Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics
2014 (English)In: Annales de l'Institute Henri Poincare. Physique theorique, ISSN 1424-0637, E-ISSN 1424-0661, Vol. 15, no 6, 1061-1107 p.Article in journal (Refereed) PublishedText
In one and two spatial dimensions there is a logical possibility for identical quantum particles different from bosons and fermions, obeying intermediate or fractional (anyon) statistics. We consider applications of a recent Lieb–Thirring inequality for anyons in two dimensions, and derive new Lieb–Thirring inequalities for intermediate statistics in one dimension with implications for models of Lieb–Liniger and Calogero–Sutherland type. These inequalities follow from a local form of the exclusion principle valid for such generalized exchange statistics.
Place, publisher, year, edition, pages
Birkhauser Verlag , 2014. Vol. 15, no 6, 1061-1107 p.
Mathematical Analysis Condensed Matter Physics
Research subject Mathematics; Physics
IdentifiersURN: urn:nbn:se:kth:diva-179451DOI: 10.1007/s00023-013-0273-5ISI: 000335979500002ScopusID: 2-s2.0-84901228703OAI: oai:DiVA.org:kth-179451DiVA: diva2:883224
QC 201601192015-12-162015-12-162016-01-19Bibliographically approved