Electron–phonon interaction in Kondo lattice systems

We study ground state properties of the Kondo lattice model with an electron–phonon interaction. The ground state is proved to be unique; in addition, the total spin of the ground state is determined according to the lattice structure. To prove the assertions, an extension of the method of spin refl...

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Bibliographic Details
Published in:Annals of physics 2021-06, Vol.429, p.168467, Article 168467
Main Authors: Miyao, Tadahiro, Tominaga, Hayato
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELECTRONS
GROUND STATES
PHONONS
REFLECTION
SPIN
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Summary:We study ground state properties of the Kondo lattice model with an electron–phonon interaction. The ground state is proved to be unique; in addition, the total spin of the ground state is determined according to the lattice structure. To prove the assertions, an extension of the method of spin reflection positivity is given in terms of order preserving operator inequalities. •Rigorous study of ground state properties of the Kondo lattice model with an electron–phonon.•The ground state is proved to be unique.•The total spin of the ground state is determined according to the lattice structure.•Novel applications of order preserving operator inequalities.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2021.168467