Quantum Depinning Transition of Quantum Hall Stripes
Bibliographic record
Abstract
We examine the effect of disorder on the electromagnetic response of quantum Hall stripes using an effective elastic theory to describe their low-energy dynamics, and replicas and the Gaussian variational method to handle disorder effects. Within our model we demonstrate the existence of a depinning transition at a critical partial Landau level filling factor $\ensuremath{\Delta}{\ensuremath{\nu}}_{c}$. For $\ensuremath{\Delta}\ensuremath{\nu}<\ensuremath{\Delta}{\ensuremath{\nu}}_{c}$, the pinned state is realized in a replica symmetry breaking (RSB) solution, and the frequency-dependent conductivities both perpendicular and parallel to the stripes show resonant peaks. These peaks shift to zero frequency as $\ensuremath{\Delta}\ensuremath{\nu}\ensuremath{\rightarrow}\ensuremath{\Delta}{\ensuremath{\nu}}_{c}$. For $\ensuremath{\Delta}\ensuremath{\nu}\ensuremath{\ge}\ensuremath{\Delta}{\ensuremath{\nu}}_{c}$, we find a partial RSB solution in which there is free sliding only along the stripe direction. The transition is analogous to the Kosterlitz-Thouless phase transition.
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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".