Constraint equation for the lowest Landau level in the fractional quantum Hall system | Zendy

B. Sakita | Zendy; Dong-Ning Sheng | Zendy; Zhao-Bin Su | Zendy

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Constraint equation for the lowest Landau level in the fractional quantum Hall system

Author(s) -

B. Sakita,

Dong-Ning Sheng,

Zhao-Bin Su

Publication year - 1991

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.44.11510

Subject(s) - physics , quasiparticle , fractional quantum hall effect , quantum hall effect , landau quantization , transformation (genetics) , gauge theory , mathematical physics , constraint (computer aided design) , duality (order theory) , quantum mechanics , connection (principal bundle) , quantum electrodynamics , quantum spin hall effect , mathematics , superconductivity , magnetic field , biochemistry , chemistry , geometry , discrete mathematics , gene

We apply the singular gauge transformation to the constraint equation for the lowest Landau level to\udinvestigate the generic properties of the quasiparticles of the fractional quantum Hall system by using\udthe collective-field-theory approach. It shows a transparent connection with Laughlin s wave functions.\udIf we take an average over the wave functional for the constraint equation, the resulting equation can be\udinterpreted as the vortex equation for the fractionally charged quasiparticles. By introducing a generalized\udduality transformation, p(density)-8(phase) transformation, we can obtain the fractional statistics as\udwell as the hierarchy scheme from the constraint equation

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