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Distinguishing a Majorana zero mode using spin resolved measurements (1710.04662v1)

Published 12 Oct 2017 in cond-mat.mes-hall and cond-mat.supr-con

Abstract: One-dimensional topological superconductors host Majorana zero modes (MZMs), the non-local property of which could be exploited for quantum computing applications. Spin- polarized scanning tunneling microscopy measurements show that MZMs realized in self- assembled Fe chains on the surface of Pb have a spin polarization that exceeds that due to the magnetism of these chains. This feature, captured by our model calculations, is a direct consequence of the nonlocality of the Hilbert space of MZMs emerging from a topological band structure. Our study establishes spin polarization measurements as a diagnostic tool to uniquely distinguish topological MZMs from trivial in-gap states of a superconductor.

Citations (218)

Summary

  • The paper introduces spin-resolved STM as a diagnostic tool to distinguish Majorana zero modes from trivial in-gap states.
  • It reveals that MZMs exhibit unique spin polarization, including a characteristic 'double-eye' signature, that exceeds predictions from standard magnetic impurity models.
  • The study provides experimental foundations that enhance the development of topological quantum computing by validating non-Abelian MZM features.

Distinguishing Majorana Zero Modes via Spin-Resolved Measurements

The paper under discussion, "Distinguishing a Majorana zero mode using spin resolved measurements," presents significant advancements in the endeavor to discern Majorana zero modes (MZMs) within one-dimensional topological superconductors using spin-resolved scanning tunneling microscopy (STM). The authors, Jeon et al., introduce an innovative experimental technique demonstrating the unique spin-polarized characteristics of MZMs located on self-assembled iron (Fe) chains atop a lead (Pb) substrate. This research holds pertinence for topological quantum computing, where MZMs are anticipated as fundamental building blocks due to their non-Abelian statistics.

Main Findings

The central objective of the paper was to determine a diagnostic measure that could effectively distinguish MZMs from trivial in-gap states that also manifest at zero energy, which complicates the identification of MZMs in superconducting systems. The authors achieved this through spin-polarized STM measurements that reveal unique spin signatures indicating the non-local nature of MZMs. Notably, they observed that the spin polarization associated with MZMs exceeds that predicted merely by considering the magnetic characteristics of the Fe chains. This phenomenon is linked to the topological nature of these states, arising from the non-trivial band structure coupling in the Pb substrate.

Key experimental results include high-resolution mappings of conductance at zero bias, showing distinct spin contrast localized at chain ends. The spatial configuration dubbed as "double-eye" was particularly telling of the MZM signature. In contrasting the experimental observations with theoretical models, Jeon et al. highlighted that trivial Shiba states, induced by magnetic impurities, exhibit an antisymmetric spin polarization contributing no spin contrast at zero energy—a feature absent in MZMs, thereby distinguishing these two phenomena.

Theoretical Implications

The theoretical implications revolve around the noteworthy correlation between the spin polarization measurements and the model calculations, which predict that MZMs should induce a spin polarization beyond that of the normal electronic states. Specifically, the MZM exhibits this polarization by being part of a spin-split band crossing the Fermi level, an insight captured by their sophisticated hybrid superconductor-magnetic chain models. Such insights furnish tools for the future engineering and testing of topological quantum systems, providing clarity in characteristics to be expected from true MZMs versus those from trivial states.

Practical Implications and Future Directions

Practically, these findings bolster the potential for harnessing spin polarization as a litmus for identifying MZMs in quantum computing applications. The ability to differentiate MZMs from trivial localized states using spin-resolved STM paves the way for more focused experimental setups and interpretations in condensed matter physics and quantum information fields. It further accentuates the possibility of utilizing MZMs for producing spin-polarized currents, which could interface innovatively with other quantum systems like spin qubits. This integration could culminate in hybrid quantum computing systems poised to exceed the limitations faced by current conventional approaches.

The future trajectory of this research suggests examining other platforms, like semiconductor nanowires, under similar spin-polarized measurements to uncover whether analogous distinctions between trivial and non-trivial states persist. Additionally, leveraging the robust spin polarization characteristics of MZMs could enable quantum entanglement with conventional spins, laying the groundwork for broader computational techniques in quantum networks.

In conclusion, the reported spin-polarized STM measurements deliver clear differentiation between MZMs and trivial states, thereby fulfilling a critical need in topological quantum computing. This delineation forms a concrete step in translating theoretical models to experimental verifications, marking significant progress in the understanding and application of MZMs in advanced quantum technologies.

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