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Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model
| Title: | Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model |
| Authors: | Miyao, Tadahiro Browse this author | | Nishimata, Kazuhiro Browse this author | | Tominaga, Hayato Browse this author |
| Keywords: | Ground states | | Electron-phonon interactions | | Nagaoka-Thouless' theorem | | Kondo lattice model |
| Issue Date: | Feb-2023 |
| Publisher: | Springer |
| Journal Title: | Quantum Studies-Mathematics and Foundations |
| Volume: | 10 |
| Issue: | 1 |
| Start Page: | 177 |
| End Page: | 201 |
| Publisher DOI: | 10.1007/s40509-022-00288-8 |
| Abstract: | 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 -> infinity) 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. |
| Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40509-022-00288-8 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/91106 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 宮尾 忠宏
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