Abstract
We study a discrete N-component spin ferromagnet with Hamiltonian β H= −NK ∑ 〈i,j〉 ( S i· S j)−N 2L ∑ 〈i,j〉 ( S i· S j) 2 in a semi-infinite cubic lattice. The coupling constants at the surface, K s and L s, are allowed to be different from the bulk ones, K B and L B. Using a simple real-space renormalization group procedure we obtain the N-evolution ( N real) of the phase diagram, including the N→0 and N→∞ limits. The thermal ( v) and crossover (φ) critical exponents at various critical and multicritical points are calculated.
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More From: Physica A: Statistical Mechanics and its Applications
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