In the framework of spin interactions, we study a two-dimensional system of
electrons with antiferromagnetic arrangement of spins considering the elec
tron a charged quantized vortex-type object. In the presence of a magnetic
held the system starts to move due to corroborated action of the vortex pop
ulation. The developed currents calculated in a hydrodynamic approach creat
e a magnetic field opposed to the applied magnetic field, leading to the ap
pearance of Meissner effect. (C) 1999 Elsevier Science B.V. All rights rese
rved.