Nota de FísicaPublicado
Criticality of the Discrete N-Vector Ferromagnet in a Cubic Lattice with a Free Surface
A. M. N. Chame; C. Tsallis
1989
Datos de la publicación
- Autores
- A. M. N. Chame; C. Tsallis
- Tipo
- Nota de Física
- Estado
- Publicado
- Fecha de publicación
- 1989
- Descripción
- We study a discrete N-component spin ferromagnet with Hamiltonian <math>\beta {\mathcal H}=-NK\sum_{<i,j>}(\vec{S}_i\cdot \vec{S}_j) -N^2L\sum_{<i,j>}(\vec{S}_i\cdot \vec{S}_j)^2</math> in a semi-infinite cubic lattice. The coupling constants at the surface, <math>K_s\,\!</math> and <math>L_s\,\!</math>, are allowed to be different from the bulk ones, <math>K_B\,\!</math> and <math>L_B\,\!</math>. Using a simple real-space renormalisation group procedure we obtain the N-evolution (N real) of the phase diagram, including the <math>N\rightarrow 0\,\!</math> and <math>N\rightarrow \infty</math> limits. The thermal (<math>\nu\,\!</math>) and crossover (<math>\phi\,\!</math>) critical exponents at various critical and multicritical points are calculated.
- Año
- 1989
- Número
- CBPF-NF-059/89
- Vínculo con tesis
- No
- Vínculo con beca
- No