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Metallic quantum critical points with finite BCS couplings

机译：具有有限BCS耦合的金属量子临界点

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摘要

We study the fate of superconductivity in the vicinity of a class of metallic quantum critical points obtained by coupling a Fermi surface to a critical boson. In such systems there is a competition between the enhanced pairing tendency due to the presence of long-range attractive interactions near criticality, and the suppression of superconductivity due to the destruction of the Landau quasiparticles. We show that there are regimes in which these two effects offset one another, resulting in a non-Fermi liquid fixed point With finite, scale invariant, BCS coupling. While these interactions lead to substantial superconducting fluctuations, they do not drive the system into a superconducting ground state. The metallic quantum critical fixed points are connected to the superconducting regime by a continuous phase transition. These results are established using a controlled expansion in the deviation from d = 3 spatial dimensions, as well as in a large number N of internal flavors. We discuss the possible relevance of our findings to the phenomenon of superconducting domes condensing out of a non-Fermi liquid normal state near quantum critical points.
机译：我们研究通过将费米表面耦合至临界玻色子而获得的一类金属量子临界点附近的超导性。在这样的系统中，由于存在接近临界的长距离吸引相互作用而增强了配对趋势，并且由于破坏了朗道准粒子而抑制了超导之间存在竞争。我们表明，在某些情况下，这两种影响会相互抵消，从而导致非费米液体定点具有有限的，尺度不变的BCS耦合。尽管这些相互作用会导致大量的超导波动，但它们不会使系统进入超导基态。金属量子临界固定点通过连续的相变连接到超导状态。这些结果是通过控制与d = 3空间尺寸的偏差以及大量N种内部调味料的偏差而建立的。我们讨论了我们的发现与在量子临界点附近从非费米液态常态冷凝出来的超导圆顶现象的可能相关性。

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  • 来源
    《Physical review》 |2015年第20期|205104.1-205104.11|共11页
  • 作者

    S. Raghu; Gonzalo Torroba; Huajia Wang;

  • 作者单位

    Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA,SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA;

    Centro Atomico Bariloche and CONICET, Bariloche, Rio Negro R8402AGP, Argentina;

    Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    strongly correlated electron systems; heavy fermions; theory of quantized fields;

    机译：强相关电子系统;重费米子量子场论;

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