2022

Progress on quantized conductance for zero bias peaks in Majorana nanowires

2022-10-15  

A semiconductor nanowire coupled to a superconductor could host Majorana zero modes. Therefore, these hybrid nanowires are often dubbed “Majorana nanowires” in literature. One major prediction of Majorana theory is a quantized zero-bias peak (ZBP) in tunneling conductance. Until recently, this signature was believed to be the “smoking gun” evidence of Majoranas. Theory developments in recent years have proposed an alternative mechanism based on a special type of Andreev bound states. This state, which can be decomposed into two Majoranas, could also lead to quantized ZBPs if the tunnel barrier region meets certain requirements. The quantization mechanism for the two cases are similar: the zero-bias conductance is solely contributed by one Majorana while the second Majorana is decoupled. Since this alternative state could mimic true Majoranas in transport or even braiding experiments, it is often dubbed “quasi-Majoranas” in literature.

Recently, an experimental team lead by Hao Zhang and together with collaborators have significantly improved the InAs-Al nanowire device quality, and observed ZBPs quantized at 2e2/h with 5% tolerance (see the figure below). Sweeping three experimental parameters (magnetic field and two gate voltages) can all resolve a plateau near the quantized value. The observation is consistent with Majoranas or quasi-Majoranas. They publish their work entitled “Plateau regions for zero-bias peaks within 5% of the quantized conductance value 2e2/h” in Physical Review Letters. Zhaoyu Wang, Dr. Huading Song, Prof. Dong Pan and Zitong Zhang are the first authors. Prof. Jianhua Zhao, Dr. Huading Song and Prof. Hao Zhang are the corresponding authors.

(a) Device SEM. (b) ZBPs in magnetic field and gate scans. Lower, zero-bias line cuts. (c) Waterfall plot of a ZBP in a magnetic field scan.

Further lowering the tunnel barrier can push the conductance at finite bias above 2e2/h, but the zero-bias conductance could still stick to the quantized value due to the spin selection of Majoranas or quasi-Majoranas. This barrier-tuning will reveal a quantized zero-bias peak-to-dip transition, presumably by sweeping the gate voltage near the tunnel barrier. See the figure below (panel a) a sketch for the transition, image taken from Zhang et al, Nature Communications 10, 5128 (2019). In a separate work, the team observes a magnetic-field-driven zero-bias peak-to-dip transition near 2e2/h (see panel (b)). They publish their work entitled “Large zero bias peaks and dips in a four-terminal thin InAs-Al nanowire device” in Physical Review Research. Dr. Huading Song, Zitong Zhang and Prof. Dong Pan are the first authors. Prof. Runan Shang, Prof. Jianhua Zhao and Prof. Hao Zhang are the corresponding authors.

The two works above are based on ultrathin InAs-Al hybrid nanowires. The thinness of InAs diameter is aiming for reaching the single subband regime. These hybrid nanowires were grown by the team of Prof. Jianhua Zhao at Institute of Semiconductors, Chinese Academy of Sciences. Zhang group calibrated the hard superconducting proximity gap and 2e-Cooper-pair Coulomb blockade (see panel (c)). This work, entitled “In situ epitaxy of pure phase ultra-thin InAs-Al nanowires for quantum devices”, is published in Chinese Physics Letters. Prof. Dong Pan, Dr. Huading Song and Dr. Shan Zhang are the first authors. Prof. Hao Zhang and Prof. Jianhua Zhao are the corresponding authors. Other major collaborators of this series of works are Prof. Dong E. Liu, Prof. Ke He, Dr. Zhan Cao and Dr. Gu Zhang.

(a) Schematic of a Majroana device (upper) and quantized peak-to-dip transition (lower). (b) Device SEM (upper) and magnetic-field-driven peak-to-dip transition near 2e2/h. (c) SEM and TEM of ultrathin InAs-Al nanowires (upper) and hard superconducting gap and 2e Coulomb blockade (lower).

These works are supported by Tsinghua University Initiative Scientific Research Program, Frontier Science Center for Quantum Information, National Natural Science Foundation of China, Beijing Natural Science Foundation and Alibaba Innovative Research Program.

Paper links:

https://link.aps.org/doi/10.1103/PhysRevLett.129.167702

https://link.aps.org/doi/10.1103/PhysRevResearch.4.033235

http://cpl.iphy.ac.cn/Y2022/V39/I5/058101