论文标题
游离费米尼系统中的主要正交转换和majora零模式
Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
论文作者
论文摘要
我们研究了使用Majorana正交转换的免费费米子模型，该模型在Majorana模型之间进行了Majorana正交转换，在复杂费米子的Majorana表示下，这是一种转换。使用Majorana正交转换，获得了U（1）倍增的拓扑量规理论$ p_ {x}+ip_ {y} $拓扑超导体；使用字段理论方法研究了涡旋主要零模式和多个涡流的退化分裂。对于晶格Majorana跳跃模型，我们对Majorana零模式进行真实空间分析。在一个维度上，讨论了脱钩的Su-Schrieffer-Heeger模型和Kitaev链作为复合模型的示例和构建块。在二维中，引入了$ p_ {x}+ip_ {y} $ superconductor的简单晶格模型，并明确写下其缺陷majoremana零模式。我们引入了一种系统的方式来获取托管Majora零模式的模型，其中由Majorana正交转换的两个独立的Majorana跳跃模型构建了复合模型。提出并讨论了三个一维模型。
We study free fermionic models that host Majorana zero modes using the Majorana orthogonal transformation, which is a type of transformation between different fermionic models under Majorana representation of complex fermions. Using Majorana orthogonal transformation, a U(1) topological gauge theory for the doubled $p_{x}+ip_{y}$ topological superconductor is obtained; the vortex Majorana zero modes and the degeneracy splitting of multiple vortices are studied using field theoretical method. For lattice Majorana hopping models, we perform real-space analysis on the Majorana zero modes. In one dimension, the decoupled Su-Schrieffer-Heeger model and the Kitaev chain are discussed as examples and building blocks for composite models. In two dimensions a simple lattice model realizing the $p_{x}+ip_{y}$ superconductor is introduced, and its defect Majorana zero mode is written down explicitly. We introduce a systematic way to obtain models hosting Majorana zero modes in which composite models are constructed from two independent Majorana hopping models by Majorana orthogonal transformations. Three one-dimensional models are proposed and discussed as examples.
