发表机构
Departamento de Ciencias Básicas, UAM-Azcapotzalco（阿兹卡波察尔科自治大学基础科学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文分析了磁场下朗道能级的能量参考，证明费米能级和底部能量在磁场变化时固定，底部能量由系统依赖的场B1决定，为展示能级相对运动提供了简洁方法。
AI 中文摘要
我们对能量参考以及朗道能级中依赖磁场和依赖系统的特征进行了简单分析。在描述朗道量子化时，所使用的能量参考通常被视为给定值，电子系统与耦合库的费米能级在热平衡下对齐。然而，朗道能级谱对磁场的依赖性可能使这些能量参考之间的关系变得不那么透明。在本工作中，我们表明，当施加磁场并建立受限朗道能级$E_n$时，费米能级$E_F$和底部能量$E_0$在磁场变化时保持固定。我们证明底部能量$E_0$与$B$无关，并由一个依赖系统的场$B_1$决定，该场由第一朗道能级等于费米能量的条件定义。相比之下，抛物势阱的最小值明确依赖于磁场。所得图像提供了一种简单的方式来展示朗道能级与固定费米能级的相对运动，而无需引入依赖磁场的能量零点。
英文摘要
We present a simple analysis of the energy references and of the magnetic-field-dependent and system-dependent features of the Landau energy levels. The energy reference used in describing Landau quantization is usually taken as given, with the Fermi levels of the electron system and the coupled reservoir aligned in thermal equilibrium. Nevertheless, the dependence of the Landau-level spectrum on magnetic field can make the relation between these energy references less transparent. In this work, we show that when a magnetic field is applied and the confined Landau levels $E_n$ are established, both the Fermi level $E_F$ and the bottom energy $E_0$ remain fixed when the magnetic field varies. We show that the bottom energy $E_0$ is independent of $B$, and determined by a system-dependent field $B_1$, defined by the condition that the first Landau level equals the Fermi energy. In contrast, the minimum of the parabolic well depends explicitly on the magnetic field. The resulting picture provides a simple way of displaying the relative motion of the Landau levels and the fixed Fermi level without introducing a magnetic-field-dependent energy zero.
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