Majorana zero modes on a one-dimensional chain for quantum computation

✍ Scribed by Chen, Lei; LiMing, W.; Huang, Jia-Hui; Yin, Chengping; Xue, Zheng-Yuan

• Book ID: 126808988
• Publisher: The American Physical Society
• Year: 2014
• Tongue: English
• Weight: 670 KB
• Volume: 90
• Category: Article
• ISSN: 1050-2947
• DOI: 10.1103/physreva.90.012323

✦ Synopsis

Numerical calculations for Majorana zero modes on finite chains are performed using the technique of block diagonalization. It is found that Majorana zero modes occur near the ends of the chain and decay exponentially away from the ends. The phase diagrams show that Majorana zero modes of a sufficiently long chain indeed have a parameter domain of 2t > |μ| as predicted from the bulk property of an infinite chain, but a short chain has a much smaller parameter domain than the prediction. Through a numerical simulation Majorana zero modes are found to be robust under the disturbance of noise. Finally the reversion of the parity of the ground states is studied by applying a bias voltage on the quantum dot at an end of the chain. It is found that for a weak coupling between a chain and a quantum dot the parity of the ground states can be reversed through adiabatically tuning the bias voltage.