二维哈伯德模型Hartree-Fock基态的多重性、局域化和畴
Multiplicity, localization, and domains in the Hartree-Fock ground state of the two-dimensional Hubbard model
摘要：
我们探讨了二维哈伯德模型基态的Hartree-Fock近似的某些性质，强调了这样一个事实，即在Hartree方法中存在着大量的自洽解，这些解在能量上几乎是简并的，让人想起自旋玻璃，但在其他体性质上可能有很大的不同。有人认为，这种多样性是物理相关的低温。我们研究了包含Hartree-Fock态的单粒子波函数的局域化性质，发现这些波函数在U/t的小和中等值处是非局域化的，特别是在条纹区域，但在对应于强排斥的值处变得高度局域化。我们还发现矩形域，以及条纹的条纹区域的相图，并研究在附近的半填充对相关。
英文摘要：
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.
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