AI 中文总结
该研究以单层Ca$_2$N为典型体系，通过计算朗道能级光谱，研究二维电子化合物中间隙阴离子电子的磁场响应，发现其具有类自由电子特性，且能量色散对交换关联泛函选择不敏感，为相关研究提供了新见解。
AI 中文摘要
我们以单层Ca$_2$N作为典型体系，研究二维电子化合物中间隙阴离子电子（IAEs）的磁场响应。通过计算形成费米面的电子能带的朗道能级（LL）光谱，发现LL随磁场呈线性演化，类似于近自由二维电子气（2DEG）的行为。提取的回旋有效质量和朗德g因子与自由电子值有适度偏差，表明IAEs保留了显著的类自由电子特性。此外，电子能带的能量色散对交换关联泛函的选择不敏感。这些发现为电子化合物的量子性质提供了基本见解，并为探索低维间隙电子系统中的磁约束、关联效应和新兴量子现象开辟了新途径。
英文摘要
We investigate the magnetic-field response of interstitial anionic electrons (IAEs) in two-dimensional electrides, using monolayer Ca$_2$N as a prototypical system. By computing the Landau-level (LL) spectrum of the electride bands forming the Fermi surface, we find a linear LL evolution with magnetic field that closely resembles the behavior of a nearly-free 2D electron gas (2DEG). The extracted cyclotron effective mass and Landé g-factor deviate moderately from their free-electron values, indicating that the IAEs retain a remarkably free-electron-like character. Furthermore, the energy dispersion of the electride bands remains insensitive to the choice of exchange-correlation functional (LDA vs.~PBEsol), indicating that local exchange and correlation effects have minimal influence on the IAEs. Overall, our findings provide fundamental insight into the quantum nature of electrides and open new avenues for exploring magnetic confinement, correlation effects, and emergent quantum phenomena in low-dimensional interstitial electronic systems.
