Rigorous analysis of the effects of electron–phonon interactions on magnetic properties in the one-electron Kondo lattice model

The Kondo lattice model (KLM) is a typical model describing heavy fermion systems. In this paper, we consider the interaction of phonons with the system described by the one-electron KLM. Magnetic properties of the ground state of this model are revealed in a rigorous form. Furthermore, we derive th...

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Bibliographic Details
Published in:Quantum Studies : Mathematics and Foundations 2023-02, Vol.10 (1), p.177-201
Main Authors: Miyao, Tadahiro, Nishimata, Kazuhiro, Tominaga, Hayato
Format: Article
Language:English
Subjects:
Electron phonon interactions
Fermions
Ground state
Heavy fermion systems
History and Philosophical Foundations of Physics
Magnetic properties
Mathematical and Computational Physics
Mathematical Physics
Mathematics
Mathematics and Statistics
Phonons
Quantum Physics
Regular Paper
Theoretical
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Summary:The Kondo lattice model (KLM) is a typical model describing heavy fermion systems. In this paper, we consider the interaction of phonons with the system described by the one-electron KLM. Magnetic properties of the ground state of this model are revealed in a rigorous form. Furthermore, we derive the effective Hamiltonian in the strong coupling limit ( J → ∞ ) for the strength of the spin-exchange interaction J ; we examine the magnetic properties of the ground state of the effective Hamiltonian and prove that the Aizenman–Lieb theorem concerning the magnetization holds for the effective Hamiltonian at finite temperatures. Generalizing the obtained results, we clarify a mechanism for the stability of magnetic properties of the ground state in the one-electron KLM system.
ISSN:2196-5609
2196-5617
DOI:10.1007/s40509-022-00288-8