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Cited by 186

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Probability Distribution of Majorana End-State Energies in Disordered Wires

Open access
Brouwer, Piet W., Duckheim, Mathias, Romito, Alessandro, von Oppen, Felix·2011·Physical Review Letters

Abstract

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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Metadata

Authors
Brouwer, P. W., Duckheim, M., Romito, A., & von Oppen, F.
Venue
Physical Review Letters
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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CoChat. (2026). Citation check: Probability Distribution of Majorana End-State Energies in Disordered Wires. https://app.cochat.ai/papers/10.1103/physrevlett.107.196804
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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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