评“相互作用系统霍尔电导率的基本公式”
Comment on "Elementary formula for the Hall conductivity of interacting systems"
摘要:
在Neupert、Santos、Chamon和Mudry [Phys.Rev.B86,165133(2012)]的最近论文中,声称存在分数Chern绝缘体的霍尔电导率的基本公式。我们表明,所提出的公式一般不能是正确的,我们建议的错误的一个可能的来源。我们的推理可以推广到表明,没有一个量(如霍尔电导率)预计是恒定的整个相位的物质可能是作为任何时间无关的短程算子的期望。
英文摘要:
In a recent paper by Neupert, Santos, Chamon, and Mudry [Phys. Rev. B 86, 165133 (2012)] it is claimed that there is an elementary formula for the Hall conductivity of fractional Chern insulators. We show that the proposed formula cannot generally be correct, and we suggest one possible source of the error. Our reasoning can be generalized to show no quantity (such as Hall conductivity) expected to be constant throughout an entire phase of matter can possibly be given as the expectation of any time independent short ranged operator.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。