用带电探针技术对谐振腔局域态密度成像的模拟
Simulations of imaging of the local density of states by charged probe technique for resonant cavities
摘要：
我们模拟了共振腔中费米能级波函数的局域态密度的扫描探针成像。我们计算潜在的景观考虑到库仑电荷的探针和它的屏蔽的二维电子气的变形，使用局域密度近似腔。近似的尖端电位的洛伦兹函数进行了讨论。用有限差分法求解了电子转移问题。我们寻找稳定的工作点，从电导图的局部态密度的提取。我们发现当费米能级与局域态进入Fano共振时，电导图与局域态密度高度相关。一般来说，在共振外，局域态密度和电导图之间的相关性很低。
英文摘要：
We simulate scanning probe imaging of the local density of states related to scattering Fermi level wave functions inside a resonant cavity. We calculate potential landscape within the cavity taking into account the Coulomb charge of the probe and its screening by deformation of the two-dimensional electron gas using the local density approximation. Approximation of the tip potential by a Lorentz function is discussed. The electron transfer problem is solved with a finite difference approach. We look for stable work points for the extraction of the local density of states from conductance maps. We find that conductance maps are highly correlated with the local density of states when the Fermi energy level enters into Fano resonance with states localized within the cavity. Generally outside resonances the correlation between the local density of states and conductance maps is low.
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