AI 中文总结
本研究针对硅烯等褶皱二维材料构建谷间磁激子理论框架，发现其质心与内部运动可分离，结合能随磁场、电场单调增加，且两自由度可通过外场独立调控。
AI 中文摘要
我们针对褶皱二维材料（包括硅烯、锗烯和锡烯）在垂直电场和磁场作用下的谷间磁激子构建了理论框架。在有效质量近似下，结合Rytova-Keldysh相互作用势构建了三体薛定谔方程，并在高磁场 regime 中进行分析。研究表明，电子和空穴有效质量相等的谷间激子是一种特殊情况，其质心运动和内部运动可精确分离。质心运动由二维简谐振子哈密顿量描述，产生量子化的朗道态，其能量形成由磁场和载流子有效质量的电场依赖性调控的电可调朗道表面。通过超球谐方法求解三体薛定谔方程，对内部运动进行研究。数值计算显示，由于磁约束和电场诱导的有效质量增强的共同作用，激子结合能随磁场和电场单调增加。硅烯的结合能最强，其次是锡烯和锗烯。本工作对Xene单分子层中磁激子的集体质心运动和内部动力学提供了统一描述，证明两个自由度均可通过外部电场和磁场独立调控。
英文摘要
We develop a theoretical framework for intervalley magnetotrions in buckled two-dimensional materials, including silicene, germanene, and stanene, subjected to perpendicular electric and magnetic fields. Within the effective-mass approximation, the three-particle Schrödinger equation is formulated with the Rytova--Keldysh interaction potential and analyzed in the high-magnetic-field regime. We demonstrate that intervalley trions with equal electron and hole effective masses constitute an exceptional case for which the center-of-mass and internal motions separate exactly. The center-of-mass motion is governed by a two-dimensional harmonic-oscillator Hamiltonian, leading to quantized Landau states whose energies form electrically tunable Landau surfaces controlled by the magnetic field and the electric-field dependence of the carrier effective masses. The internal motion is investigated by solving the three-body Schrödinger equation within the framework of the hyperspherical harmonics method. Numerical calculations reveal that the trion binding energy increases monotonically with both magnetic and electric fields owing to the combined effects of magnetic confinement and electric-field-induced enhancement of the effective masses. The strongest binding is obtained for silicene, followed by stanene and germanene. The present work provides a unified description of both the collective center-of-mass motion and the internal dynamics of magnetotrions in Xene monolayers, demonstrating that both degrees of freedom can be independently manipulated by external electric and magnetic fields.
Comments20 pages, 6 figures
