Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Fermionic behavior of ideal anyons
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3456-5846
IST Austria, Campus 1, A-3400 Klosterneuburg, Austria..
2018 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 108, no 11, p. 2523-2541Article in journal (Refereed) Published
Abstract [en]

We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter alpha. The lower bounds extend to Lieb-Thirring inequalities for all anyons except bosons.

Place, publisher, year, edition, pages
Springer, 2018. Vol. 108, no 11, p. 2523-2541
Keywords [en]
Intermediate quantum statistics, Magnetic interaction, Ideal anyon gas, Lieb-Thirring inequality
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-237086DOI: 10.1007/s11005-018-1091-yISI: 000446491500008Scopus ID: 2-s2.0-85046717412OAI: oai:DiVA.org:kth-237086DiVA, id: diva2:1258198
Funder
Swedish Research Council, 2013-4734EU, Horizon 2020, 694227
Note

QC 20181022

Available from: 2018-10-24 Created: 2018-10-24 Last updated: 2018-10-24Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Lundholm, Douglas

Search in DiVA

By author/editor
Lundholm, Douglas
By organisation
Mathematics (Div.)
In the same journal
Letters in Mathematical Physics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 10 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf