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Instead, we find that the best number is the sub-quantum number n<jats:sub>z<\/jats:sub> of the conduction z channel. When the number of electrons in n<jats:sub>z<\/jats:sub> is charged to be even and the number of electrons excited in the n<jats:sub>x<\/jats:sub> and n<jats:sub>y<\/jats:sub> are also even at two, the adding of the third electron into the easy n<jats:sub>x<\/jats:sub>\/n<jats:sub>y<\/jats:sub> channels creates a weak symmetry breaking in the parity conserved x-y plane to assist the indirect tunnel of electrons. A comprehensive model that incorporates the interactions of electron-electron, spin-spin, electron-phonon, and electron-hole is proposed to explain how the excited even electrons can be stabilized in the electric-field driving channel. Quantum selection rules with hierarchy for the n<jats:sub><jats:italic>i<\/jats:italic><\/jats:sub> (<jats:italic>i<\/jats:italic>\u2009=\u2009x, y, z) and N\u2009=\u2009\u03a3n<jats:sub><jats:italic>i<\/jats:italic><\/jats:sub> are tabulated to prove the superiority of n<jats:sub>z<\/jats:sub> over N.<\/jats:p>","DOI":"10.1038\/s41598-019-56256-7","type":"journal-article","created":{"date-parts":[[2019,12,27]],"date-time":"2019-12-27T11:02:42Z","timestamp":1577444562000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Symmetry selected quantum dynamics of few electrons in nanopillar transistors"],"prefix":"10.1038","volume":"9","author":[{"given":"Yue-Min","family":"Wan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Heng-Tien","family":"Lin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,12,27]]},"reference":[{"key":"56256_CR1","doi-asserted-by":"crossref","unstructured":"Grabert, H & Devoret, M. 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