论文标题
拓扑超导体表面上受旋转对称性保护的拓扑超导体表面上的非常规的主要费物
Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
论文作者
论文摘要
拓扑超导体是在其边界上托管主要中间状态的物质的异国情调的阶段。在常规的拓扑超导体中，主要差距状态以局部零维模式或具有准偏变性分散关系的旋转1/2传播的形式出现。在这里，我们表明，非常规繁殖主要状态可以在受旋转对称性保护的三维拓扑超导体的表面出现。非常规Majorana表面状态分为三个不同的类别：$（2S+1）$（2S+1）$ - 折叠退化$（S \ geq3/2）$，带有两种不同的拓扑指控的Majorana Fermi系列$（S \ geq3/2）$，以及一个与Spin-1/2 Majorana fermions相关的四分之一的旋转对称性的四重奏。前两种的光谱特性超出了传统的Spin-1/2费米子，是拓扑超导体独有的，在拓扑绝缘体中没有对应物。我们表明，在掺杂的$ Z_2 $拓扑绝缘子的超导阶段或具有旋转对称性的DIRAC半法。
Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional modes or propagating spin-1/2 fermions with a quasi-relativistic dispersion relation. Here we show that unconventional propagating Majorana states can emerge on the surface of three-dimensional topological superconductors protected by rotational symmetry. The unconventional Majorana surface states fall into three different categories: a spin-$S$ Majorana fermion with $(2S+1)$-fold degeneracy $(S\geq3/2)$, a Majorana Fermi line carrying two distinct topological charges, and a quartet of spin-1/2 Majorana fermions related by fourfold rotational symmetry. The spectral properties of the first two kinds, which go beyond the conventional spin-1/2 fermions, are unique to topological superconductors and have no counterpart in topological insulators. We show that the unconventional Majorana surface states can be obtained in the superconducting phase of doped $Z_2$ topological insulators or Dirac semimetals with rotational symmetry.
