Kumagai Takuya, Tamura Akira
Faculty of Materials Science, Graduate School, Saitama Institute of Technology, 1690 Fusaiji, Fukaya City, 369-0293 Saitama, Japan.
J Phys Condens Matter. 2009 Jun 3;21(22):225004. doi: 10.1088/0953-8984/21/22/225004. Epub 2009 Apr 22.
We obtained the scanning tunneling spectrum (STS) of an electron confined in a rectangular quantum corral by considering the electron to be in a quasi-stationary state. Because of non-hermiticity of the Hamiltonian, the electron has a complex eigenenergy. The imaginary part gives the peak width coming mainly from the electron tunneling through a corral barrier. Our STS is consistent with the experimental spectrum that had been measured for electrons confined in a rectangular quantum corral. We obtained peak widths against energy levels and components of the STS which are constructed with quasi-stationary eigenstates. It is shown that normalization of a wavefunction by considering its time evolution is decisive in obtaining the proper STS. Moreover, we specified the position dependence of STS in relation to the image of the surface local density of states.
通过将电子视为处于准稳态，我们获得了限制在矩形量子围栏中的电子的扫描隧道谱（STS）。由于哈密顿量的非厄米性，电子具有复本征能量。虚部给出了主要源于电子隧穿通过围栏势垒的峰宽。我们的 STS 与针对限制在矩形量子围栏中的电子所测量的实验谱一致。我们获得了相对于能级以及由准稳态本征态构建的 STS 分量的峰宽。结果表明，通过考虑波函数的时间演化对其进行归一化对于获得合适的 STS 起着决定性作用。此外，我们根据表面局域态密度的图像确定了 STS 的位置依赖性。
