基于算符的体四极矩公式化的困难
Difficulties in operator-based formulation of the bulk quadrupole moment
摘要：
电多极矩是绝缘材料最基本的性质。然而，体多极子的一般表述一直是一个长期存在的问题。几十年前，金-史密斯、范德比尔特和雷斯塔提出了电偶极矩的解。最近，有人试图将雷斯塔公式推广到高阶多极子。我们指出了最近提案中的几个问题。
英文摘要：
Electric multipole moments are the most fundamental properties of insulating materials. However, the general formulation of bulk multipoles has been a long standing problem. The solution for the electric dipole moment was provided decades ago by King-Smith, Vanderbilt, and Resta. Recently, there have been attempts at generalizing Resta's formula to higher-order multipoles. We point out several issues in the recent proposals.
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