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首页> 外文期刊>Physical review >Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction
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Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction

机译：具有自旋轨道耦合的多频带系统的功能重整化和均值场方法：具有有吸引力的相互作用的Rashba模型的应用

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摘要

The functional renormalization group (RG) in combination with Fermi surface patching is a well-established method for studying Fermi liquid instabilities of correlated electron systems. In this paper, we further develop this method and combine it with mean-field theory to approach multiband systems with spin-orbit coupling, and we apply this to a tight-binding Rashba model with an attractive, local interaction. The spin dependence of the interaction vertex is fully implemented in a RG flow without SU(2) symmetry, and its momentum dependence is approximated in a refined projection scheme. In particular, we discuss the necessity of including in the RG flow contributions from both bands of the model, even if they are not intersected by the Fermi level. As the leading instability of the Rashba model, we find a superconducting phase with a singlet-type interaction between electrons with opposite momenta. While the gap function has a singlet spin structure, the order parameter indicates an unconventional superconducting phase, with the ratio between singlet and triplet amplitudes being plus or minus one on the Fermi lines of the upper or lower band, respectively. We expect our combined functional RG and mean-field approach to be useful for an unbiased theoretical description of the low-temperature properties of spin-based materials.
机译：功能再归一化基团（RG）与费米表面修补相结合是研究相关电子系统费米液体不稳定性的公认方法。在本文中，我们将进一步开发此方法，并将其与均值场理论相结合，以解决具有自旋轨道耦合的多频带系统，并将其应用于具有吸引人的局部相互作用的紧密绑定Rashba模型。交互顶点的自旋相关性完全在没有SU（2）对称性的RG流中实现，并且其动量相关性在改进的投影方案中近似。特别是，我们讨论了将模型两个频带中的RG流量贡献包括在内的必要性，即使它们未与费米能级相交也是如此。作为Rashba模型的主要不稳定性，我们发现了具有相反动量的电子之间具有单线态相互作用的超导相。虽然间隙函数具有单重态自旋结构，但阶跃参数指示非常规超导相位，在上或下带的费米线上，单重态和三重态振幅之间的比率分别为正负-1。我们希望我们的功能RG和均值场方法相结合，对于自旋基材料的低温特性的无偏理论描述很有用。

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  • 来源
    《Physical review》 |2016年第11期|115111.1-115111.38|共38页
  • 作者

    G. A. H. Schober; K.-U. Giering; M. M. Scherer; C. Honerkamp; M. Salmhofer;

  • 作者单位

    Institute for Theoretical Physics, Heidelberg University, Philosophenweg 19, D-69120 Heidelberg, Germany;

    Institute for Theoretical Physics, Heidelberg University, Philosophenweg 19, D-69120 Heidelberg, Germany;

    Institute for Theoretical Physics, Heidelberg University, Philosophenweg 19, D-69120 Heidelberg, Germany;

    Institute for Theoretical Solid State Physics, RWTH Aachen University, D-52074 Aachen, Germany;

    Institute for Theoretical Physics, Heidelberg University, Philosophenweg 19, D-69120 Heidelberg, Germany;

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