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Dominant superconducting fluctuations in the one-dimensional extended Holstein-extended Hubbard model

机译：一维扩展Holstein扩展Hubbard模型中的主导超导涨落

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摘要

The search for realistic one-dimensional (1D) models that exhibit dominant superconducting (SC) fluctuations effects has a long history. In these 1D systems, the effects of commensurate band fillings-strongest at half-filling-and electronic repulsions typically lead to a finite charge gap and the favoring of insulating density wave ordering over superconductivity. Accordingly, recent proposals suggesting a gapless metallic state in the Holstein-Hubbard (HH) model, possibly superconducting, have generated considerable interest and controversy, with the most recent work demonstrating that the putative dominant superconducting state likely does not exist. In this paper we study a model with nonlocal electron-phonon interactions, in addition to electron-electron interactions. This model unambiguously possesses dominant superconducting fluctuations at half filling in a large region of parameter space. Using both the numerical multi-scale functional renormalization group (MFRG) for the full model and an analytic conventional renormalization group for a bosonized version of the model, we demonstrate the existence of these dominant SC fluctuations and show that they arise because the spin-charge coupling at high energies is weakened by the nonlocal electron-phonon interaction and the charge gap is destroyed by the resultant suppression of the Umklapp process. The existence of the dominant SC pairing instability in this half-filled 1D system suggests that nonlocal boson-mediated interactions may be important in the superconductivity observed in the organic superconductors.
机译：寻找具有显性超导（SC）波动效应的逼真的一维（1D）模型的历史由来已久。在这些一维系统中，相应的条带填充（在半填充时最强）和电子斥力的影响通常会导致有限的电荷隙，并且绝缘密度波的有序性优于超导性。因此，最近提出的在荷斯坦-哈伯德（HH）模型中可能为超导的无间隙金属态的提议引起了极大的兴趣和争议，而最新的工作表明可能不存在假定的主导性超导态。在本文中，我们研究了除电子-电子相互作用之外还具有非局部电子-声子相互作用的模型。该模型在参数空间的较大区域中，半填充时无疑具有主导性的超导波动。使用完整模型的数值多尺度功能重整化组（MFRG）和模型的玻化版本的解析常规重整化组，我们证明了这些主要的SC波动的存在，并表明它们的产生是由于自旋电荷非局部电子-声子相互作用减弱了高能下的耦合，并且由于抑制了Umklapp过程而破坏了电荷隙。在这个半填充的一维系统中，主要的SC配对不稳定性的存在表明，非局部玻色子介导的相互作用可能在有机超导体中观察到的超导性中很重要。

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