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FFLO strange metal and quantum criticality in two dimensions: Theory and application to organic superconductors

机译：FFLO奇异金属和量子临界在两个方面：理论和对有机超导体的应用

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摘要

Increasing the spin imbalance in superconductors can spatially modulate the gap by forming Cooper pairs with finite momentum. For large imbalances compared to the Fermi energy, the inhomogeneous FFLO superconductor ultimately becomes a normal metal. There is mounting experimental evidence for this scenario in two-dimensional (2D) organic superconductors in large in-plane magnetic fields; this is complemented by ongoing efforts to realize this scenario in coupled tubes of atomic Fermi gases with spin imbalance. Yet, a theory for the phase transition from a metal to an FFLO superconductor has not been developed so far and the universality class has remained unknown. Here we propose and analyze a spin imbalance driven quantum critical point between a 2D metal and an FFLO phase in anisotropic electron systems. We derive the effective action for electrons and bosonic FFLO pairs at this quantum phase transition. Using this action, we predict non-Fermi-liquid behavior and the absence of quasiparticles at a discrete set of hot spots on the Fermi surfaces. This results in strange power laws in thermodynamics and response functions, which are testable with existing experimental setups on 2D organic superconductors and may also serve as signatures of the elusive FFLO phase itself. The proposed universality class is distinct from previously known quantum critical metals and, because its critical fluctuations appear already in the pairing channel, a promising candidate for naked metallic quantum criticality over extended temperature ranges.
机译：通过形成具有有限动量的库珀对，增加超导体中的自旋不平衡可以在空间上调节间隙。与费米能量相比，如果存在较大的失衡，则不均匀的FFLO超导体最终会变成普通金属。对于这种情况，在平面内大磁场中的二维（2D）有机超导体中有越来越多的实验证据。这是通过不断努力以实现具有自旋不平衡的原子费米气体耦合管中的这一方案的补充。然而，迄今为止，尚未开发出从金属到FFLO超导体的相变理论，并且通用性类别仍然未知。在这里，我们提出并分析了各向异性电子系统中2D金属与FFLO相之间自旋不平衡驱动的量子临界点。我们推导了在该量子相变时电子和玻色FFLO对的有效作用。使用此动作，我们可以预测非费米液体的行为以及费米表面上离散的一组热点处不存在准粒子。这导致了热力学和响应函数中的奇异幂定律，这些定律可通过在2D有机超导体上进行的现有实验设置进行测试，并且还可以作为难以捉摸的FFLO相本身的标志。提议的通用性类别与先前已知的量子临界金属不同，并且由于其临界波动已经出现在配对通道中，因此在扩展的温度范围内，裸金属量子临界性有望成为候选者。

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  • 来源
    《Physical review》 |2016年第8期|085112.1-085112.8|共8页
  • 作者

    Francesco Piazza; Wilhelm Zwerger; Philipp Strack;

  • 作者单位

    Institut fuer Theoretische Physik, Universitaet Innsbruck, A-6020 Innsbruck, Austria,Physik Department, Technische Universitaet Muenchen, 85747 Garching, Germany;

    Physik Department, Technische Universitaet Muenchen, 85747 Garching, Germany;

    Institut fuer Theoretische Physik, Universitaet zu Koeln, D-50937 Cologne, Germany,Department of Physics, Harvard University, Cambridge Massachusetts 02138;

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