Long-distance coherence of Majorana wires
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Long-distance coherence of Majorana wires. / Shi, Zheng; Brouwer, Piet W.; Flensberg, Karsten; Glazman, Leonid; von Oppen, Felix.
In: Physical Review B, Vol. 101, No. 24, 241414, 26.06.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Long-distance coherence of Majorana wires
AU - Shi, Zheng
AU - Brouwer, Piet W.
AU - Flensberg, Karsten
AU - Glazman, Leonid
AU - von Oppen, Felix
PY - 2020/6/26
Y1 - 2020/6/26
N2 - 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 [L. Fu, Phys. Rev. Lett. 104, 056402 (2010)], 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. 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.
AB - 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 [L. Fu, Phys. Rev. Lett. 104, 056402 (2010)], 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. 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.
U2 - 10.1103/PhysRevB.101.241414
DO - 10.1103/PhysRevB.101.241414
M3 - Journal article
VL - 101
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 24
M1 - 241414
ER -
ID: 247026685