Existence of Long-Range Order in One and Two Dimensions

19672,327 citationsJournal Article

Authors

Abstract

It is pointed out that a rigorous inequality first proved by Bogoliubov may be used to rule out the existence of quasi-averages (or long-range order) in Bose and Fermi systems for one and two dimensions and $T\ensuremath{\ne}0$.

Topics & Keywords

Physics of Superconductivity and Magnetism Spectral Theory in Mathematical Physics Cold Atom Physics and Bose-Einstein Condensates

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Physical Review

Volume 158, Issue 2, pp. 383-386

DOI: 10.1103/physrev.158.383

Field-Weighted Citation Impact: 11.26