论文标题
二维Hubbard模型的Hartree-Fock基态中的多重性，定位和域
Multiplicity, localization, and domains in the Hartree-Fock ground state of the two-dimensional Hubbard model
论文作者
论文摘要
我们探讨了Hartree-fock近似与二维Hubbard模型基态的某些特性，这强调了一个事实，即在Hartree方法中，存在巨大的多样性的自持式解决方案，这些解决方案几乎在能量上几乎退化，这使人联想起旋转玻璃，但可能在其他Bulk属性中有很大差异。有人认为，这种多重性在低温下具有物理相关性。我们研究了包含Hartree-fock状态的一粒子波函数的定位特性，并发现它们在u/t的小和中等值下，尤其是在条纹区域中，但在条纹区域中，但在相对于强烈排斥相对应的值处高度定位。我们还发现了相图的条纹区域中的矩形域以及条纹，并在半填充附近的研究对相关性。
We explore certain properties of the Hartree-Fock approximation to the ground state of the two-dimensional Hubbard model, emphasizing the fact that in the Hartree approach there is an enormous multiplicity of self-consistent solutions which are nearly degenerate in energy, reminiscent of a spin glass, but which may differ substantially in other bulk properties. It is argued that this multiplicity is physically relevant at low temperatures. We study the localization properties of the one-particle wavefunctions comprising the Hartree-Fock states, and find that these are unlocalized at small and moderate values of U/t, in particular in the stripe region, but become highly localized at values corresponding to strong repulsion. We also find rectangular domains as well as stripes in the stripe region of the phase diagram, and study pair correlations in the neighborhood of half-filling.
