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Higher angular momentum pairing from transverse gauge interactions

机译：横向规范相互作用产生更高的角动量配对

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摘要

In this paper, we study the superconductivity of nonrelativistic fermions at finite-density coupled to a transverse U(1) gauge field, with the effective interaction including the Landau-damping. This model, first studied by Holstein, Norton, and Pincus [Phys. Rev. B 8, 2649 (1973)] has been known as an example of a non-Fermi liquid, i.e., a metallic state in which the decay rate of a quasiparticle is large compared to the characteristic quasiparticle energy; other examples of the non-Fermi liquid includes the two dimensional (2d) electron gas in a magnetic field at v = 1/2 and the normal state of optimally doped cuprate superconductors. Our study thus addresses the question of whether or not non-Fermi liquids, like Fermi liquids, are unstable towards the formation of superconductivity. The results are (ⅰ) the non-Fermi liquid is stable against superconductivity below a critical gauge coupling, (ⅱ) above this critical coupling, the ground state is an unconventional superconductor with angular momentum l≥ 2. Our results are obtained from a solution of the Dyson-Nambu equation. Note that in this problem there is a quantum critical point between a non-Fermi liquid state and the superconducting state, as the critical coupling is nonzero. This is in contrast to a weakly coupled metal, which exhibits superconductivity for infinitesimally weak interaction regardless of its sign.
机译：在本文中，我们研究了有限相对密度的非相对论性费米子的超导性，并耦合了一个横向U（1）规范场，并进行了有效的相互作用，包括Landau阻尼。该模型首先由Holstein，Norton和Pincus [Phys。作为非费米液体的一个例子，B.B。8（2649（1973））是已知的，即一种金属态，其中准粒子的衰减率比特征准粒子的能量大。非费米液体的其他示例包括在v = 1/2的磁场中的二维（2d）电子气和最佳掺杂的铜酸盐超导体的常态。因此，我们的研究解决了非费米液体（如费米液体）是否对形成超导性不稳定的问题。结果是（ⅰ）非费米液体在临界规范耦合以下对超导电性稳定，（ⅱ）在该临界耦合之上，基态是角动量为l≥2的非常规超导体。 Dyson-Nambu方程的形式注意，在这个问题中，在非费米液态与超导状态之间存在一个量子临界点，因为临界耦合为非零。这与弱耦合金属相反，后者无论其符号如何，对于无限有限的弱相互作用都具有超导性。

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  • 来源
    《Physical review》 |2013年第4期|045127.1-045127.7|共7页
  • 作者

    Suk Bum Chung; Ipsita Mandal; Srinivas Raghu; Sudip Chakravarty;

  • 作者单位

    Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095, USA;

    Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095, USA;

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

    Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095, USA;

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