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

Anna Chame and Constantino Tsallis

Physica A: Statistical Mechanics and its Applications, 1990, vol. 165, issue 1, 41-63

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.

Date: 1990
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719090241J
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:165:y:1990:i:1:p:41-63

DOI: 10.1016/0378-4371(90)90241-J

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().