Using a high-fidelity numerical model to infer the shape of a few-hole Ge quantum dot

• URL: http://arxiv.org/abs/2408.14422v1
• Date: Mon, 26 Aug 2024 17:08:40 GMT
• Title: Using a high-fidelity numerical model to infer the shape of a few-hole Ge quantum dot
• Authors: Mitchell Brickson, N. Tobias Jacobson, Andrew J. Miller, Leon N. Maurer, Tzu-Ming Lu, Dwight R. Luhman, Andrew D. Baczewski,
• Abstract summary: We show that the split-off band, surrounding SiGe layers, and hole-hole interactions have a strong influence on calculations of the effective $g$ factor of a lithographic quantum dot in a Ge/SiGe heterostructure.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The magnetic properties of hole quantum dots in Ge are sensitive to their shape due to the interplay between strong spin-orbit coupling and confinement. We show that the split-off band, surrounding SiGe layers, and hole-hole interactions have a strong influence on calculations of the effective $g$ factor of a lithographic quantum dot in a Ge/SiGe heterostructure. Comparing predictions from a model including these effects to raw magnetospectroscopy data, we apply maximum-likelihood estimation to infer the shape of a quantum dot with up to four holes. We expect that methods like this will be useful in assessing qubit-to-qubit variability critical to further scaling quantum computing technologies based on spins in semiconductors.

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