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arXiv · 2305.09284

Impact of competing energy scales on the shell-filling sequence in elliptic bilayer graphene quantum dots

Abstract

We report on a detailed investigation of the shell-filling sequence in electrostatically defined elliptic bilayer graphene quantum dots (QDs) in the regime of low charge carrier occupation, $N \leq 12$, by means of magnetotransport spectroscopy and numerical calculations. We show the necessity of including both short-range electron-electron interaction and wavefunction-dependent valley g-factors for understanding the overall fourfold shell-filling sequence. These factors lead to an additional energy splitting at half-filling of each orbital state and different energy shifts in out-of-plane magnetic fields. Analysis of 31 different BLG QDs reveals that both valley g-factor and electron-electron interaction induced energy splitting increase with decreasing QD size, validating theory. However, we find that the electrostatic charging energy of such gate-defined QDs does not correlate consistently with their size, indicating complex electrostatics. These findings offer significant insights for future BLG QD devices and circuit designs.

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Samuel Möller, Luca Banszerus, Angelika Knothe, Lucca Valerius, Katrin Hecker, Eike Icking, Kenji Watanabe, Takashi Taniguchi, Christian Volk, Christoph Stampfer. 2023-05-16. Impact of competing energy scales on the shell-filling sequence in elliptic bilayer graphene quantum dots. https://doi.org/10.1103/physrevb.108.125128

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