English

Two-electron spectrum of a silicon quantum dot

Mesoscale and Nanoscale Physics 2026-03-26 v1

Abstract

The energy spectrum and wave functions of electrons in a single silicon quantum dot provide valuable insights into the capabilities and limitations of such a system in quantum information processing. Here we investigate the low-lying singlet and triplet configurations and spectra in a two-electron silicon quantum dot. To build toward a comprehensive understanding, we first examine the competition between Coulomb interaction and electron kinetic and confinement energy in the absence of valley-orbit coupling, as well as consequences of valley blockade in the presence of an ideal smooth interface. For realistic interfaces the variations in the magnitude and phase of valley-orbit coupling lead to inter-valley leakage, particularly when orbital splittings approach the valley splitting. In our study we particularly focus on the impact on the compositions of low-lying singlets and triplets. We find that for experimentally relevant parameter regimes the ground singlet and triplet states usually contain multiple configurations with significant weights as a result of a complicated competition among valley-orbit coupling, confinement potential, and Coulomb interaction. We further analyze the effects of an out-of-plane magnetic field on these the two-electron spectra. Our findings could have important implications for spin qubits in Si quantum dot in various contexts, such as qubit encoding and spin measurement.

Keywords

Cite

@article{arxiv.2603.23952,
  title  = {Two-electron spectrum of a silicon quantum dot},
  author = {Bilal Tariq and Xuedong Hu},
  journal= {arXiv preprint arXiv:2603.23952},
  year   = {2026}
}
R2 v1 2026-07-01T11:36:45.639Z