二维量子点对称性破缺的群论分析
介观与纳米尺度物理
2009-11-10 v2 强关联电子
摘要
我们对二维 N 电子单量子点（有无外磁场）中的对称性破缺的非限制Hartree-Fock轨道和电子密度进行了群论研究。旋转对称性的破坏导致规范轨道具有以下特征：(1) 与具有经典 N 电子问题中平衡分子配置位置的 Hueckel 哈密顿器的特征向量相关联，(2) 根据由该经典分子配置离散对称性确定的点群的不可约表示进行变换。在通过投影技术恢复总自旋和旋转对称性后，我们表明，单限制Hartree-Fock波函数的点群离散对称性支撑了量子点的激发谱中魔术角动量（熟悉于exact-diagonalization研究）的出现。 Furthermore, this two-step symmetry-breaking/symmetry-restoration method accurately describes the energy spectra associated with the magic angular momenta.
关键词
引用
@article{arxiv.cond-mat/0302130,
title = {Group theoretical analysis of symmetry breaking in two-dimensional quantum dots},
author = {Constantine Yannouleas and Uzi Landman},
journal= {arXiv preprint arXiv:cond-mat/0302130},
year = {2009}
}
备注
A section VI.B entitled "Quantitative description of the lowest rotational band" has been added. 16 pages. Revtex with 10 EPS figures. A version of the manuscript with high quality figures is available at http://calcite.physics.gatech.edu/~costas/uhf_group.html For related papers, see http://www.prism.gatech.edu/~ph274cy