FINITE-WAVE-VECTOR ELECTROMAGNETIC RESPONSE OF FRACTIONAL QUANTIZED HALL STATES

Article

关键词: RANDOM-PHASE APPROXIMATION;    QUANTUM HALL;    STATISTICS GAS;    LANDAU-LEVEL;    ELECTRON-GAS;    EXCITATIONS;   

DOI  :  10.1103/PhysRevB.48.17368

来源: SCIE

【 摘 要 】

A fractional quantized Hall state with filling fraction nu = p/(2mP + 1) can be modeled as an integer quantized Hall state of transformed-fermions, interacting with a Chern-Simons field. The electromagnetic response function for these states at arbitrary frequency and wave vector can be calculated using a semiclassical approximation or the random-phase approximation. However, such calculations do not properly take into account the large effective-mass renormalization which is present in the Chern-Simons theory. We show how the mass renormalization can be incorporated in a calculation of the response function within a Landau-Fermi-liquid theory approach such that Kohn's theorem and the f-sum rules are properly satisfied. We present results of such calculations.

【 授权许可】

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