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Band structure effects on the superconductivity in Hubbard models

机译：能带结构对哈伯德模型超导性的影响

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摘要

We study the influence of the band structure on the symmetry and superconducting transition temperature in the (solvable) weak-coupling limit of the repulsive Hubbard model. Among other results we find that (1) as a function of increasing nematicity, starting from the square-lattice (zero nematicity) limit where a nodal d-wave state is strongly preferred, there is a smooth evolution to the quasi-ID limit, where a striking near-degeneracy is found between a p-wave- and a d-wave-type paired states with accidental nodes on the quasi-one-dimensional Fermi surfaces-a situation that may be relevant to the Bechgaard salts. (2) In a bilayer system, we find aphase transition as a function of increasing bilayer coupling from a d-wave to an s_±-wave state reminiscent of the iron-based superconductors. (3) When an antinodal gap is produced by charge-density-wave order, not only is the pairing scale reduced, but the symmetry of the pairs switches from d_(x~2-y~2) to d_(xy) in the context of the cuprates, this suggests that were the pseudogap entirely due to a competing CDW order, this would likely cause a corresponding symmetry change of the superconducting order (which is not seen in experiment).
机译：我们在排斥哈伯德模型的（可解）弱耦合极限中研究了能带结构对对称性和超导转变温度的影响。在其他结果中，我们发现（1）作为向列性增加的函数，从强烈优先考虑节点d波状态的方格（零向列性）极限开始，到准ID极限有一个平滑的演化，在准一维费米表面上有偶发节点的p波和d波型配对状态之间发现了惊人的近简并列现象，这种情况可能与Bechgaard盐有关。 （2）在双层系统中，我们发现相变是从d波到s_±波状态的双层耦合增加的函数，让人联想到铁基超导体。 （3）当电荷密度波阶产生反节点间隙时，不仅配对比例减小，而且配对的对称性从d_（x〜2-y〜2）切换为d_（xy）。在铜酸盐的背景下，这表明完全是由于竞争的CDW阶造成的伪间隙，这可能会导致超导阶的相应对称性变化（在实验中未见）。

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  • 来源
    《Physical review》 |2013年第6期|064505.1-064505.14|共14页
  • 作者

    Weejee Cho; Ronny Thomale; Srinivas Raghu; Steven A. Kivelson;

  • 作者单位

    Department of Physics, Stanford University, Stanford, California 94305, USA;

    Institut de Theorie des Phenomenes Physiques, Ecole Polytechnique Federate de Lausanne (EPFL), CH-1015 Lausanne, Switzerland,Institute for Theoretical Physics and Astrophysics, University of Wuerzburg, D 97074 Wuerzburg, Germany;

    Department of Physics, Stanford University, Stanford, California 94305, USA;

    Department of Physics, Stanford University, Stanford, California 94305, USA;

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