SciPost Physics

SciPost Phys. 12, 161 (2022) · published 16 May 2022

• doi: 10.21468/SciPostPhys.12.5.161
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Abstract

A demonstration of the theoretically predicted non-abelian properties of Majorana bound states (MBSs) would constitute a definite proof of a topological superconducting phase. Alongside the nontrivial braiding statistics, the fusion rules are fundamental properties of all non-abelian anyons. In this work, we propose and theoretically analyze a way to demonstrate MBS fusion rules in a Majorana single-charge transistor. Our proposal reduces both the number of operations and the device complexity compared to previous designs. Furthermore, we show that the fusion protocol can be adapted to pump a quantized amount of charge in each cycle, providing a straightforward method to detect fusion rules through a DC current measurement. We analyze the protocol numerically and analytically and show that the required operational timescales and expected measurement signals are within experimental capabilities in various superconductor-semiconductor hybrid platforms.

• Escribano et al., Semiconductor-ferromagnet-superconductor planar heterostructures for 1D topological superconductivity
  npj Quantum Mater. 7, 81 (2022) [Crossref]
• Kleinherbers et al., Full counting statistics in a Majorana single-charge transistor
  Phys. Rev. B 107, 195407 (2023) [Crossref]
• Liu et al., Roadmap of the iron-based superconductor Majorana platform
  Sci. China Phys. Mech. Astron. 66, 267002 (2023) [Crossref]
• Tsintzis et al., Majorana Qubits and Non-Abelian Physics in Quantum Dot–Based Minimal Kitaev Chains
  PRX Quantum 5, 010323 (2024) [Crossref]
• Tsintzis et al., Creating and detecting poor man's Majorana bound states in interacting quantum dots
  Phys. Rev. B 106, L201404 (2022) [Crossref]
• Liu et al., Fusion protocol for Majorana modes in coupled quantum dots
  Phys. Rev. B 108, 085437 (2023) [Crossref]
• Souto et al., Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
  Phys. Rev. B 106, 235425 (2022) [Crossref]
• Bai et al., Probing the non-Abelian fusion of a pair of Majorana zero modes
  Phys. Rev. B 109, 085403 (2024) [Crossref]
• Wang et al., Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
  Phys. Rev. B 110, 115402 (2024) [Crossref]
• Schiela et al., Progress in Superconductor-Semiconductor Topological Josephson Junctions
  PRX Quantum 5, 030102 (2024) [Crossref]
• Marra, Majorana nanowires for topological quantum computation
  132, 231101 (2022) [Crossref]
• Nitsch et al., Transport-based fusion that distinguishes between Majorana and Andreev bound states
  Phys. Rev. B 109, 165404 (2024) [Crossref]
• Awoga et al., Controlling Majorana hybridization in magnetic chain-superconductor systems
  Phys. Rev. Research 6, 033154 (2024) [Crossref]
• Razmadze et al., Supercurrent transport through 1e -periodic full-shell Coulomb islands
  Phys. Rev. B 109, L041302 (2024) [Crossref]
• Seoane Souto et al.,
  1025, 133 (2024) [Crossref]