Details
| Original language | English |
|---|---|
| Article number | 187702 |
| Journal | Physical review letters |
| Volume | 125 |
| Issue number | 18 |
| Publication status | Published - 28 Oct 2020 |
| Externally published | Yes |
Abstract
It has been argued that fluctuations of fermion parity are harmful for the demonstration of non-Abelian anyonic statistics. Here, we demonstrate a striking exception in which such fluctuations are actively used. We present a theory of coherent electron transport from a tunneling tip into a Corbino geometry Josephson junction where four Majorana bound states (MBSs) rotate. While the MBSs rotate, electron tunneling happens from the tip to one of the MBSs thereby changing the fermion parity of the MBSs. The tunneling events in combination with the rotation allow us to identify a novel braiding operator that does not commute with the braiding cycles in the absence of tunneling, revealing the non-Abelian nature of MBSs. The time-averaged tunneling current exhibits resonances as a function of the tip voltage with a period that is a direct consequence of the interference between the noncommuting braiding operations. Our work opens up a possibility for utilizing parity nonconserving processes to control non-Abelian states.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review letters, Vol. 125, No. 18, 187702, 28.10.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
AU - Park, Sunghun
AU - Sim, H. S.
AU - Recher, Patrik
N1 - Funding information: We thank A. Levy Yeyati for helpful discussion. S. P. is supported by the Spanish MINECO through the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0377). P. R. acknowledges financial support from the Lower Saxony PhD-programme “Contacts in Nanosystems”, the Braunschweig International Graduate School of Metrology B-IGSM, the “Niedersächsisches Vorab” through “Quantum- and Nano-Metrology (QUANOMET)” initiative within the project NL-2, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within the Research Training Group GrK1952/1 “Metrology for Complex Nanosystems” and the framework of Germany’s Excellence Strategy - EXC-2123 QuantumFrontiers - 390837967. H.-S. S. acknowledges support from the National Research Foundation (Korea NRF) funded by the Korean Government via the SRC Center for Quantum Coherence in Condensed Matter (Grant No. 2016R1A5A1008184).
PY - 2020/10/28
Y1 - 2020/10/28
N2 - It has been argued that fluctuations of fermion parity are harmful for the demonstration of non-Abelian anyonic statistics. Here, we demonstrate a striking exception in which such fluctuations are actively used. We present a theory of coherent electron transport from a tunneling tip into a Corbino geometry Josephson junction where four Majorana bound states (MBSs) rotate. While the MBSs rotate, electron tunneling happens from the tip to one of the MBSs thereby changing the fermion parity of the MBSs. The tunneling events in combination with the rotation allow us to identify a novel braiding operator that does not commute with the braiding cycles in the absence of tunneling, revealing the non-Abelian nature of MBSs. The time-averaged tunneling current exhibits resonances as a function of the tip voltage with a period that is a direct consequence of the interference between the noncommuting braiding operations. Our work opens up a possibility for utilizing parity nonconserving processes to control non-Abelian states.
AB - It has been argued that fluctuations of fermion parity are harmful for the demonstration of non-Abelian anyonic statistics. Here, we demonstrate a striking exception in which such fluctuations are actively used. We present a theory of coherent electron transport from a tunneling tip into a Corbino geometry Josephson junction where four Majorana bound states (MBSs) rotate. While the MBSs rotate, electron tunneling happens from the tip to one of the MBSs thereby changing the fermion parity of the MBSs. The tunneling events in combination with the rotation allow us to identify a novel braiding operator that does not commute with the braiding cycles in the absence of tunneling, revealing the non-Abelian nature of MBSs. The time-averaged tunneling current exhibits resonances as a function of the tip voltage with a period that is a direct consequence of the interference between the noncommuting braiding operations. Our work opens up a possibility for utilizing parity nonconserving processes to control non-Abelian states.
UR - http://www.scopus.com/inward/record.url?scp=85094888922&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.125.187702
DO - 10.1103/PhysRevLett.125.187702
M3 - Article
C2 - 33196222
AN - SCOPUS:85094888922
VL - 125
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 18
M1 - 187702
ER -