REAL-SPACE RENORMALIZATION-GROUP APPROACH TO THE 2D ANTIFERROMAGNETICHEISENBERG-MODEL

Citation
G. Sierra et Ma. Martindelgado, REAL-SPACE RENORMALIZATION-GROUP APPROACH TO THE 2D ANTIFERROMAGNETICHEISENBERG-MODEL, Physics letters. Section B, 391(3-4), 1997, pp. 381-387
Citations number
22
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
391
Issue
3-4
Year of publication
1997
Pages
381 - 387
Database
ISI
SICI code
0370-2693(1997)391:3-4<381:RRATT2>2.0.ZU;2-Q
Abstract
We apply real-space RG techniques to study the quantum two-dimensional antiferromagnetic Heisenberg model for arbitrary values of the spin S on a square lattice. We introduce a 5-block truncation scheme which y ields complete analytical results for renormalizing spin factors, grou nd state energy and non-zero staggered magnetization. Our RG-flow equa tions show that the 2D model remains massless For All S. We propose th at the valence bonds forming the ground state of the 2D-AF Heisenberg model on a square lattice rotate under the effect of the antiferromagn etic background.