--- title: "Criticality of the Discrete N-Vector Ferromagnet in Planar Self-Dual Lattices • CBPF Index" description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb6ef" locale: es meta: "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Criticality%2Bof%2Bthe%2BDiscrete%2BN-Vector%2BFerromagnet%2Bin%2BPlanar%2BSelf-Dual%2BLattices%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~Qy4gVHNhbGxpczsgQS4gTS4gTWFyaXo7IEEuIFN0ZWxsYTsgTC4gUi4gU2lsdmE%2Cdetalhe_1989%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI2ZWYi%2Cs_GXlWpn97Np4-y-fX.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Criticality of the Discrete N-Vector Ferromagnet in Planar Self-Dual Lattices • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Criticality%2Bof%2Bthe%2BDiscrete%2BN-Vector%2BFerromagnet%2Bin%2BPlanar%2BSelf-Dual%2BLattices%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~Qy4gVHNhbGxpczsgQS4gTS4gTWFyaXo7IEEuIFN0ZWxsYTsgTC4gUi4gU2lsdmE%2Cdetalhe_1989%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI2ZWYi%2Cs_GXlWpn97Np4-y-fX.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Criticality of the Discrete N-Vector Ferromagnet in Planar Self-Dual Lattices** **C. Tsallis; A. M. Mariz; A. Stella; L. R. Silva** 1989 [**Descargar PDF **0,6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb6ef/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Criticality%20of%20the%20Discrete%20N-Vector%20Ferromagnet%20in%20Planar%20Self-Dual%20Lattices) ## **Datos de la publicación**
Autores
C. Tsallis; A. M. Mariz; A. Stella; L. R. Silva
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
1989
Descripción
We study an extended version of the discrete N-vector (or cubic) ferromagnetic model within a real space renormalization group approach which preserves the two-spin correlation function. The N−evolution (for ''real'' values of N) of the Wheatstone-bridge hierarchical lattice phase diagram, which presents paramagnetic, intermediate (nematic-like) and ferromagnetic phases, as well as of the thermal (<math>\nu </math>) and crossover (<math>\varnothing </math>) critical exponents, is presented. The self-avoiding walk problem is recovered in the N <math> \to </math> 0 limit, and the so called "corner-rule" is reobtained in a larger context. The Ising, N- and 2N-state Potts ferromagnets are recovered as particular cases. An interchange of stability occurs at N = N* <math>\simeq </math> 6.9 in such a way that the 2N-state Potts special point (where all three existing phases join) is a multicritical one if N < N* but only a critical one if N > N* (consistently <math>\varnothing </math>(N*)=0). For the cubic model, <math>\nu </math>(N) presents a maximum at N = N<sub>max</sub> <math>\simeq </math>1.5. The results are exact, for all N, for the Wheatstone-bridge hierarchical lattice, and approximate, for N <math> \leqslant </math> 2, for the square lattice. Last but not least, we discuss the connection between the present approach and the phenomenological renormalization group.
Año
1989
Número
CBPF-NF-017/89
Vínculo con tesis
No
Vínculo con beca
No
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