Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-10-30
Phys. Rev. B, January 1999
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Text 12 pages in Latex/Revtex format, 4 Postscript figures
Scientific paper
10.1103/PhysRevB.59.2807
A random-phase approximation (RPA) treatment of edge magnetoplasmons (EMP) is presented for strong magnetic fields, low temperatures, and integer filling factors \nu. It is valid for negligible dissipation and lateral confining potentials smooth on the scale of the magnetic length \ell_{0} but sufficiently steep that the Landau-level (LL) flattening can be neglected. LL coupling, screening by edge states, and nonlocal contributions to the current density are taken into account. In addition to the fundamental mode with typical dispersion relation \omega\sim q_x \ln(q_{x}), fundamental modes with {\it acoustic} dispersion relation \omega\sim q_x are obtained for \nu>2. For \nu=1,2 a {\bf dipole} mode exists, with dispersion relation \omega\sim q_x^3, that is directly related to nonlocal responses.
Balev Oleg G.
Vasilopoulos P.
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