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Probability Distribution of Majorana End-State Energies in Disordered Wires
Open accessAbstract
One-dimensional topological superconductors harbor Majorana bound states at their ends. For superconducting wires of finite length L, these Majorana states combine into fermionic excitations with an energy ε(0) that is exponentially small in L. Weak disorder leaves the energy splitting exponentially small, but affects its typical value and causes large sample-to-sample fluctuations. We show that the probability distribution of ε(0) is log normal in the limit of large L, whereas the distribution of the lowest-lying bulk energy level ε(1) has an algebraic tail at small ε(1). Our findings have implications for the speed at which a topological quantum computer can be operated.
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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
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
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
Cited by
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices
Mourik, V., Zuo, K., Frolov, S. M., Plissard, S. R., Bakkers, E. P. A. M., & Kouwenhoven, L. P. (2012) · Science · doi:10.1126/science.1222360 · Cited by 4,163
Majorana zero modes and topological quantum computation
Sarma, S. D., Freedman, M., & Nayak, C. (2015) · npj Quantum Information · doi:10.1038/npjqi.2015.1 · Cited by 1,180
Floquet generation of Majorana end modes and topological invariants
Thakurathi, M., Patel, A. A., Sen, D., & Dutta, A. (2013) · Physical Review B · doi:10.1103/physrevb.88.155133 · Cited by 261
Realizing a robust practical Majorana chain in a quantum-dot-superconductor linear array
Sau, J. D., & Sarma, S. D. (2012) · Nature Communications · doi:10.1038/ncomms1966 · Cited by 260
Metadata
- Authors
- Brouwer, P. W., Duckheim, M., Romito, A., & von Oppen, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-11-01
- Volume
- 107
- Issue
- 19
- Pages
- 196804-196804
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2095285033
- Cited by
- 186
- References
- 3
- FWCI
- 8.52
- Type
- journal article
- Language
- en
- Open access
- green
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- Brouwer, P. W., Duckheim, M., Romito, A., & von Oppen, F. (2011). Probability Distribution of Majorana End-State Energies in Disordered Wires. Physical Review Letters. https://doi.org/10.1103/physrevlett.107.196804
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