期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 113, 期 44, 页码 12386-12390出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1614543113
关键词
fractional quantum Hall effect; 5/2 fractional quantum Hall state; edge-current tunneling; quantum point contact; non-Abelian statistics
资金
- Natural Science Foundation of China [11274020, 11322435]
- National Basic Research Program of China [2015CB921101, 2012CB921301]
- Gordon and Betty Moore Foundation through Emergent Phenomena in Quantum Systems Initiative Grant [GBMF4420]
- National Science Foundation Materials Research Science and Engineering Centers Grant [DMR-1420541]
- Keck Foundation
Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation. Although the non-Abelian Pfaffian state and its particle-hole conjugate, the anti-Pfaffian state, are the most plausible wave functions for the 5/2 state, there are a number of alternatives with either Abelian or non-Abelian statistics. Recent experiments suggest that the tunneling exponents are more consistent with an Abelian state rather than a non-Abelian state. Here, we present edge-current-tunneling experiments in geometrically confined quantum point contacts, which indicate that Abelian and non-Abelian states compete at filling factor 5/2. Our results are consistent with a transition from an Abelian state to a non-Abelian state in a single quantum point contact when the confinement is tuned. Our observation suggests that there is an intrinsic non-Abelian 5/2 ground state but that the appropriate confinement is necessary to maintain it. This observation is important not only for understanding the physics of the 5/2 state but also for the design of future topological quantum computation devices.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据