论文标题
边缘状态波函数从持有动量的隧道光谱
Edge State Wave Functions from Momentum-Conserving Tunneling Spectroscopy
论文作者
论文摘要
我们使用GAAS裂解边缘过度生长的量子线来研究相邻的量子霍尔边缘状态。我们使用及其独特的波函数的最低五线模式来探测每个边缘状态并应用磁场以修改波函数及其重叠。这揭示了一个复杂而丰富的隧道电导粉丝结构,对于每种电线模式都具有简洁的不同。我们自言自语地解决了泊松 - 雪花方程,以模拟光谱法,从而详细地重现了引人注目的风扇,从而确认了计算。此外,该模型预测了电线状态和兰道水平之间的杂交,这也可以通过实验确认。这确立了控制动量的隧道光谱,作为探测边缘态波函数的强大技术。
We perform momentum-conserving tunneling spectroscopy using a GaAs cleaved-edge overgrowth quantum wire to investigate adjacent quantum Hall edge states. We use the lowest five wire modes with their distinct wave functions to probe each edge state and apply magnetic fields to modify the wave functions and their overlap. This reveals an intricate and rich tunneling conductance fan structure which is succinctly different for each of the wire modes. We self-consistently solve the Poisson-Schrödinger equations to simulate the spectroscopy, reproducing the striking fans in great detail, thus confirming the calculations. Further, the model predicts hybridization between wire states and Landau levels, which is also confirmed experimentally. This establishes momentum-conserving tunneling spectroscopy as a powerful technique to probe edge state wave functions.