Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model
Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model
复制标题
严格分析单电子近藤晶格模型中电子-声子相互作用对磁性能的影响
DOI：
10.1007/s40509-022-00288-8
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Tominaga Hayato
中科院分区：
文献类型：
--
作者：
Miyao Tadahiro;Nishimata Kazuhiro;Tominaga Hayato
近藤格点模型（KLM）是描述重费米子系统的典型模型。本文考虑声子与单电子KLM模型描述的系统的相互作用。以严格的形式揭示了该模型基态的磁性。此外，我们推导了自旋交换相互作用强度J的强耦合极限（）下的有效汉密尔顿量;我们检查了有效汉密尔顿量基态的磁性，并证明了关于磁化强度的Aizenman-Lieb定理对于有限温度下的有效汉密尔顿量成立。推广所得到的结果，我们澄清了单电子KLM系统的基态磁性质的稳定性的机制。
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 () for the strength of the spin-exchange interactionJ; 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.