Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-01-21
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages
Scientific paper
We have discussed here the polarization of quantum Hall states in the framework of the hierarchical analysis of IQHE and FQHE in terms of Berry phase. It is observed that we have fully polarized states for the filling factor $\nu=1$ as well as $\nu=\frac{1}{2m+1}$, $m$ being an integer. However, for $\nu=p$ as well as $\nu =\frac{p}{q}$, with $p>1$ and odd, $q$ odd we have partially polarized states and for $\nu=\frac{p}{q}$, $p$ even, $q$ odd we have unpolarized states. It has been found that skyrmion excitations exist only for fully polarized states and for partially polarized and unpolarized states skyrmionic excitations do not exist.
Bandyopadhyay Pradipta
Basu Baidyanath
Dhar Sourav
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