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Scanning Tunneling Microscopy as a Single Majorana Detector of Kitaev's Chiral Spin Liquid

MPS-Authors
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Udagawa,  Masafumi
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Takayoshi,  Shintaro
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Oka,  Takashi
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2008.07399.pdf
(Preprint), 730KB

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Citation

Udagawa, M., Takayoshi, S., & Oka, T. (2021). Scanning Tunneling Microscopy as a Single Majorana Detector of Kitaev's Chiral Spin Liquid. Physical Review Letters, 126(12): 127201. doi:10.1103/PhysRevLett.126.127201.


Cite as: https://hdl.handle.net/21.11116/0000-0008-A5F4-A
Abstract
We propose a local detection scheme for the Majorana zero mode (MZM) carried by a vison in Kitaev's chiral spin liquid (CSL) using scanning tunneling microscopy (STM). The STM introduces a single Majorana into the system through hole-charge injection and the Majorana interacts with the MZM to form a stable composite object. We derive the exact analytical expression of single-hole Green's function in the Mott insulating limit of Kitaev's model, and show that the differential conductance has split peaks, as a consequence of resonant tunneling through the vison-hole composite. The peak splitting turns out comparable to the Majorana gap in CSL, well within the reach of experimental observation.