NMR in the quantum Hall effect

Abstract

We report that the rate of field sweep is important for the observation of the zeroes in the transverse resistivity in the quantum Hall effect. The resistivity also shows resonances at the nuclear magnetic resonance (NMR) frequencies when the r.f. coil is placed along the x direction. The relationship of the eigen values with the resistivity is pointed out which shows that even if the eigen values are largely corresponding to that of the single-particle, the plateau widths, shifts and shape require many-body interactions.