Influence of Aharonov–Bohm flux and dual gaps on electron scattering in graphene quantum dots
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Bibliographic record
Abstract
Abstract We show how the Aharonov–Bohm flux (AB) ϕ i and the dual gaps (Δ 1 , Δ 2 ) can affect the electron scattering in graphene quantum dots (GQDs) of radius r 0 in the presence of an electrostatic potential V . After obtaining the solutions of the energy spectrum, we explicitly determine the radial component of the reflected current <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>J</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> </mml:msubsup> </mml:math> , the square modulus of the scattering coefficients ∣ c m ∣ 2 , and the scattering efficiency Q . Different scattering regimes are identified based on physical parameters such as incident energy E , V , r 0 , dual gaps, and ϕ i . In particular, we show that lower values of E are associated with larger amplitudes of Q . Furthermore, it is found that Q exhibits a damped oscillatory behavior with increasing the AB flux. In addition, increasing the external gap Δ 1 resulted in higher values of Q . By increasing ϕ i , we show that the oscillations in ∣ c m ∣ 2 disappear for larger values of r 0 and are replaced by prominent peaks at certain values of E and angular momentum m . Finally, we show that <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>J</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> </mml:msubsup> </mml:math> displays periodic oscillations of constant amplitude, which are affected by the AB flux.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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 it