Clustering in quantum Hall effect: Spin-charge coupling

Abstract

The effective fractional charges like 17/4 or 19/4 are explained by our angular momentum theory. These fractions do not arise from the odd denominator rule. Due to spin polarization for both of these along the magnetic field, these states are not the particle-hole conjugates. The idea of clustering first introduced in cond-mat/0303309 has been extended to atomic clusters which explain the oscillations in the kHz range. The effective charge is found to depend linearly on spin, i.e., charge \pm spin =1/2. This is a new spin-charge coupling relationship in a purely electronic system.