Hierarchical Majoranas in a programmable nanowire network
Abstract
We propose a hierarchical architecture for building “logical” Majorana zero modes using “physical” Majorana zero modes at the Y-junctions of a hexagonal network of semiconductor nanowires. Each Y-junction contains three “physical” Majoranas, which hybridize when placed in close proximity, yielding a single effective Majorana mode near zero energy. The hybridization of effective Majorana modes on neighboring Y-junctions is controlled by applied gate voltages on the links of the honeycomb network. This gives rise to a tunable tight-binding model of effective Majorana modes. We show that selecting the gate voltages that generate a Kekule vortex pattern in the set of hybridization amplitudes yields an emergent “logical” Majorana zero mode bound to the vortex core. The position of a logical Majorana can be tuned adiabatically, without moving any of the “physical” Majoranas or closing any energy gaps, by programming the values of the gate voltages to change as functions of time. Furthermore, a nanowire network supporting multiple such “logical” Majorana zero modes provides a physical platform for performing adiabatic non-Abelian braiding operations in a fully controllable manner.
- Authors:
-
- Boston Univ., MA (United States)
- Univ. of Maryland, College Park, MD (United States)
- Paul Scherrer Inst. (PSI), Villigen (Switzerland)
- Publication Date:
- Research Org.:
- Boston Univ., MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1609749
- Alternate Identifier(s):
- OSTI ID: 1507804
- Grant/Contract Number:
- FG02-06ER46316
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 15; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; Majorana bound states; Majorana fermions; topological quantum computing; nanowires; topological superconductors
Citation Formats
Yang, Zhi-Cheng, Iadecola, Thomas, Chamon, Claudio, and Mudry, Christopher. Hierarchical Majoranas in a programmable nanowire network. United States: N. p., 2019.
Web. doi:10.1103/physrevb.99.155138.
Yang, Zhi-Cheng, Iadecola, Thomas, Chamon, Claudio, & Mudry, Christopher. Hierarchical Majoranas in a programmable nanowire network. United States. https://doi.org/10.1103/physrevb.99.155138
Yang, Zhi-Cheng, Iadecola, Thomas, Chamon, Claudio, and Mudry, Christopher. Fri .
"Hierarchical Majoranas in a programmable nanowire network". United States. https://doi.org/10.1103/physrevb.99.155138. https://www.osti.gov/servlets/purl/1609749.
@article{osti_1609749,
title = {Hierarchical Majoranas in a programmable nanowire network},
author = {Yang, Zhi-Cheng and Iadecola, Thomas and Chamon, Claudio and Mudry, Christopher},
abstractNote = {We propose a hierarchical architecture for building “logical” Majorana zero modes using “physical” Majorana zero modes at the Y-junctions of a hexagonal network of semiconductor nanowires. Each Y-junction contains three “physical” Majoranas, which hybridize when placed in close proximity, yielding a single effective Majorana mode near zero energy. The hybridization of effective Majorana modes on neighboring Y-junctions is controlled by applied gate voltages on the links of the honeycomb network. This gives rise to a tunable tight-binding model of effective Majorana modes. We show that selecting the gate voltages that generate a Kekule vortex pattern in the set of hybridization amplitudes yields an emergent “logical” Majorana zero mode bound to the vortex core. The position of a logical Majorana can be tuned adiabatically, without moving any of the “physical” Majoranas or closing any energy gaps, by programming the values of the gate voltages to change as functions of time. Furthermore, a nanowire network supporting multiple such “logical” Majorana zero modes provides a physical platform for performing adiabatic non-Abelian braiding operations in a fully controllable manner.},
doi = {10.1103/physrevb.99.155138},
journal = {Physical Review. B},
number = 15,
volume = 99,
place = {United States},
year = {Fri Apr 19 00:00:00 EDT 2019},
month = {Fri Apr 19 00:00:00 EDT 2019}
}
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Works referencing / citing this record:
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