几何阻挫巡回电子系统的电导
Conductance through geometrically frustrated itinerant electronic systems
摘要：
本文研究了一个通过AB $_2$环的二端电子电导，该环是一类巡游几何阻挫电子系统的一个例子。这些系统的特点是存在的局域态与节点的概率密度。我们表明，这种状态导致不同的功能在电导。对于零磁通量，如果接触点有跳到非局域态节点的概率，则局域态充当零频率电导峰的滤波器。对于有限通量，并在一个选定的正交基，局域化状态的扩展范围从两个单位细胞的完整的环，除了非常特殊的值的磁通量。电导表现出零频率峰值与下降，这是一个独特的指纹的可变扩展这些本地化的状态。
英文摘要：
We study a two terminal electronic conductance through an AB$_2$ ring which is an example of the family of itinerant geometrically frustrated electronic systems. These systems are characterized by the existence of localized states with nodes in the probability density. We show that such states lead to distinct features in the conductance. For zero magnetic flux, the localized states act as a filter of the zero frequency conductance peak, if the contact sites have hopping probability to sites which are not nodes of the localized states. For finite flux, and in a chosen orthonormal basis, the localized states have extensions ranging from two unit cells to the complete ring, except for very particular values of magnetic flux. The conductance exhibits a zero frequency peak with a dip which is a distinct fingerprint of the variable extension of these localized states.
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