Thermal Stability of the Nagaoka–Thouless Theorems

Miyao, Tadahiro

doi:10.1007/s00023-020-00968-4

Search citation statements

Order By: Relevance

Paper Sections

Select...

Equivalence With the Nagaoka-thouless System1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2022

Publication Types

Select...

Other2

Article1

Relationship

Self Cite1

Independent2

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, the following theorem is proved in [15]: Using these theorems with Proposition 5.2, we can prove Theorems 1.7 and 1.9.…”

Section: Equivalence With the Nagaoka-thouless Systemmentioning

confidence: 94%

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

Miyao¹,

Kazuhiro²,

Tominaga³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…On the other hand, the following theorem is proved in [15]: Using these theorems with Proposition 5.2, we can prove Theorems 1.7 and 1.9.…”

Section: Equivalence With the Nagaoka-thouless Systemmentioning

confidence: 94%