Quantum oscillations in Weyl semimetals: A surface theory approach
Bibliographic record
Abstract
Weyl semimetals are characterized by an even number of bulk Weyl points and surface Fermi arcs connecting their surface projections. It has been shown that when a magnetic field is applied perpendicular to the surface, an unusual kind of quantum oscillations appear. Semiclassically, these oscillations are associated with electron motion in momentum space on the surface Fermi arcs as well as tunneling between the top and bottom surfaces through the bulk chiral Landau level. In this work, we develop an effective surface theory for Weyl semimetals by integrating out the bulk, leaving only the top and bottom infinite surfaces. We use our model to analyze the Landau level spectrum and compare the results with a full three-dimensional calculation as well as the semiclassical theory. We find that the surface theory is a good approximation for the three-dimensional model and agrees with the semiclassical analysis whenever the Weyl points are far from each other. We analytically analyze the case of overlapping Weyl points with short Fermi arcs and find an energy gap which appears as a phase shift in the quantum oscillations, in agreement with our numerics. We also study the case of a type-II Weyl semimetal and show that the absence of the bulk chiral Landau level prevents the formation of surface Landau levels.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.001 |
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".