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

Article

关键词: QUANTUM HALL SYSTEMS;    MAGNETIC-FIELD;    SMOOTH EDGES;    EXCITATIONS;   

DOI  :  10.1103/PhysRevB.60.2084

来源: SCIE

【 摘 要 】

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 omega similar to 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. [S0163-1829(99)07927-8].

【 授权许可】

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