Bond-moving transformations for continuous-spin systems

K. Sokalski and Th.W. Ruijgrok

Physica A: Statistical Mechanics and its Applications, 1985, vol. 130, issue 3, 412-436

Abstract: We consider two- and three-dimensional lattices with on each lattice a D-dimensional classical spin-vector. We restrict ourselves to nearest neighbour interactions which only depend on the angle between the spin-vectors. For these systems the bond-moving approximation of Migdal and Kadanoff is used to derive renormalisation group equations which do not violate the symmetry of the lattice. Without further approximations these equations are then solved numerically. In addition to the specific heat we also calculate critical temperatures, critical exponents and phase diagrams for ferromagnets, liquid crystals and other related systems. For the simple cubic lattice we find a rich phase diagram, which among others indicates the existence of an anti-nematic phase in liquid crystals.

Date: 1985
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843718590038X
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:130:y:1985:i:3:p:412-436

DOI: 10.1016/0378-4371(85)90038-X

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 ().