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
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