提取矩形样品中的完整电导率张量
Extracting the full conductivity tensor in a rectangular sample
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中文总结 AI 辅助
针对矩形样品电导率张量提取的现有方法存在不足，研究人员提出基于共形映射的实验流程，结合COMSOL模拟与叠加原理，可提取含主轴角度的完整电导率张量。
中文摘要 AI 辅助
电输运测量显示，许多二维材料表现出各向异性电导率。然而，当前针对矩形几何的方法只能提取部分电导率张量，或在实验中难以执行。在此，我们提出一种简单的实验流程，可提取包含主轴角度在内的完整电导率张量（或通过逆变换得到电阻率张量）。该流程通过共形映射方法推导得到了周边存在点源与点漏时的电势解析表达式，其结果与COMSOL数值模拟及主轴角度为零的已知极限情况高度吻合，有限大小的源/漏可通过叠加原理建模。
英文摘要
Electrical transport measurements reveal that many 2D materials exhibit anisotropic conductivity. However, current methodologies for rectangular geometries can only extract a partial conductivity tensor or are difficult to execute experimentally. Here, we propose a simple experimental procedure to extract the full conductivity tensor (or the resistivity tensor by inversion) including the principal axes angle. Our procedure is developed by using a conformal mapping approach to obtain an analytical expression for the potential with a point source and drain on the perimeter. Our solution agrees very well with numerical simulations using COMSOL and the known limiting case where the principal axes angle vanishes. Finite source/drains can be modeled using superposition.
