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Polarization Of Quantum Hall States, Skyrmions and Berry Phase

2003/01/21 by Banasri Basu, B. Basu, Basu, B. +6 · 1 citation
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0301368

6 pages

arxiv created 2003/01/21 · openalex publication_date 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ν=1 as well as ν=(1)/(2m+1), m being an integer. However, for ν=p as well as ν=(p)/(q), with p>1 and odd, q odd we have partially polarized states and for ν=(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.

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