Published in

Institute for Condensed Matter Physics, Condensed Matter Physics, 3(12), p. 463-478

DOI: 10.5488/cmp.12.3.463

Links

Tools

Export citation

Search in Google Scholar

Grassmann techniques applied to classical spin systems

Journal article published in 2009 by Maxime Clusel, Jean-Yves Fortin ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

Full text: Download

Question mark in circle
Preprint: policy unknown
Upload
Question mark in circle
Postprint: policy unknown
Upload
Question mark in circle
Published version: policy unknown
Upload
Policy details
Data provided by SHERPA/RoMEO

Abstract

We review problems involving the use of Grassmann techniques in the field of classical spin systems in two dimensions. These techniques are useful to perform exact correspondences between classical spin Hamiltonians and field-theory fermionic actions. This contributes to a better understanding of critical behavior of these models in term of non-quadratic effective actions which can been seen as an extension of the free fermion Ising model. Within this method, identification of bare masses allows for an accurate estimation of critical points or lines and which is supported by Monte-Carlo results and diagrammatic techniques.