Theory of a two-level artificial molecule in laterally coupled quantum Hall droplets
Bibliographic record
Abstract
We present a theory of laterally coupled quantum Hall droplets with electron numbers $({N}_{1},{N}_{2})$ at filling factor $\ensuremath{\nu}=2$. We show that the edge states of each droplet are tunnel-coupled and form a two-level artificial molecule. By populating the edge states with one electron each a two-electron molecule is formed. We predict the singlet-triplet transitions of the effective two-electron molecule as a function of the magnetic field, the number of electrons, and the confining potential using the configuration interaction method coupled with the unrestricted Hartree-Fock basis. In addition to the singlet-triplet transitions of a two-electron molecule involving edge states, triplet transitions involving transfer of electrons to the center of individual dots exist for (${N}_{1}\ensuremath{\geqslant}5$, ${N}_{2}\ensuremath{\geqslant}5$).
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".