English

Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry

Strongly Correlated Electrons 2007-05-23 v2 Statistical Mechanics High Energy Physics - Theory

Abstract

A novel nonlinear sigma model method is proposed for the two-dimensional J1-J2 model, which is extended to include plaquette-type distortion. The nonlinear sigma model is properly derived without spoiling the original spin degrees of freedom. The method shows that a single disordered phase continuously extends from a frustrated uniform regime to an unfrustrated distorted regime. By the continuity and Oshikawa's commensurability condition, the disordered ground states for the uniform J1-J2 model are plaquette states with four-fold degeneracy.

Keywords

Cite

@article{arxiv.cond-mat/0306632,
  title  = {Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry},
  author = {Ken'ichi Takano and Yoshiya Kito and Yoshiaki Ono and Kazuhiro Sano},
  journal= {arXiv preprint arXiv:cond-mat/0306632},
  year   = {2007}
}

Comments

4 pages (including 2 figures)