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g-factor theory of Si/SiGe quantum dots: spin-valley and giant renormalization effects

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arxiv 2412.19795 v1 pith:34SY7W3L submitted 2024-12-27 cond-mat.mes-hall quant-ph

g-factor theory of Si/SiGe quantum dots: spin-valley and giant renormalization effects

classification cond-mat.mes-hall quant-ph
keywords factorquantumsigedotsgiantherephysicsrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Understanding the $g$-factor physics of Si/SiGe quantum dots is crucial for realizing high-quality spin qubits. While previous work has explained some aspects of $g$-factor physics in idealized geometries, the results do not extend to general cases and they miss several important features. Here, we construct a theory that gives $g$ in terms of readily computable matrix elements, and can be applied to all Si/SiGe heterostructures of current interest. As a concrete example, which currently has no $g$-factor understanding, we study the so-called Wiggle Well structure, containing Ge concentration oscillations inside the quantum well. Here we find a significant renormalization of the $g$-factor compared to conventional Si/SiGe quantum wells. We also uncover a giant $g$-factor suppression of order $\mathcal{O}(1)$, which arises due to spin-valley coupling, and occurs at locations of low valley splitting. Our work therefore opens up new avenues for $g$-factor engineering in Si/SiGe quantum dots.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Mapping g-factors and complex intervalley coupling in Si/SiGe by conveyor-mode shuttling

    quant-ph 2026-03 conditional novelty 7.0

    Entangled-pair conveyor shuttling yields a 2D g-factor map of Si/SiGe quantum dots with two anticorrelated valley components, enabling the first lateral reconstruction of the complex intervalley coupling.

  2. Using a spin-triplet encoding to enhance shuttling fidelities in Si/SiGe quantum wells

    cond-mat.mes-hall 2026-05 unverdicted novelty 6.0

    A spin-triplet encoding based on valley-singlet states makes shuttling fidelities in Si/SiGe quantum wells higher and more robust to small valley splittings by suppressing Landau-Zener excitations.

  3. Micromagnet-free operation of electron spin qubits in Si/Si$_{1-x}$Ge$_x$ vertical double quantum dots

    cond-mat.mes-hall 2025-12 conditional novelty 6.0

    A Si/SiGe vertical double quantum dot is predicted to give large valley splitting and gate-tunable g-factors, enabling micromagnet-free electrical spin qubit control.

  4. Singlet-triplet oscillations in multivalley Si double quantum dots

    cond-mat.mes-hall 2026-04 unverdicted novelty 5.0

    Theoretical expressions for singlet return probability in multivalley Si double quantum dots near spin-valley resonances are derived, accounting for valley occupations, and validated against experiments to map valley ...