论文标题
对单电子近节晶格模型中电子波相互作用对磁性特性的影响的严格分析
Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model
论文作者
论文摘要
Kondo Grattice模型（KLM）是描述重型费米昂系统的典型模型。在本文中，我们考虑了声子与单电子KLM描述的系统的相互作用。该模型基态的磁性特性以严格的形式揭示。此外，我们以强耦合极限（$ j \ to \ infty $）得出有效的哈密顿量，以实现自旋交流$ j $的强度；我们检查了有效哈密顿量的基态的磁性特性，并证明了有关磁化磁化强度的aizenman-lieb定理在有限温度下具有有效的哈密顿量。概括了获得的结果，我们阐明了一种机制，即单电子KLM系统中基态磁性的稳定性。
The Kondo lattice model (KLM) is a typical model describing heavy fermion systems. In this paper, we consider the interaction of phonons with the system described by the one-electron KLM. Magnetic properties of the ground state of this model are revealed in a rigorous form. Furthermore, we derive the effective Hamiltonian in the strong coupling limit ($J\to \infty$) 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.
