Dipoles and fractional quantum Hall masses

Article

关键词: FILLED LANDAU-LEVEL;    LIQUID-LIKE STATE;    COMPOSITE FERMIONS;    HAMILTONIAN DESCRIPTION;    LAYER THICKNESS;    EXCITATION GAP;    PARTICLES;    SURFACE;    NU=1/2;   

DOI  :  10.1103/PhysRevB.62.4605

来源: SCIE

【 摘 要 】

We develop a microscopic formalism to study the fractional quantum Hall plateaus at filling factors nu away from 1/2 beta, where beta is an integer. The theory is in terms of quasiparticles that carry a charge e* equal to 1 -2 beta nu times the charge of the electron. The wave functions obtained following our approach are shown to coincide precisely with the form predicted by Jain, and this holds independently of the interaction potential. Microscopically, this rigidity originates from the fact that two different charges interacting attractively in their lowest Landau levels form a bound state with a universal wave function. From the expressions for the gaps we compute an effective mass, which agrees well with experiments carried at nu = 1/2 and 1/4.

【 授权许可】

Free