强短程散射体限制的二维电荷输运：超越抛物型色散和玻恩近似
Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation
摘要：
研究了二维非抛物色散系统中载流子的电导率，色散方程为$k^N$，其中$N$为任意自然数.一个三角形的散射势被假定为主要来源的障碍。我们采用李普曼-施温格方程的精确解推导出一个分析玻尔兹曼电导率公式适用于任意散射势强度。我们的分析结果的适用范围进行了评估的数值研究的基础上，有限大小的久保公式。我们发现，对于任何$N>1$，电导率表现出一个线性的载流子浓度在一个强的散射势强度的限制。这一发现与最近在手性堆叠的多层石墨烯上进行的电导率测量一致，其中最低的两个带是非抛物线的，并且吸附的烃可能充当强短程散射体。
英文摘要：
We investigate the conductivity of charge carriers confined to a two-dimensional system with the non-parabolic dispersion $k^N$ with $N$ being an arbitrary natural number. A delta-shaped scattering potential is assumed as the major source of disorder. We employ the exact solution of the Lippmann-Schwinger equation to derive an analytical Boltzmann conductivity formula valid for an arbitrary scattering potential strength. The range of applicability of our analytical results is assessed by a numerical study based on the finite size Kubo formula. We find that for any $N>1$, the conductivity demonstrates a linear dependence on the carrier concentration in the limit of a strong scattering potential strength. This finding agrees with the conductivity measurements performed recently on chirally stacked multilayer graphene where the lowest two bands are non-parabolic and the adsorbed hydrocarbons might act as strong short-range scatterers.
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