Effects of magnetic field on the two-dimensional systems of antiferromagnetically correlated electrons based on the Hubbard model Hamiltonian with easy axis: Aharonov-Bohm and Zeeman effects

In the present study we study the two-dimensional systems of antiferromagne ts with easy axis and the variation of staggered magnetization with the inc rease of magnetic fields. The Aharonov-Bohm and the Zeeman effects on the s taggered magnetizations are examined. The reentrant behavior of paramagneti c phase is shown to occur even at extremely high applied magnetic fields wh en only the Aharonov-Bohm effect is taken into account. An inhomogeneous ph ase (i.e., the inhomogeneous distribution with antiferromagnetic clusters) is also shown to exhibit the reentrant behavior. On the other hand, when th e Zeeman effect is introduced, the reentrant behavior occurs only at low fi elds below a critical magnetic field corresponding to a critical Zeeman ene rgy close to the hopping energy in the order of magnitude.