beta kappa =1/2+(7(n+2)/16(n+8)2) epsilon l2.Keywords
This publication has 6 references indexed in Scilit:
- Critical behaviour associated with helical order near a Lifshitz pointJournal of Physics A: General Physics, 1977
- Critical Behavior at the Onset of-Space Instability on theLinePhysical Review Letters, 1975
- The renormalization group in the theory of critical behaviorReviews of Modern Physics, 1974
- The renormalization group and the ε expansionPhysics Reports, 1974
- Critical Behavior of Magnets with Dipolar Interactions. I. Renormalization Group near Four DimensionsPhysical Review B, 1973
- Feynman-Graph Expansion for Critical ExponentsPhysical Review Letters, 1972