Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions - INSPIRE

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Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions

Feb 16, 2024

9 pages

Published in:

Phys.Rev.B 110 (2024) 11, 115402

Published: Sep 3, 2024

e-Print:

2402.10495 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevB.110.115402 (publication)

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Abstract: (APS)

We perform simulations for transport and nontrivial fusion of Majorana zero modes in topological superconducting quantum wires. We uncover interesting behaviors of nonadiabatic transition associated with the transport through mini-gate-controlled multiple-segment modulations. Owing to breaking of the initial fermion parity induced by nonadiabatic transitions, a deviation from the statistics of outcomes of nontrivial fusion arises and is analyzed. Moreover, we develop a measurement scheme to infer the amount of fermion parity breaking and nonadiabatic transition probability to excited states, based on the characteristic spectrum of measurement current by a quantum-point-contact detector, by measurement of the charge occupation dynamics in a fusion-outcome-probing quantum dot.

Note:

9 pages, 6 figures

References(38)

Figures(6)

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