--- _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' ...