2D Electron Gas at Arbitrary Spin Polarizations and Coupling Strengths: Exchange-Correlation Energies, Distribution Functions, and Spin-Polarized Phases
Bibliographic record
Abstract
We use the classical mapping of quantum fluids [Phys. Rev. Lett. 84, 959 (2000)] for a study of the uniform 2D electron gas. The "quantum temperature" T(q) of the classical 2D Coulomb fluid having the same correlation energy E(c) as the quantum fluid is determined as a function of the density parameter r(s). Using this T(q), spin-dependent pair-distribution functions are determined, and an analytic fit to the E(c) is given. The T(q) for 2D and 3D electron fluids is found to be approximately the same universal function of the classical coupling constant Gamma. The coupling Gamma increases more rapidly with density in 2D; hence, we present a scheme for including bridge terms in the 2D hypernetted-chain method. The Helmholtz free energies of the spin-polarized and unpolarized phases are calculated, and the existence of a ferromagnetic phase near r(s) approximately 30 is found to be a marginal possibility.
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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) | 0.000 | 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".