On the damping in the two-dimensional frustrated Heisenberg model

The influence of damping on the phase diagram of two-dimensional S=1/2 frustrated Heisenberg model is investigated. The damping is introduced semiphenomenologically in the frames of self-consistent spherically-symmetric approach for spin Green's functions. The comparison of the results with numerical calculations shows that the damping γ is significant (γ∼0.5) at the point of checkerboard long-range loss (frustration parameter p?0.275). The role of the vertex corrections is also investigated.