English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Elementary excitations of incompressible quantum liquids (IQL's) are anyons,i.e., quasiparticles carrying fractional charges and obeying fractionalstatistics. To find out how the properties of these quasiparticles manifestthemselves in the optical spectra, we have developed the anyon exciton model(AEM) and compared the results with the finite-size data for excitons of nu=1/3and nu=2/3 IQL's. The model considers an exciton as a neutral compositeconsisting of three quasielectrons and a single hole. The AEM works well whenthe separation between electron and hole confinement planes, h, is larger thanthe magnetic length l. In the framework of the AEM an exciton possessesmomentum k and two internal quantum numbers, one of which can be chosen as theangular momentum, L, of the k=0 state. Existence of the internal degrees offreedom results in the multiple branch energy spectrum, crater-like electrondensity shape and 120 degrees density correlations for k=0 excitons, and thesplitting of the electron shell into bunches for non-zero k excitons. For hlarger than 2l the bottom states obey the superselection rule L=3m (m areintegers starting from 2), all of them are hard core states. For h nearly 2lthere is one-to-one correspondence between the low-energy spectra found for theAEM and the many- electron exciton spectra of the nu=2/3 IQL, whereas somestates are absent from the many-electron spectra of the nu=1/3 IQL. We arguethat this striking difference in the spectra originates from the differentpopulational statistics of the quasielectrons of charge conjugate IQL's andshow that the proper account of the statistical requirements eliminatesexcessive states from the spectrum. Apparently, this phenomenon is the firstmanifestation of the exclusion statistics in the anyon bound states.Comment: 26 pages with 9 figures, typos correcte

Theory of anyon excitons: Relation to excitons of ν=1/3 and ν=2/3 incompressible liquids