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

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

2003-06-25

arxiv.org/abs/cond-mat/0306632v2

Phys.Rev.Lett. 91 (2003) 197202

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages (including 2 figures)

Scientific paper

10.1103/PhysRevLett.91.197202

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.

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