Abstract

We report explicit results for the zero-field correlation length, xi (T;L), of a spherical-model ferromagnet confined to geometry Ld-d'* infinity d' (d>2, d'<or=2) and subjected to 'twisted' boundary conditions. In the region of first-order phase transition (T<Tc), xi under 'twisted' boundary conditions obeys the same scaling law as under periodic boundary conditions, though with a different amplitude. In the 'core' region (T approximately=Tc), the scaling behaviour changes radically as one moves from one set of boundary conditions to the other-affected greatly by the 'pinning' of the ground-state wavevector k0 of the system.

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