发表机构
National University of Science and Technology MISIS; L.D. Landau Institute for Theoretical Physics, RAS; Dukhov Research Institute of Automatics (VNIIA); National Research University Higher School of Economics（国立科技大学MISIS; 朗道理论物理研究所，俄罗斯科学院; 杜霍夫自动仪器科学研究院（VNIIA）; 国立高等经济大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对磁场中边缘周期性形变的二维拓扑绝缘体，分析其螺旋边缘态的输运特性，发现能隙调制会产生以磁场为周期的可观测电导振荡，且建立了对应的半经典处理方法并验证了其正确性。
AI 中文摘要
我们研究了处于均匀磁场中的边缘周期性形变的二维拓扑绝缘体的边缘态输运。塞曼耦合破坏了时间反演对称性，引发弹性背散射，产生禁带宽度的振荡。在强场 regime 下，能隙会在离散磁场值处完全闭合；在弱场 regime 下，我们确定了一类重要的周期性形变，其主导的半经典散射由复无穷远而非最近的转折点控制。我们开发了该过程的半经典处理方法，证实其与微扰理论及直接数值计算结果一致。该能隙调制应会产生可观测的边缘电导振荡。与常规的逆磁场周期的磁量子振荡不同，预测的振荡以磁场本身为周期，周期由费米速度和有效g因子决定。
英文摘要
We study edge-state transport in a two-dimensional topological insulator with a periodically deformed edge subjected to a uniform magnetic field. Zeeman coupling breaks time-reversal symmetry and enables elastic backscattering, producing oscillations of the forbidden-band widths. In the strong-field regime, the gaps can close completely at discrete field values. In the weak-field regime, we identify an important class of periodic deformations for which the dominant semiclassical scattering is controlled by complex infinity rather than by the nearest turning points. We develop a semiclassical treatment of this process and establish its agreement with perturbation theory and direct numerical calculations. The gap modulation should produce observable oscillations of the edge conductance. Unlike conventional magnetic quantum oscillations, which are periodic in inverse field, the predicted oscillations are periodic in the magnetic field itself, with a period determined by the Fermi velocity and effective g-factor
Comments35 pages, 21 figures
