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首页> 外文期刊>Physical Review X >Pairing States of Spin- 3 2 Fermions: Symmetry-Enforced Topological Gap Functions
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Pairing States of Spin- 3 2 Fermions: Symmetry-Enforced Topological Gap Functions

机译：配对旋转状态 - 3 2个晶片：对称强制拓扑间隙功能

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We study the topological properties of superconductors with paired j = 3 2 quasiparticles. Higher spin Fermi surfaces can arise, for instance, in strongly spin-orbit coupled band-inverted semimetals. Examples include the Bi-based half-Heusler materials, which have recently been established as low-temperature and low-carrier density superconductors. Motivated by this experimental observation, we obtain a comprehensive symmetry-based classification of topological pairing states in systems with higher angular momentum Cooper pairing. Our study consists of two main parts. First, we develop the phenomenological theory of multicomponent (i.e., higher angular momentum) pairing by classifying the stationary points of the free energy within a Ginzburg-Landau framework. Based on the symmetry classification of stationary pairing states, we then derive the symmetry-imposed constraints on their gap structures. We find that, depending on the symmetry quantum numbers of the Cooper pairs, different types of topological pairing states can occur: fully gapped topological superconductors in class DIII, Dirac superconductors, and superconductors hosting Majorana fermions. Notably, we find a series of nematic fully gapped topological superconductors, as well as double- and triple-Dirac superconductors, with quadratic and cubic dispersion, respectively. Our approach, applied here to the case of j = 3 2 Cooper pairing, is rooted in the symmetry properties of pairing states, and can therefore also be applied to other systems with higher angular momentum and high-spin pairing. We conclude by relating our results to experimentally accessible signatures in thermodynamic and dynamic probes.
机译：我们研究了配对J = 3 2 Quasiply的超导体的拓扑特性。例如，可以出现较高的旋转费米表面，其强直地旋转轨道耦合带倒置半型。实例包括最近被建立为低温和低载流密度超导体的Bi基半风琴材料。通过这种实验观察，我们获得了具有较高角动量库配对的系统中拓扑配对状态的全面对称性分类。我们的研究包括两个主要部分。首先，我们通过将自由能的静止点分类在林茨堡 - Landau框架内进行静止点来发展多组分（即，较高角动量）的现象学理论。基于静止配对状态的对称性分类，我们在其间隙结构上导出对称强加的约束。我们发现，取决于Cooper对的对称量子数，可能发生不同类型的拓扑配对状态：DIII，DIRAC超导体和托管Majorana Fermions的超导体中完全受到的拓扑超导体。值得注意的是，我们发现一系列旨在的拓扑拓扑超导体，以及双层和三迪拉克超导体，分别具有二次和立方体分散。我们在这里应用于J = 3 2 Cooper配对的情况的方法源于配对状态的对称性特性，因此也可以应用于具有较高角动量和高旋转配对的其他系统。我们通过将我们的结果与热力学和动态探针的实验可访问签名相关联。

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