Uniaxial Lifshitz Point at $O(ε_L^2)$

Details Uniaxial Lifshitz Point at $O(ε_L^2)$ Uniaxial Lifshitz Point at $O(ε_L^2)$

2000-06-29

arxiv.org/abs/cond-mat/0006462v4

Physics

Condensed Matter

18 pages, Revtex, updated version with four figures, some references added

Scientific paper

The critical exponents $\nu_{L2}, \eta_{L2}$ and $\gamma_{L2}$ of a uniaxial Lifshitz point are calculated at two-loop level using renormalization group and $\epsilon_{L}$-expansion techniques. We found a new constraint involving the loop momenta along the competition axis, which allows to solve the two-loop integrals. The exponent $\gamma_{L2}$ obtained using our method is in good agreement with numerical estimates based on Monte Carlo simulations.

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