1997/12/01 by Jon Magne Leinaas, S. Viefers, Leinaas, Jon Magne +2
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9712009
25 pages, including 5 postscript figures
arxiv created 1997/12/01 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Chern-Simons Ginzburg-Landau theory for the fractional Quantum Hall\neffect is studied in the presence of a confining potential. We review the bulk\nproperties of the model and discuss how the plateau formation emerges without\nany impurity potential. The effect is related to changes, by accumulation of\ncharge, at the edge when the chemical potential is changed. Fluctuations about\nthe ground state are examined and an expression is found for the velocity of\nthe massless edge mode in terms of the confining potential. The effect of\nincluding spin is examined for the case when the system is fully polarized in\nthe bulk. In general a spin texture may appear at the edge, and we examine this\neffect in the case of a small spin down component. The low frequency edge modes\nare examined and a third order equation is found for velocities which indicates\nthe presence of three different modes. The discussions are illustrated by\nnumerical studies of the ground states, both for the one- and two-component\ncases.\n