Nonlinear σ model method for the J1-J2 Heisenberg model : Disordered Ground State with Plaquette Symmetry

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A novel nonlinear a model method is proposed for the two-dimensional J1-J2 model, which is extended to include plaquette-type distortion. The nonlinear σ model is properly derived without spoiling the original spin degrees of freedom. A disordered phase is found to continue, without quantum phase transitions, from a frustrated uniform regime to an un frustrated 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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