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arXiv 0910.4820cond-mat.str-elcond-mat.supr-con
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掺杂双层哈伯德模型中的超导电性

Superconductivity in the doped bilayer Hubbard model

Nicola Lanata`, Paolo Barone, Michele Fabrizio

摘要:

本文用Gutzwiller近似研究了双层哈伯德模型在足够大的层间跳跃下价键晶相的熔化。我们发现,一个超导畴,与序参量$d_{z^2-r^2}$,$z$是层间方向和$r$的层内,是稳定的变化接近半填充的非磁性莫特绝缘体。超导电性存在于半填充的边界处的莫特转变,并从半填充延伸到整个区域,直到临界掺杂,超过临界掺杂,它让位于正常的金属相。这一结果表明,超导性应该是通过取代价键晶体来实现的,至少当每一层都是无限配位晶格并且Gutzwiller近似变得精确时。值得注意的是,同样的行为在两条腿的哈伯德梯子的另一个极端中得到了很好的建立,表明它可能具有相当普遍的有效性。

英文摘要:

We study by the Gutzwiller approximation the melting of the valence bond crystal phase of a bilayer Hubbard model at sufficiently large inter-layer hopping. We find that a superconducting domain, with order parameter $d_{z^2-r^2}$, $z$ being the inter-layer direction and $r$ the intra-layer one, is stabilized variationally close to the half-filled non-magnetic Mott insulator. Superconductivity exists at half-filling just at the border of the Mott transition and extends away from half-filling into a whole region till a critical doping, beyond which it gives way to a normal metal phase. This result suggests that superconductivity should be unavoidably met by liquefying a valence bond crystal, at least when each layer is an infinite coordination lattice and the Gutzwiller approximation becomes exact. Remarkably, this same behavior is well established in the other extreme of two-leg Hubbard ladders, showing it might be of quite general validity.

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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