Bibliographic record
Abstract
Understanding the interplay of nonequilibrium effects, dissipation and many body interactions is a fundamental challenge in condensed matter physics. In this thesis, as a case study, we focus on the transient dynamics and the steady state characterstics of the double-dot Aharonov-Bohm (AB) interferometer subjected to a voltage and/or temperature bias. We first consider an exactly solvable case, the noninteracting double-dot AB interferometer. The transient dynamics of this model is studied using an exact fermionic trace formula, and the analytic expressions in the long time limit are obtained using a nonequilibrium Green's function technique. We also study the effects of elastic dephasing on the occupation-flux behaviour in this noninteracting limit. Several nontrivial magnetic flux control effects are exposed, potentially useful for the design of nanoscale devices. The real time dynamics of the coherences and the charge current in an interacting interferometer is simulated using the numerically exact influence functional path integral (INFPI) technique. The temporal characterstics of the coherence in the weak-intermediate Coulomb repulsion case are qualitatively similar to those found in the noninteracting limit. In contrast, in the large Coulomb repulsion and the large bias limit, master equation simulations reveal notably different dynamics and steady state characterstics. We study the effects of many body interactions on magnetoasymmetries of nonlinear transport coefficients using phenomenological models, Buttiker's probes. Sufficient conditions for the diode functionality in Aharonov-Bohm interferometers are obtained analytically within the framework of Landauer-Buttiker scattering theory. Predictions of the phenomenological probes models are verified by studying a microscopic model with a genuine many body interaction, a double-dot interferometer capacitively coupled to a fermionic environment. These simulations are carried out using the INFPI technique. Some general comments about the suitability of INFPI to study nonlinear transport are presented. This work could be extended to explore nonlinear thermoelectric transport and diode behaviour in interacting many body systems.
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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 | 0.000 |
| 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 | 0.001 | 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".