Abstract:
A computer-aided simulation method for an atomic-resolution scanning Seebeck microscope (SSM) image is provided. In the computer-aided simulation method, a computer may calculate a local thermoelectric voltage for a position of a voltage probe, to acquire an SSM image corresponding to the position, using the following equation: V ( r ) = V diff + S coh ( r ) ∫ ∇ T ( r ; r ′ ) · r ′ - r r ′ - r 3 3 r ′ in which V(r) denotes the local thermoelectric voltage, Vdiff denotes a thermoelectric voltage drop in a diffusive transport region in a tip and a sample, Scoh(r) denotes a position-dependent Seebeck coefficient, r denotes a distance measured from a point voltage probe, r′ denotes material internal coordinates, ∇T(r;r′) denotes a temperature gradient radially weighted by a factor of 1/r2, and ∫ ∇ T ( r ; r ′ ) · r ′ - r r ′ - r 3 3 r ′ denotes a volume integral of a temperature profile.
Abstract translation:提供了原子分辨率扫描塞贝克显微镜(SSM)图像的计算机辅助仿真方法。 在计算机辅助模拟方法中,计算机可以计算电压探针位置的局部热电压,以使用以下等式来获取对应于该位置的SSM图像:V(r)= V diff + S coh 其中V(r)表示局部热电电压,Vdiff表示热电电压(r),r(r),r' Scoh(r)表示与位置相关的塞贝克系数,r表示从点电压探头测得的距离,r'表示材料内部坐标,∇T(r; r' )表示以因子1 / r2径向加权的温度梯度,并且∫∇T(r; r')·r'-rr'-r叁3r'表示a 温度曲线。
Abstract:
A computer-aided simulation method for an atomic-resolution scanning Seebeck microscope (SSM) image is provided. In the computer-aided simulation method, a computer may calculate a local thermoelectric voltage for a position of a voltage probe, to acquire an SSM image corresponding to the position, using the following equation: V ( r ) = V diff + S coh ( r ) ∫ ∇ T ( r ; r ′ ) · r ′ - r r ′ - r 3 3 r ′ in which V(r) denotes the local thermoelectric voltage, Vdiff denotes a thermoelectric voltage drop in a diffusive transport region in a tip and a sample, Scoh(r) denotes a position-dependent Seebeck coefficient, r denotes a distance measured from a point voltage probe, r′ denotes material internal coordinates, ∇T(r;r′) denotes a temperature gradient radially weighted by a factor of 1/r2, and ∫ ∇ T ( r ; r ′ ) · r ′ - r r ′ - r 3 3 r ′ denotes a volume integral of a temperature profile.
Abstract translation:提供了原子分辨率扫描塞贝克显微镜(SSM)图像的计算机辅助仿真方法。 在计算机辅助模拟方法中,计算机可以计算电压探针位置的局部热电压,以使用以下等式来获取对应于该位置的SSM图像:V(r)= V diff + S coh 其中V(r)表示局部热电电压,Vdiff表示热电电压(r),r(r),r' Scoh(r)表示与位置相关的塞贝克系数,r表示从点电压探头测得的距离,r'表示材料内部坐标,∇T(r; r' )表示以因子1 / r2径向加权的温度梯度,并且∫∇T(r; r')·r'-rr'-r叁3r'表示a 温度曲线。