Local scale invariance and strongly anisotropic equilibrium critical systems

Details Local scale invariance and strongly anisotropic equilibrium critical systems Local scale invariance and strongly anisotropic equilibrium critical systems

1996-10-24

arxiv.org/abs/cond-mat/9610174v2

Phys. Rev. Lett. 78, 1940 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages Revtex, no figures, with file multicol.sty, to appear in PRL

Scientific paper

10.1103/PhysRevLett.78.1940

A new set of infinitesimal transformations generalizing scale invariance for strongly anisotropic critical systems is considered. It is shown that such a generalization is possible if the anisotropy exponent \theta =2/N, with N=1,2,3 ... Differential equations for the two-point function are derived and explicitly solved for all values of N. Known special cases are conformal invariance (N=2) and Schr\"odinger invariance (N=1). For N=4 and N=6, the results contain as special cases the exactly known scaling forms obtained for the spin-spin correlation function in the axial next nearest neighbor spherical (ANNNS) model at its Lifshitz points of first and second order.

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