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arXiv 0906.2878cond-mat.str-elcond-mat.supr-con
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交换空穴对一维Gutzwiller近似的影响

Effect of the exchange hole on the Gutzwiller approximation in one dimension

Balazs Hetenyi, Hans Gerd Evertz, Wolfgang von der Linden

摘要:

Gutzwiller波函数的Gutzwiller近似解在无限维极限下产生Gutzwiller波函数的精确结果。古茨维勒近似中隐含着费米子交换空穴的近似局域形式。这个近似形式对所有维都是一样的,但除了无限维之外,它是不正确的。我们将交换洞的正确形式应用到Gutzwiller近似中。我们在半填充的一维哈伯德模型上进行计算。它们表明,交换孔的实现已经使古茨维勒近似与完整的古茨维勒波函数的结果非常接近的定量一致。金属性以及反铁磁性恢复。

英文摘要:

The Gutzwiller approximate solution to the Gutzwiller wavefunction yields exact results for the Gutzwiller wavefunction in the infinite dimensional limit. Implicit in the Gutzwiller approximation is an approximate local form of the fermion exchange hole. This approximate form is the same for all dimensions but is incorrect except in infinite dimensions. We implement the correct form for the exchange hole into the Gutzwiller approximation. We perform calculations on the one-dimensional Hubbard model at half-filling. They indicate that the implementation of the exchange hole already brings the Gutzwiller approximation into very close quantitative agreement with the results of the full Gutzwiller wavefunction. Metallicity as well as anti-ferromagnetism are recovered.

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