Altshuler-Aronov effects in nonequilibrium disordered nanostructures
Bibliographic record
Abstract
The Altshuler-Aronov (AA) effect is one of the most basic quantum many-body effects in the mesoscopic regime. It originates from the coexistence of disorder and electron-electron interaction. In this paper, we reformulate the Feynman diagrammatic theory of the AA effect in a real-space nonequilibrium Green's function framework, in which an effective medium technique (via coherent potential) is employed to evaluate disorder-induced vertices in the diagrams. As such the developed real-space formalism is compatible with the prevailing nanodevice simulation paradigm, leading to an effective numerical approach to calculating the AA effects on electronic structures and quantum transport properties of nanostructures. As an application, we analyze the $I\text{\ensuremath{-}}V$ characteristics and the full local density of states (DOS) profile of an Anderson-Hubbard lattice sandwiched between biased electrodes. We show how the DOS anomaly due to the AA mechanism is reshaped by the geometrical confinement and the nonequilibrium effects in a nanosystem. Our numerical findings are well understood by the analytical results we provide in this paper.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".