Modelling of planar germanium hole qubits in electric and magnetic fields

• URL: http://arxiv.org/abs/2208.04795v2
• Date: Wed, 28 Aug 2024 16:29:14 GMT
• Title: Modelling of planar germanium hole qubits in electric and magnetic fields
• Authors: Chien-An Wang, Ercan Ekmel, Mark Gyure, Giordano Scappucci, Menno Veldhorst, Maximilian Rimbach-Russ,
• Abstract summary: Hole-based spin qubits in strained planar germanium quantum wells have received considerable attention. We perform simulations of a heterostructure hosting these hole spin qubits. We find that sweet spots, points of operations that are least susceptible to charge noise, for out-of-plane magnetic fields are shifted to impractically large electric fields.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Hole-based spin qubits in strained planar germanium quantum wells have received considerable attention due to their favourable properties and remarkable experimental progress. The sizeable spin-orbit interaction in this structure allows for efficient qubit operations with electric fields. However, it also couples the qubit to electrical noise. In this work, we perform simulations of a heterostructure hosting these hole spin qubits. We solve the effective mass equations for a realistic heterostructure, provide a set of analytical basis wave functions, and compute the effective g-factor of the heavy-hole ground-state. Our investigations reveal a strong impact of highly excited light-hole states located outside the quantum well on the g-factor. We find that sweet spots, points of operations that are least susceptible to charge noise, for out-of-plane magnetic fields are shifted to impractically large electric fields. However, for magnetic fields close to in-plane alignment, partial sweet spots at low electric fields are recovered. Furthermore, sweet spots with respect to multiple fluctuating charge traps can be found under certain circumstances for different magnetic field alignments. This work will be helpful in understanding and improving coherence of germanium hole spin qubits.

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