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We extend the nonlinear spin wave theory (NLSWT) for the spin 1/2antiferromagnetic Heisenberg model on a triangular lattice (TAFHM). This novelNLSWT considers the corrections one order higher in 1/S than the linear spinwave theory (LSWT). It also distinguishes in which circumstance the negativeenergy excitation, the sign of the breakdown of LSWT, shall be renormalized tobe positive both by a boson normal ordering and a self-consistent iteration. Wedraw a phase diagram by testing the stability of various magnetic orders fordifferent parameters. In particular, the incommensurate configuration is foundunstable by our study. The new phase transition point (PTP) of the collinearconfiguration agrees well with various previous studies.

A novel nonlinear spin wave theory for the spin 1/2 antiferromagnetic Heisenberg model on a triangular lattice