Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-01-21
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
3 figures
Scientific paper
10.1103/PhysRevB.60.2084
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 {\it 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 $\omega \sim q$ 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.
D'Amico Irene
Vignale Giovanni
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