De Haas-van Alphen, quantized Hall and Meissner effects.

In a general case the two dimensional de Haas-van Alphen effect is related to macroscopic non-dissipative currents at the edge states. The currents exponentially decay inside the sample. At low enough temperatures this is manifested by temperature- independent spikes in differential magnetic susceptibility chi. Diamagnetism yields the deviation in the Quantized Hall filling factor from an exact integer. Temperature independent chi spikes are demonstrated also in relatively thick samples.