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

Fuente: arXiv
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Main Authors: Woods, Benjamin D., Losert, Merritt P., Joynt, Robert, Friesen, Mark
Format: Preprint
Published: 2024
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author Woods, Benjamin D.
Losert, Merritt P.
Joynt, Robert
Friesen, Mark
author_facet Woods, Benjamin D.
Losert, Merritt P.
Joynt, Robert
Friesen, Mark
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_19795
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle g-factor theory of Si/SiGe quantum dots: spin-valley and giant renormalization effects
Woods, Benjamin D.
Losert, Merritt P.
Joynt, Robert
Friesen, Mark
Mesoscale and Nanoscale Physics
Quantum Physics
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.
title g-factor theory of Si/SiGe quantum dots: spin-valley and giant renormalization effects
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2412.19795