arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1109.5656cond-mat.mes-hallnlin.CDnucl-th
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开放量子点中的电导峰

Conductance peaks in open quantum dots

J. G. G. S. Ramos, D. Bazeia, M. S. Hussein, C. H. Lewenkopf

摘要:

提出了一种简单的测量开放弹道混沌量子点电导涨落的方法,扩展了最初提出的用于复合核反应统计分析的极大值数方法.无量纲电导$T$中极值点(最大值和最小值)的平均数作为任意外部参数$Z$的函数,与$T(Z)$的自相关函数直接相关。参数$Z$可以与引起量子点中的形状变形的所施加的栅极电压、外部磁场、费米能量等相关联。发现最大值的平均密度为$<ρ_{Z}> = α_{Z}/Z_c$,其中$α_{Z}$是普适常数,$Z_c$是电导自相关长度,其是系统特定的。$<ρ_{Z}>$的分析不需要大的统计样本,提供了一种非常适合的方式来访问有关参数相关性的信息,例如$Z_c$。

英文摘要:

We present a simple measure of the conductance fluctuations in open ballistic chaotic quantum dots, extending the number of maxima method originally proposed for the statistical analysis of compound nuclear reactions. The average number of extreme points (maxima and minima) in the dimensionless conductance, $T$, as a function of an arbitrary external parameter $Z$, is directly related to the autocorrelation function of $T(Z)$. The parameter $Z$ can be associated to an applied gate voltage causing shape deformation in quantum dot, an external magnetic field, the Fermi energy, etc.. The average density of maxima is found to be $<ρ_{Z}> = α_{Z}/Z_c$, where $α_{Z}$ is a universal constant and $Z_c$ is the conductance autocorrelation length, which is system specific. The analysis of $<ρ_{Z}>$ does not require large statistic samples, providing a quite amenable way to access information about parametric correlations, such as $Z_c$.

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。

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