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Updated: Aug 30, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Nonlinear sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry
Ken'ichi Takano1, Yoshiya Kito, Yoshiaki Ono
1Toyota Technological Institute, Tenpaku-ku, Nagoya 468-8511, Japan.
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 fourfold degeneracy.
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