Symmetries, interactions and phase transitions on graphene honeycomb lattice
Bibliographic record
Abstract
Graphene, a monolayer of graphite, opened a new frontier in physics with reduced dimen- sionality. Due to the Dirac nature of the quasi particles it exhibits interesting experimental phenomena. It is believed that electron-electron interac- tions also play important role in graphene. We derive here a generalized theory of short ranged interactions consistent with the various discrete symmetries present on the lattice. Restrictions on the theory imposed by the atomic limit are also discussed. Within the framework of this model we calculated the beta functions governing the renormalization flow of the couplings to sub-leading order in 1/N. Our calculations show that charge den- sity wave and anti-ferromagnetic quantum critical points are in the Gross-Neveu universality class even beyond mean-field level. Thereafter we use the extended Hubbard model to extract the phase diagram. It shows that the semimetallic ground state is stabilized once we include corrections to sub-leading order in 1/N.
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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 | 0.001 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 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 | 0.001 |
| 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".