Renormalized spin susceptibility in layered frustrated antiferromagnet related to cuprates

The self-consistent treatment of real and imaginary renormalizations in the dynamic spin susceptibility χ(q,ω)χ(q,ω) for the frustrated Heisenberg model reproduces for cuprates at low doping: a spin spectrum ωqωq, a saddle point for q≈(π/2,π/2)q≈(π/2,π/2), nearly constant q  -integrated susceptibility χ2D(ω)χ2D(ω) for ω≲150 meVω≲150 meV and a scaling law for χ2D(ω)χ2D(ω). Frustration increase (optimally doped case) leads to a stripe scenario with an ωqωq-saddle point at q≈(π;π/2)q≈(π;π/2) and χ2D(ω)χ2D(ω) peak at ω≈30 meVω≈30 meV. The obtained χ(q,ω)χ(q,ω) describes neutron scattering results and leads to well-known temperature transport anomalies in doped cuprates.