Abstract

Exact eigenstates for a set of two or more interacting electronic orbits in a magnetic field are studied for a class of factorized Hamiltonians with coupled Fermi surfaces. We study the condition for the existence of annihilation-creation operators that allows for the construction of eigenstates. For the case of two interacting cyclotronic orbits, we consider the oscillations of the overlap function and the transfer of charge density between the orbits as function of the inverse field. The expressions of the Fourier frequencies are given in the semiclassical regime and they depend on the geometrical structure of the electronic bands. A generalization of this construction is provided for a chain of several interacting orbits with exact eigenfunctions.

中文翻译：

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相互作用磁轨道的简单模型中的电荷振荡

摘要

针对一类具有耦合费米表面的分解哈密顿量，研究了磁场中一组两个或多个相互作用的电子轨道的精确本征态。我们研究了an灭创造算子存在的条件，该条件允许构造本征态。对于两个相互作用的回旋轨道，我们将交叠函数的振荡和轨道之间电荷密度的转移视为反场的函数。傅立叶频率的表达式是在半经典状态下给出的，它们取决于电子带的几何结构。对于具有精确特征函数的几个相互作用的轨道链提供了这种构造的概括。