Probing spin and orbital Kondo effects with a mesoscopic interferometer
Bibliographic record
Abstract
We investigate theoretically the transport properties of a closed Aharonov-Bohm interferometer containing two quantum dots in the strong coupling regime. We find two distinct physical scenarios depending on the strength of the interdot Coulomb interaction. When the interdot Coulomb interaction is negligible, only spin fluctuations are important and each dot develops a Kondo resonance at the Fermi level independently of the applied magnetic flux. The transport is characterized by the interference of these two independent Kondo resonances. On the contrary, for large interdot interaction, only one electron can be accommodated onto the double-dot system. In this situation, not only the spin can fluctuate but also the orbital degree of freedom (the pseudospin). As a result, we find different ground states depending on the value of the applied flux. When $\ensuremath{\phi}=\ensuremath{\pi}\phantom{\rule{0.3em}{0ex}}(\mathrm{mod}\phantom{\rule{0.2em}{0ex}}2\ensuremath{\pi})$ ($\ensuremath{\phi}=2\ensuremath{\pi}\mathrm{\ensuremath{\Phi}}∕{\mathrm{\ensuremath{\Phi}}}_{0}$, where $\mathrm{\ensuremath{\Phi}}$ is applied flux and ${\mathrm{\ensuremath{\Phi}}}_{0}=h∕e$ the flux quantum) the electronic transport can take place via simultaneous correlations in the spin and pseudospin sectors, leading to the highly symmetric SU(4) Kondo state. Nevertheless, we find situations with $\ensuremath{\phi}>0\phantom{\rule{0.3em}{0ex}}(\mathrm{mod}\phantom{\rule{0.2em}{0ex}}2\ensuremath{\pi})$ where the pseudospin quantum number is not conserved during tunneling events, giving rise to the common SU(2) Kondo state with an enhanced Kondo temperature. We investigate the crossover between both ground states and discuss possible experimental signatures of this physics as a function of the applied magnetic flux.
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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".