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arXiv 0809.5108cond-mat.str-elcond-mat.mtrl-sci
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强关联系统交换关联泛函的不连续性--临界性

The discontinuous nature of the exchange-correlation functional -- critical for strongly correlated systems

Paula Mori-Sanchez, Aron J. Cohen, Weitao Yang

摘要:

交换相关泛函的标准近似在分数电荷的线性条件下会产生很大的误差,导致离域误差,而分数自旋的恒定条件会产生静态相关误差。对于分数电荷和分数自旋的状态,这两个条件现在是统一的:精确的能量泛函是一个平面,沿着分数电荷坐标是线性的,沿着分数自旋坐标是常数,在整数处有一条不连续的线。这揭示了导数不连续性的本质,并要求密度或轨道的显式不连续泛函超越目前使用的光滑近似。这是DFT应用于强关联系统的关键。

英文摘要:

Standard approximations for the exchange-correlation functional have been found to give big errors for the linearity condition of fractional charges, leading to delocalization error, and the constancy condition of fractional spins, leading to static correlation error. These two conditions are now unified for states with both fractional charge and fractional spin: the exact energy functional is a plane, linear along the fractional charge coordinate and constant along the fractional spin coordinate with a line of discontinuity at the integer. This sheds light on the nature of the derivative discontinuity and calls for explicitly discontinuous functionals of the density or orbitals that go beyond currently used smooth approximations. This is key for the application of DFT to strongly correlated systems.

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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