First-order transition in helimagnetic systems with Heisenberg spins

D Loison

Physica A: Statistical Mechanics and its Applications, 2000, vol. 275, issue 1, 207-216

Abstract: We perform Monte Carlo simulations on the body-centered-tetragonal helimagnet with Heisenberg spins which has the same breakdown of symmetry as the stacked triangular antiferromagnetic lattices and must belong to the same universality class. We obtain a second-order transition with similar critical exponents showing slight differences, which may be connected to the effects of the periodic boundary conditions imposed on MC simulations. This is in contradiction with the renormalization group (RG) studies which predict a first-order transition. Using Zumbach's concept of a complex fixed point we reconcile the difference in behavior between simulation and RG studies and show that the transition should be of first order for an infinite system.

Keywords: Phase transition; Monte Carlo; Frustrated spins system (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843719900360X
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:275:y:2000:i:1:p:207-216

DOI: 10.1016/S0378-4371(99)00360-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 ().