Björnberg, Jakob E., Fröhlich, Jürg and Ueltschi, Daniel (2020) Quantum spins and random loops on the complete graph. Communications in Mathematical Physics, 375 (3). pp. 1629-1663. doi:10.1007/s00220-019-03634-x

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Abstract

We present a systematic analysis of quantum Heisenberg-, XY- and interchange models on the complete graph. These models exhibit phase transitions accompanied by spontaneous symmetry breaking, which we study by calculating the generating function of expectations of powers of the averaged spin density. Various critical exponents are determined. Certain objects of the associated loop models are shown to have properties of Poisson–Dirichlet distributions.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Quantum theory, Angular momentum, Heisenberg uncertainty principle
Journal or Publication Title:	Communications in Mathematical Physics
Publisher:	Springer
ISSN:	0010-3616
Official Date:	May 2020
Dates:	Date Event May 2020 Published 27 November 2020 Available 7 October 2019 Accepted
Volume:	375
Number:	3
Page Range:	pp. 1629-1663
DOI:	10.1007/s00220-019-03634-x
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID UNSPECIFIED Göteborgs universitet http://viaf.org/viaf/140125343 Simons–CRM scholar-in-residence Simons Foundation http://dx.doi.org/10.13039/100000893 2015-05195 Vetenskapsrådet http://dx.doi.org/10.13039/501100004359

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