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Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires
Open accessAbstract
Under appropriate external conditions a semiconductor nanowire in proximity to an $s$-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire. However, the non-Abelian exchange statistics of Majorana fermions is difficult to verify because of the one-dimensional topology of such wires. In this paper we propose a scheme to transport Majorana fermions between the ends of different wires using tunneling, which is shown to be controllable by gate voltages. Such tunneling-generated hops of Majorana fermions can be used to exchange the Majorana fermions. The exchange process thus obtained is described by a non-Abelian braid operator that is uniquely determined by the well-controlled microscopic tunneling parameters.
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Citations
Cites
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
The Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
Sau, J. D., Lutchyn, R. M., Tewari, S., & Das Sarma, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.040502 · Cited by 1,940
Self-citationTeoria simmetrica dell’elettrone e del positrone
Majorana, E. (1937) · Il Nuovo Cimento · doi:10.1007/bf02961314 · Cited by 1,729
Universal quantum computation with ideal Clifford gates and noisy ancillas
Bravyi, S., & Kitaev, A. (2005) · Physical Review A · doi:10.1103/physreva.71.022316 · Cited by 1,525
Majorana fermions in a tunable semiconductor device
Alicea, J. (2010) · Physical Review B · doi:10.1103/physrevb.81.125318 · Cited by 1,205
Bravyi, S. B., & Kitaev, A. Y. (2002) · Annals of Physics · doi:10.1006/aphy.2002.6254 · Cited by 1,033
Wilczek, F. (2009) · Nature Physics · doi:10.1038/nphys1380 · Cited by 913
Cited by
Das, A., Ronen, Y., Most, Y., Oreg, Y., Heiblum, M., & Shtrikman, H. (2012) · Nature Physics · doi:10.1038/nphys2479 · Cited by 2,112
Topological superconductors: a review
Sato, M., & Ando, Y. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa6ac7 · Cited by 1,614
Majorana Fermions and Topology in Superconductors
Sato, M., & Fujimoto, S. (2016) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.85.072001 · Cited by 373
Flux-controlled quantum computation with Majorana fermions
Hyart, T., van Heck, B., Fulga, I. C., Burrello, M., Akhmerov, A. R., & Beenakker, C. W. J. (2013) · Physical Review B · doi:10.1103/physrevb.88.035121 · Cited by 346
Topological Quantum Computation—From Basic Concepts to First Experiments
Stern, A., & Lindner, N. H. (2013) · Science · doi:10.1126/science.1231473 · Cited by 342
Metadata
- Authors
- Sau, J. D., Clarke, D. J., & Tewari, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-09-12
- Volume
- 84
- Issue
- 9
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1797774115
- Cited by
- 219
- References
- 8
- FWCI
- 6.78
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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