Four-Particle Anyon Exciton: Boson Approximation

M. E. Portnoi; E. I. Rashba

doi:10.1142/s0217984995000139

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arXiv · cond-mat/9502071

Four-Particle Anyon Exciton: Boson Approximation

M. E. Portnoi·E. I. Rashba

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Abstract

A theory of anyon excitons consisting of a valence hole and three quasielectrons with electric charges $(-e/3)$ is presented. A full symmetry classification of the $k=0$ states is given, where $k$ is the exciton momentum. The energy levels of these states are expressed by quadratures of confluent hypergeometric functions. It is shown that the angular momentum $L$ of the exciton ground state depends on the distance between electron and hole confinement planes and takes the values $L=3n$, where $n$ is an integer. With increasing $k$ the electron density shows a spectacular splitting on bundles. At first a single anyon splits off of the two-anyon core, and finally all anyons become separated.

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M. E. Portnoi, E. I. Rashba. 1995-02-17. Four-Particle Anyon Exciton: Boson Approximation. https://doi.org/10.1142/s0217984995000139

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