Repulsion in Low Temperature β-Ensembles

Research output: Contribution to journalArticle

Abstract

We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature (Formula presented.) satisfies (Formula presented.). For large (Formula presented.), separation is obtained at the same scale as the conjectural Abrikosov lattice optimal separation.

Details

Authors
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Other Physics Topics
  • Mathematics
Original languageEnglish
Pages (from-to)1079-1089
JournalCommunications in Mathematical Physics
Volume359
Issue number3
Early online date2017 Nov 11
Publication statusPublished - 2018
Publication categoryResearch
Peer-reviewedYes