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New scheme for braiding Majorana fermions  ( SCI-EXPANDED收录 EI收录)   被引量:14

文献类型:期刊文献

英文题名:New scheme for braiding Majorana fermions

作者:Wu, Long-Hua[1,2];Liang, Qi-Feng[1,3];Hu, Xiao[1,2]

机构:[1]Natl Inst Mat Sci, Int Ctr Mat Nanoarchitecton WPI MANA, Tsukuba, Ibaraki 3050044, Japan;[2]Univ Tsukuba, Grad Sch Pure & Appl Sci, Tsukuba, Ibaraki 3058571, Japan;[3]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China

年份:2014

卷号:15

期号:6

外文期刊名:SCIENCE AND TECHNOLOGY OF ADVANCED MATERIALS

收录:SCI-EXPANDED(收录号:WOS:000347309200003)、、EI(收录号:20150200413276)、Scopus(收录号:2-s2.0-84920517893)、WOS

基金:This work was supported by the WPI Initiative on Materials Nanoarchitectonics, Ministry of Education, Culture, Sports, Science and Technology of Japan, and partially by a Grant-in-Aid for Scientific Research under the Innovative Area 'Topological Quantum Phenomena' (No. 25103723), Ministry of Education, Culture, Sports, Science and Technology of Japan.

语种:英文

外文关键词:topological superconductor; Majorana fermion; non-Abelian statistics; Bogoliubovde Gennes equation; quantum computation

外文摘要:Non-Abelian statistics can be achieved by exchanging two vortices in topological superconductors with each grabbing a Majorana fermion (MF) as zero-energy quasi-particle at the cores. However, in experiments it is difficult to manipulate vortices. In the present work, we propose a way to braid MFs without moving vortices. The only operation required in the present scheme is to turn on and off local gate voltages, which liberates a MF from its original host vortex and transports it along the prepared track. We solve the time-dependent Bogoliubov-de Gennes equation numerically, and confirm that the MFs are protected provided the switching of gate voltages for exchanging MFs are adiabatic, which takes only several nano seconds given reasonable material parameters. By monitoring the time evolution of MF wave-functions, we show that non-Abelian statistics is achieved.

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