Variation of magnetic order for the 2-D systems of strongly correlated electrons with external magnetic field

Based on our earlier mean field approach (H. Doh et al., Phys. Rev. B 55 (1997) 14084), we present the variation of antiferromagnetic (staggered magnetization) order as a function of external magnetic field for the two-dimensional systems of strongly correlated electrons at half-filling. In the present work, we consider both the Zeeman and the Aharonov–Bohm effects in association with the Hubbard model. It is shown that the local minima of staggered magnetization and the undulatory variation of antiferromagnetic order remain unchanged up to a critical magnetic field and temperature. Further, we demonstrate that the Aharonov–Bohm (Berry) effect causes reduction in the critical magnetic field as a consequence of enhanced destruction of the antiferromagnetic order.