The Angular momentum aspect of shift in FQHE

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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9 pages

Scientific paper

10.1016/j.physleta.2005.07.019

The angular momentum of the Hall particles acquiring Berry phases from quantization,is the very source of unifying the physics of IQHE and FQHE. The origin of {\it Shift} quantum number lies in the change of angular momentum of the Hall particles from higher to lower Landau level. Here the non-vanishing effect of {\it Shift} in 2D has been evaluated in the framework of $Z_p$ spin system and in view of these, Ising model and XY model are studied.

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