Pfaffian state in an electron gas with small Landau level gaps
Bibliographic record
Abstract
Landau level mixing plays an important role in the even denominator fractional quantum Hall states. In ZnO the Landau level gap is essentially an order of magnitude smaller than that in a GaAs quantum well. We introduce the screened Coulomb interaction in a single Landau level to deal with that situation. Here we study the incompressibility and the overlap of the ground state and the Pfaffian (or anti-Pfaffian) state at filling factors $\frac{5}{2}$ and $\frac{7}{2}$ with a general screened Coulomb interaction. For small Landau level gaps, the overlap is strongly system size dependent and the screening can stabilize the incompressibility of the ground state with particle-hole symmetry which suggests a newly proposed particle-hole symmetry Pfaffian ground state. When the ratio of Coulomb interaction to the Landau level gap $\ensuremath{\kappa}$ varies, we find a possible topological phase transition in the range $2<\ensuremath{\kappa}<3$, which was actually observed in an experiment. We then study how the width of quantum well combined with screening influences the system.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".