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Anisotropic states at half-filled third and higher Landau levels areinvestigated in the system with a finite electric current. We study theresponse of the striped Hall state and the anisotropic charge density wave(ACDW) state against the injected current using the effective action. Currentdistributions and a current dependence of the total energy are determined forboth states. With no injected current, the energy of the ACDW state is lowerthan that of the striped Hall state. We find that the energy of the ACDW stateincreases faster than that of the striped Hall state as the injected currentincreases. Hence, the striped Hall state becomes the lower energy state whenthe current exceeds the critical value. The critical value is estimated atabout 0.04 - 0.05 nA which is much smaller than the current used in theexperiments. Our calculations are performed using a block diagonalizationtechnique on a von Neumann lattice. We review this technique in this thesis.

Anisotropic ground states of the quantum Hall system with currents