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Criticality of the discrete N-vector ferromagnet in a cubic lattice with a free surface

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  • Chame, Anna
  • Tsallis, Constantino

Abstract

We study a discrete N-component spin ferromagnet with Hamiltonian βH= −NK∑〈i,j〉(Si·Sj)−N2L∑〈i,j〉(Si·Sj)2 in a semi-infinite cubic lattice. The coupling constants at the surface, Ks and Ls, are allowed to be different from the bulk ones, KB and LB. 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.

Suggested Citation

  • Chame, Anna & Tsallis, Constantino, 1990. "Criticality of the discrete N-vector ferromagnet in a cubic lattice with a free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(1), pages 41-63.
    • Handle: RePEc:eee:phsmap:v:165:y:1990:i:1:p:41-63
    DOI: 10.1016/0378-4371(90)90241-J
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