Majorana bound states in a coupled quantum-dot hybrid-nanowire system

Majorana bound states in a coupled quantum-dot hybrid-nanowire system

Dated: January 6, 2017 | M. T. Deng, S. Vaitiekūnas, E. B. Hansen, J. Danon, M. Leijnse, K. Flensberg, J. Nygård, P. Krogstrup, C. M. Marcus
This study investigates the emergence of Majorana bound states (MBSs) in a coupled quantum-dot hybrid nanowire system. The research demonstrates that MBSs arise from the coalescence of Andreev bound states (ABSs) in an InAs nanowire with epitaxial Al, using a quantum dot at the end of the nanowire as a spectrometer. Electrostatic gating tunes the nanowire density to a regime with one or a few ABSs. In an applied axial magnetic field, a topological phase emerges where ABSs move to zero energy and remain there, forming MBSs. The study observes hybridization of the MBS with the end-dot bound state, consistent with numerical models. The ABS/MBS spectra provide parameters useful for understanding topological superconductivity in this system. Majorana bound states are anticipated to exhibit non-Abelian exchange statistics, providing a basis for naturally fault-tolerant topological quantum computing. Over the past two decades, the list of potential realizations of MBSs has expanded from even-denominator fractional quantum Hall states and p-wave superconductors to topological insulator-superconductor hybrid systems, semiconductor-superconductor (Sm-S) hybrid nanowire systems, and artificially engineered Kitaev chains. Sm-S hybrid systems have received particular attention due to ease of realization and high experimental control. Experimental signatures of MBS in Sm-S systems have been reported, typically consisting of zero-bias conductance peaks in tunneling spectra at finite magnetic fields. In a confined normal conductor-superconductor system, Andreev reflection gives rise to discrete electron-hole states below the superconducting gap—Andreev bound states (ABSs). Zero-energy MBSs in Sm-S hybrid nanowires can be understood as a robust merging of ABSs at zero energy, thanks to strong spin-orbit interaction. However, not all zero-energy ABSs are MBSs. In the non-topological or trivial phase, ABSs can move to zero energy at a particular Zeeman field, giving rise to a zero bias conductance peak, and then split again at higher fields, indicating a switch of fermion parity. In contrast, zero-energy MBSs in short wires may also split as a function of chemical potential or Zeeman field. The difference between topological MBSs in a finite-length wire and trivial ABSs is whether the states are localized at the wire ends. The study uses tunneling spectroscopy through quantum dots at the end of epitaxial hybrid Sm-S nanowires to investigate MBSs and their emergence from coalescing ABSs. The results show excellent agreement between experiment and numerical models. The epitaxial Sm-S interface induces a hard superconducting gap, while the partial coverage by the epitaxial superconductor allows tuning of the chemical potential and yields a high critical field, both crucial for realizing MBSs.This study investigates the emergence of Majorana bound states (MBSs) in a coupled quantum-dot hybrid nanowire system. The research demonstrates that MBSs arise from the coalescence of Andreev bound states (ABSs) in an InAs nanowire with epitaxial Al, using a quantum dot at the end of the nanowire as a spectrometer. Electrostatic gating tunes the nanowire density to a regime with one or a few ABSs. In an applied axial magnetic field, a topological phase emerges where ABSs move to zero energy and remain there, forming MBSs. The study observes hybridization of the MBS with the end-dot bound state, consistent with numerical models. The ABS/MBS spectra provide parameters useful for understanding topological superconductivity in this system. Majorana bound states are anticipated to exhibit non-Abelian exchange statistics, providing a basis for naturally fault-tolerant topological quantum computing. Over the past two decades, the list of potential realizations of MBSs has expanded from even-denominator fractional quantum Hall states and p-wave superconductors to topological insulator-superconductor hybrid systems, semiconductor-superconductor (Sm-S) hybrid nanowire systems, and artificially engineered Kitaev chains. Sm-S hybrid systems have received particular attention due to ease of realization and high experimental control. Experimental signatures of MBS in Sm-S systems have been reported, typically consisting of zero-bias conductance peaks in tunneling spectra at finite magnetic fields. In a confined normal conductor-superconductor system, Andreev reflection gives rise to discrete electron-hole states below the superconducting gap—Andreev bound states (ABSs). Zero-energy MBSs in Sm-S hybrid nanowires can be understood as a robust merging of ABSs at zero energy, thanks to strong spin-orbit interaction. However, not all zero-energy ABSs are MBSs. In the non-topological or trivial phase, ABSs can move to zero energy at a particular Zeeman field, giving rise to a zero bias conductance peak, and then split again at higher fields, indicating a switch of fermion parity. In contrast, zero-energy MBSs in short wires may also split as a function of chemical potential or Zeeman field. The difference between topological MBSs in a finite-length wire and trivial ABSs is whether the states are localized at the wire ends. The study uses tunneling spectroscopy through quantum dots at the end of epitaxial hybrid Sm-S nanowires to investigate MBSs and their emergence from coalescing ABSs. The results show excellent agreement between experiment and numerical models. The epitaxial Sm-S interface induces a hard superconducting gap, while the partial coverage by the epitaxial superconductor allows tuning of the chemical potential and yields a high critical field, both crucial for realizing MBSs.
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