---
_id: '2029'
abstract:
- lang: eng
text: Spin-wave theory is a key ingredient in our comprehension of quantum spin
systems, and is used successfully for understanding a wide range of magnetic phenomena,
including magnon condensation and stability of patterns in dipolar systems. Nevertheless,
several decades of research failed to establish the validity of spin-wave theory
rigorously, even for the simplest models of quantum spins. A rigorous justification
of the method for the three-dimensional quantum Heisenberg ferromagnet at low
temperatures is presented here. We derive sharp bounds on its free energy by combining
a bosonic formulation of the model introduced by Holstein and Primakoff with probabilistic
estimates and operator inequalities.
acknowledgement: 239694; ERC; European Research Council
article_number: '20003'
author:
- first_name: Michele
full_name: Correggi, Michele
last_name: Correggi
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum
Heisenberg model. EPL. 2014;108(2). doi:10.1209/0295-5075/108/20003
apa: Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave
theory for the quantum Heisenberg model. EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/108/20003
chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity
of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing
Ltd., 2014. https://doi.org/10.1209/0295-5075/108/20003.
ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory
for the quantum Heisenberg model,” EPL, vol. 108, no. 2. IOP Publishing
Ltd., 2014.
ista: Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for
the quantum Heisenberg model. EPL. 108(2), 20003.
mla: Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg
Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003.
short: M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
date_created: 2018-12-11T11:55:18Z
date_published: 2014-10-13T00:00:00Z
date_updated: 2021-01-12T06:54:50Z
day: '13'
department:
- _id: RoSe
doi: 10.1209/0295-5075/108/20003
intvolume: ' 108'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.4717
month: '10'
oa: 1
oa_version: Submitted Version
publication: EPL
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5044'
quality_controlled: '1'
scopus_import: 1
status: public
title: Validity of spin-wave theory for the quantum Heisenberg model
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2014'
...