We study the Landau level (LL) structure and magneto-optical responses in the Weyl semimetal (WSM) quantum well in the presence of a non-uniform magnetic field (NUMF). The number of LLs in the NUMF is found to be finite, and the LL structure of the system is significantly affected by the inhomogeneity of the magnetic field. The added electric field significantly affects the separation of the two Weyl nodes in momentum space. We investigate the role of the inhomogeneity of the magnetic field, temperature, electron density, and electric field, as well as the doping level on the optical response properties. Both longitudinal and Hall susceptibilities in the $(x,y)$ plane and the longitudinal susceptibility in the $z$ direction display a series of peaks whose height and spacing decrease with the increase of the LL index. At $T\ne 0$, thermal excitation triggers new transitions, which are forbidden by the Pauli blocked at $T=0$. The optical response spectra are different when the chemical potential lies in different energy regions, which are strongly dependent on the inhomogeneity of the magnetic field, electron density, and electric field. In this paper, we provide a possible way to control the optical response spectrum in WSM materials by changing these parameters.

中文翻译：

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非均匀磁场中外尔半金属量子阱的朗道能级和磁光响应

我们研究了在非均匀磁场 (NUMF) 存在下外尔半金属 (WSM) 量子阱中的朗道能级 (LL) 结构和磁光响应。发现 NUMF 中 LL 的数量是有限的，并且系统的 LL 结构受到磁场不均匀性的显着影响。添加的电场显着影响动量空间中两个外尔节点的分离。我们研究了磁场、温度、电子密度和电场的不均匀性以及掺杂水平对光学响应特性的影响。纵向和霍尔磁化率$(X,\mathrm{是的})$平面和纵向磁化率$z$方向显示一系列峰，其高度和间距随着 LL 指数的增加而减小。在$吨\ne 0$, 热激发触发了新的跃迁，这些跃迁被泡利阻止在$吨=0$. 当化学势位于不同的能量区域时，光学响应光谱是不同的，这在很大程度上取决于磁场、电子密度和电场的不均匀性。在本文中，我们提供了一种通过改变这些参数来控制 WSM 材料中的光学响应光谱的可能方法。