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首页> 外文期刊>Physical review >d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
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d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals

机译：D-Wave超导性和Rarita-Schwinger-Weyl Semimetals的Bogoliubov-Fermi表面

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We uncover the properties of complex tensor (d-wave) superconducting order in three-dimensional Rarita-Schwinger-Weyl semimetals that host pseudospin-3/2 fermions at a fourfold linear band-crossing point. Although the general theory of d-wave order was originally developed for materials displaying quadratic band touching, it directly applies to the case of semimetals with linear dispersion, several candidate compounds of which have been discovered experimentally very recently. The spin-3/2 nature of the fermions allows for the formation of spin-2 Cooper pairs which may be described by a complex second-rank tensor order parameter. In the case of linear dispersion, for the chemical potential at the Fermi point and at strong coupling, the energetically preferred superconducting state is the uniaxial nematic state, which preserves time-reversal symmetry and provides a full (anisotropic) gap for quasiparticle excitations. In contrast, at a finite chemical potential, we find that the usual weak-coupling instability is toward the "cyclic state," well known from the studies of multicomponent Bose-Einstein condensates, which breaks time-reversal symmetry maximally, has vanishing average value of angular momentum, and features 16 small Bogoliubov-Fermi surfaces. The Rarita-Schwinger-Weyl semimetals provide therefore the first example of weakly coupled, three-dimensional, isotropic d-wave superconductors where the d-wave superconducting phase is uniquely selected by the quartic expansion of the mean-field free energy, and is not afflicted by the accidental degeneracy first noticed by Mermin over 40 years ago. We discuss the appearance and stability of the Bogoliubov-Fermi surfaces in absence of inversion symmetry in the electronic Hamiltonian, as in the case at hand.
机译：我们在三维Rarita-Schwinger-Weyl半定中揭示了复杂张量（D波）超导顺序的性质，该威尔半矩形在四倍线性带式带式带式带交叉点处托管假旋转型-3 / 2码米。尽管D波顺序的一般理论最初是为显示二次带接触的材料而开发的，但它直接适用于具有线性分散体的半态的情况，其中几种候选化合物已经在实验上被实验发现。旋转式3/2的费米为允许形成旋转2组合器对，其可以通过复杂的第二级张量序参数描述。在线性分散体的情况下，对于费米点和强耦合的化学电位，能量优选的超导状态是单轴向列状态，其保留时间反转对称性并为Quasiparticle激发提供全（各向异性）间隙。相比之下，在有限的化学潜力，我们发现通常的弱耦合不稳定性朝向“循环状态”，从多组分Bose-Einstein缩合物的研究中众所周知，这是最大地破坏时间反转对称性的，具有消失的平均值角动力，并具有16个小型Bogoliubov-Fermi表面。因此，Rarita-Schwinger-Weyl半纤维提供，因此通过平均自由能的四分之一扩展，D波超导相的弱耦合三维的各向同性D波超导体的第一例提供了弱耦合的三维，各向同性D波超导体，并且不是在40年前，Mermin首先注意到意外退化的痛苦。我们讨论了电子汉密尔顿中逆变对称性的博加坡 - 费米表面的外观和稳定性，就像手头的情况一样。

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  • 来源
    《Physical review》 |2020年第18期|184503.1-184503.19|共19页
  • 作者

    Julia M. Link; Igor Boettcher; Igor F. Herbut;

  • 作者单位

    Department of Physics Simon Fraser University Burnaby British Columbia Canada V5A 1S6;

    Joint Quantum Institute University of Maryland College Park Maryland 20742 USA;

    Department of Physics Simon Fraser University Burnaby British Columbia Canada V5A 1S6;

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