论文标题

相互作用电子在一维谐波电位中的智能定位

The Wigner localization of interacting electrons in a one-dimensional harmonic potential

论文作者

Telleria-Allika, Xabier, Azor, Miguel Escobar, François, Grégoire, Bendazzoli, Gian Luigi, Matxain, Jon M., Lopez, Xabier, Evangelisti, Stefano, Berger, J. Arjan

论文摘要

方法。我们证明可以使用限制参数的小值来达到Wigner Sengime。为了在我们的结果中获得物理见解,我们用两个电子的半分析模型分析它们。得益于电子结构特性,例如一体密度和粒子孔熵,我们能够通过改变限制参数来定义将Wigner Secmime连接到费米 - 气体机制的路径。特别是,我们表明,粒子孔熵作为限制参数的函数平滑地连接了两个制度。此外,它的最大值可以解释为本地化和离域政权之间的过渡点。

approaches. We demonstrate that the Wigner regime can be reached using small values of the confinement parameter. To obtain physical insight in our results we analyze them with a semi-analytical model for two electrons. Thanks to electronic-structure properties such as the one-body density and the particle-hole entropy, we are able to define a path that connects the Wigner regime to the Fermi-gas regime by varying the confinement parameter. In particular, we show that the particle-hole entropy as a function of the confinement parameter smoothly connects the two regimes. Moreover, it exhibits a maximum that could be interpreted as the transition point between the localized and delocalized regimes.

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