Continuum elasticity theory of edge waves in a two-dimensional electron liquid with finite-range interactions

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Continuum elasticity theory of edge waves in a two-dimensional electron liquid with finite-range interactions

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/7937

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Title: Continuum elasticity theory of edge waves in a two-dimensional electron liquid with finite-range interactions
Author: D'Amico, Irene; Vignale, Giovanni, 1957-
Keywords: tunneling
Date: 1999-07-15
Publisher: American Physical Society
Citation: Phys. Rev. B 60, 2084-2092 (1999)
Abstract: We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two- dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with the following simplifying assumptions: (i) The system is macroscopically homogeneous and isotropic in the half-plane delimited by the edge. (ii) The electron-electron interaction is of finite range due to screening by external electrodes. (iii) The system is nearly incompressible. At sufficiently small wave vector q we find a universal dispersion curve ω∼q independent of the shear modulus. At larger wave vectors the dispersion can change its form in a manner dependent on the comparison of various length scales. We obtain analytical formulas for the dispersion and damping of the modes in various physical regimes.
URI: http://hdl.handle.net/10355/7937
ISSN: 1098-0121

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