2011/11/29 by Vladimir A. Zyuzin, Zyuzin, Vladimir A.
Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Surface and Thin Film Phenomena #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1111.6931
version for publication
openalex publication_date 2011/11/29 · arxiv created 2012/11/08 · arxiv updated 2012/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we propose a model of the fractional quantum Hall effect within conventional one-dimensional bosonization. It is shown that in this formalism the resulting bosonized fermion operator corresponding to momenta of Landau gauge wave function is effectively two-dimensional. At special filling factors the bulk gets gapped, and the theory is described by a sine-Gordon model. The edges are shown to be gapless, chiral, and carrying a fractional charge. The hierarchy of obtained fractional charges is consistent with existing experiments and theories. It is also possible to draw a connection to composite fermion description and to the Laughlin many-body wave function.