Doping dependence of the Neel temperature in mott-hubbard antiferromagnets: effect of vortices

The rapid destruction of long-range antiferromagnetic order upon doping of Mott-Hubbard antiferromagnetic insulators is studied within a generalized Berezinskii-Kosterlitz-Thouless renormalization group theory in accordance with recent calculations suggesting that holes dress with vortices. We calculate the doping-dependent Neel temperature in good agreement with experiments for high- T(c) cuprates. Interestingly, the critical doping where long-range order vanishes at zero temperature is predicted to be x(c) approximately 0. 02, independently of any energy scales of the system.