回复arXiv:1212.3831v1“Comment on:Magnetotransport through graphene spin valves and its following works”by Y. Zhou和M.W.吴
Reply to arXiv:1212.3831v1 "Comment on: Magnetotransport through graphene spin valves and its following works" by Y. Zhou and M.W. Wu
摘要:
在他们的评论arXiv:1212.3831v1 Y. Zhou和M.W.吴声称,基本的输运方程与当前的传输函数,使用我们和事实上由许多其他研究人员,是无效的扩展系统,应该得到纠正。它们为扩展系统中的输运提供了一个“正确的”新公式。这确实是量子输运理论的一个令人惊讶的新方面。然而,在这里,我们从数学上证明了新公式是一种误解,它是由于增加了一个能量和动量相关的函数,而这个函数由于根本原因而必须消失。添加此功能所产生的结果和结论无关紧要。已知的量子输运公式在有据可查的条件下是一致的。
英文摘要:
In their comment arXiv:1212.3831v1 Y. Zhou and M.W. Wu claim that the fundamental transport equation relating the current to the transmission function, used by us and in fact by numerous other researchers, is invalid for extended systems and should be corrected. They provide a "correct" new formula for transport in extended systems. This would be indeed a surprising new aspect of quantum transport theory. Here we show mathematically, however, that the new formula is a misconception resulting from adding an energy and momentum dependent function that has to vanish due to fundamental reasons. Results and conclusions stemming from adding this function are irrelevant. The known established formulas for quantum transport are consistent with each others under the well-documented conditions.
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