Local exclusion principle for identical particles obeying intermediate and fractional statistics
2013 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 88, no 6, 062106- p.Article in journal (Refereed) Published
A local exclusion principle is observed for identical particles obeying intermediate and fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type and implies a nontrivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.
Place, publisher, year, edition, pages
2013. Vol. 88, no 6, 062106- p.
anyons, intermediate and fractional statistics, energy bounds, Lieb-Thirring inequalities, many-body quantum mechanics
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:kth:diva-138837DOI: 10.1103/PhysRevA.88.062106ISI: 000328674600004ScopusID: 2-s2.0-84891691913OAI: oai:DiVA.org:kth-138837DiVA: diva2:681820
FunderEU, European Research Council, 321029
QC 201401212013-12-202013-12-202014-02-04Bibliographically approved