论文标题
纳米线网络中的逻辑majora零模式
Logical Majorana zero modes in a nanowire network
论文作者
论文摘要
我们提出了一个方案，在二维纳米网络的每个连接处使用物理Majorana Quasi-Zero模式来构建逻辑Majorana零模式，该模式可通过门电压来控制其位置。电线网络是实现Yang等人提案的一种方式。 ARXIV：1808.04825通过栅极电压将kekulé涡流图案涂在蜂窝晶状体上。我们表明，需要一种特定类型的连接点 - 除了天真的Y-或T结 - 不需要破坏时间转换对称性，即具有Majoraana fermions而不是复杂网站的人造``石墨烯''系统。我们提出（i）在一个砖墙或Honeycomb晶格的每个位点上恰好捕获一个物理Majora（准）零模式的交界处，并且（ii）允许此模式与所有三个相邻站点杂交。使用这些连接的晶格，并从电线的电子，紧密结合模型开始，我们贴上与Kekulé涡流相对应的电压图案，并观察到涡旋核心逻辑Majora零模式的出现。我们还提供了可以通过实验实现这种激发的参数范围。
We present a scheme to use physical Majorana quasi-zero modes at each junction of a two-dimensional nanowire network to build a logical Majorana zero mode, the location of which is controllable through gate voltages. The wire-network is a way to realize a proposal by Yang et al. arXiv:1808.04825 to imprint a Kekulé vortex pattern on a honeycomb lattice via gate voltages. We show that a specific type of junction -- other than a naive Y- or T-junction -- is needed to realize, without breaking time-reversal symmetry, an artificial ``graphene'' system with Majorana fermions instead of complex ones at each site. The junction we propose (i) traps exactly one physical Majorana (quasi-)zero mode at each site of either a brick wall or honeycomb lattice and (ii) allows this mode to hybridize with all three neighboring sites. Using a lattice of these junctions and starting from an electronic, tight-binding model for the wires, we imprint the voltage patterns corresponding to the Kekulé vortex and observe the emergence of the logical Majorana zero mode at the vortex core. We also provide the range of parameters where this excitation could be realized experimentally.
