---
res:
bibo_abstract:
- "We consider the quantum ferromagnetic Heisenberg model in three dimensions, for
all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation
for the excitation spectrum, at the level of the first non-trivial contribution
to the free energy at low temperatures. Our proof comes with explicit, constructive
upper and lower bounds on the error term. It uses in an essential way the bosonic
formulation of the model in terms of the Holstein-Primakoff representation. In
this language, the model describes interacting bosons with a hard-core on-site
repulsion and a nearest-neighbor attraction. This attractive interaction makes
the lower bound on the free energy particularly tricky: the key idea there is
to prove a differential inequality for the two-particle density, which is thereby
shown to be smaller than the probability density of a suitably weighted two-particle
random process on the lattice.\r\n@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Michele
foaf_name: Correggi, Michele
foaf_surname: Correggi
- foaf_Person:
foaf_givenName: Alessandro
foaf_name: Giuliani, Alessandro
foaf_surname: Giuliani
- foaf_Person:
foaf_givenName: Robert
foaf_name: Seiringer, Robert
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6781-0521
bibo_doi: 10.1007/s00220-015-2402-0
bibo_issue: '1'
bibo_volume: 339
dct_date: 2015^xs_gYear
dct_language: eng
dct_publisher: Springer@
dct_title: Validity of the spin-wave approximation for the free energy of the Heisenberg
ferromagnet@
...