Gate-controlled anyon generation and detection in Kitaev spin liquids

Gábor B. Halász

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arXiv · 2308.05154

Gate-controlled anyon generation and detection in Kitaev spin liquids

Gábor B. Halász

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Abstract

Reliable manipulation of non-Abelian Ising anyons supported by Kitaev spin liquids may enable intrinsically fault-tolerant quantum computation. Here, we introduce a standalone scheme for both generating and detecting individual Ising anyons using tunable gate voltages in a heterostructure containing a non-Abelian Kitaev spin liquid and a monolayer semiconductor. The key ingredients of our setup are a Kondo coupling to stabilize an Ising anyon in the spin liquid around each electron in the semiconductor, and a large charging energy to allow control over the electron numbers in distinct gate-defined regions of the semiconductor. In particular, a single Ising anyon can be generated at a disk-shaped region by gate tuning its electron number to one, while it can be interferometrically detected by measuring the electrical conductance of a ring-shaped region around it whose electron number is allowed to fluctuate between zero and one. We provide concrete experimental guidelines for implementing our proposal in promising candidate materials like $\alpha$-RuCl$_3$.

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Gábor B. Halász. 2023-08-09. Gate-controlled anyon generation and detection in Kitaev spin liquids. https://arxiv.org/abs/2308.05154

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