Long-distance coherence of Majorana wires

Shi, Zheng; Brouwer, Piet W.; Flensberg, Karsten; Glazman, Leonid I.; von Oppen, Felix

doi:10.1103/physrevb.101.241414

Long-distance coherence of Majorana wires

Journal Article · Fri Jun 26 00:00:00 EDT 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.101.241414· OSTI ID:1800570

^[1]; Brouwer, Piet W. ^[2]; ^[3]; Glazman, Leonid I. ^[4]; von Oppen, Felix ^[2]

Freie Univ., Berlin (Germany); OSTI
Freie Univ., Berlin (Germany)
Freie Univ., Berlin (Germany); Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
Yale Univ., New Haven, CT (United States)

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance coherence for electrons tunneling through a Coulomb-blockaded Majorana wire, an effect that can be observed, e.g., in an interferometer. Here, we examine theoretically the coherent electron transfer, taking into account that tunneling implies the long-distance transfer of charge, which is carried by one-dimensional plasmons. In this work, we show that the charge dynamics does not affect the coherence of the electron tunneling process in a topological superconductor consisting of a semiconductor wire proximitized by a single bulk superconductor. The coherence may be strongly suppressed, however, if the topological superconductivity derives from a semiconductor wire proximitized by a granular superconductor.

View Accepted Manuscript (DOE)

Research Organization:: Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: Danish National Research Foundation (DNRF); Deutsche Forschungsgemeinschaft (DFG); Independent Research Fund Denmark; USDOE Office of Science (SC)

Grant/Contract Number:: FG02-08ER46482

OSTI ID:: 1800570

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 24 Vol. 101; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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