Theory of Spin Susceptibility in Frustrated Layered Antiferromagnets

The self-consistent treatment of real and imaginary renormalizations in the dynamic spin susceptibility for the frustrated Heisenberg model reproduces for cuprates at low doping: a spin spectrum, a saddle point for q near (pi/2,pi/2), nearly constant q-integrated susceptibility for energy less than 150 meV and a scaling law. Frustration increase (optimally doped case) leads to a stripe scenario with a saddle point at q near (pi,pi/2) and ${\chi }_{2D}(\omega )$ peak near 30meV. The obtained $\chi (\mathbf{q},\omega )$ describes neutron scattering results and leads to well-known temperature transport anomalies in doped cuprates.