Invariants of the single-impurity Anderson model and implications for conductance functionals
Invariants of the single-impurity Anderson model and implications for conductance functionals
复制标题
单杂质安德森模型的不变量及其对电导泛函的影响
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
P. Schmitteckert
中科院分区：
文献类型：
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作者：
F. Evers;P. Schmitteckert
在单杂质安德森模型的框架内，导出了零温度下电导最大值G 0与铅密度比之间的精确关系：其中和表示由于原点处杂质的存在而导致的左/右铅在距离x处的过量密度，x = 0。该关系构成了一个参数的自由表达的模型的电导的基态密度，概括了早期的结果的一般情况下，不对称的铅耦合。结果表明，密度比与杂质距离x、接触线的磁带结构和填充率、现场相互作用强度、栅压和温度无关。我们讨论了接触导线中的无序诱导后向散射对这一结果的影响。我们的结果表明，它应该是可能的，在原则上，通过执行基态密度的测量相结合的实验确定的安德森杂质的峰值电导。
An exact relation between the conductance maximum G0 at zero temperature and a ratio of lead densities is derived within the framework of the single-impurity Anderson model: , where and , denote the excess density in the left/right lead at distance x due to the presence of the impurity at the origin, x = 0. The relation constitutes a parameter-free expression of the conductance of the model in terms of the ground-state density that generalizes an earlier result to the generic case of asymmetric lead couplings. It turns out that the specific density ratio, , is independent of the distance to the impurity x, the (magnetic) band structure and filling fraction of the contacting wires, the strength of the onsite interaction, the gate voltage and the temperature. Disorder-induced backscattering in the contacting wires has an impact on that we discuss. Our result suggests that it should be possible, in principle, to determine experimentally the peak conductance of the Anderson impurity by performing a combination of measurements of ground-state densities.
影响因子：
38.3
作者：
Schmaus, Stefan;Bagrets, Alexei;Wulfhekel, Wulf
通讯作者：
Wulfhekel, Wulf