Observation of Magnetic Pseudogap Behavior in Phosphorus‐Doped Silicon
Bibliographic record
Abstract
Abstract The recent discovery of a Kondo condensate in phosphorus‐doped silicon (Si:P) presents its significant potential for achieving novel many‐body quantum states. Si:P exhibits Kondo condensation, characterized by an energy gap in the electronic density of states, while the precise nature of its magnetic state has yet to be determined. Here, we utilize electron and muon spin resonance (ESR and µ SR) techniques, optical spectroscopy, and specific heat measurements to unravel the magnetic ground state and spin dynamics of Si:P. Both optical and ESR spectroscopy reveal the onset of spin correlations below 150 K. Furthermore, the muon spin relaxation rate exhibits a power‐law increase, λ ZF ∼ T −0.26(5) , below T KC ≈ 0.2 K, indicating the emergence of critical spin fluctuations within the Kondo condensate state. Strikingly, the concomitant occurrence of a Bardeen‐Cooper‐Schrieffer‐like charge gap and power‐law magnetic fluctuations closely parallels the pseudogap phases observed in doped Mott insulators. These findings evince that the critical spin fluctuations of the Kondo condensate state act as a driving force for pseudogap formation within inhomogeneous Kondo clouds.
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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".