Nagaoka’s Theorem in the Holstein–Hubbard Model

Nagaoka’s theorem on ferromagnetism in the Hubbard model is extended to the Holstein–Hubbard model. This shows that Nagaoka’s ferromagnetism is stable even if the electron–phonon interaction is taken into account. We also prove that Nagaoka’s ferromagnetism is stable under the influence of the quant...

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Bibliographic Details
Published in:Annales Henri Poincaré 2017-09, Vol.18 (9), p.2849-2871
Main Author: Miyao, Tadahiro
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Ferromagnetism
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Theorems
Theoretical
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Summary:Nagaoka’s theorem on ferromagnetism in the Hubbard model is extended to the Holstein–Hubbard model. This shows that Nagaoka’s ferromagnetism is stable even if the electron–phonon interaction is taken into account. We also prove that Nagaoka’s ferromagnetism is stable under the influence of the quantized radiation field.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-017-0584-z