Resonant magneto-optic Kerr effect in the magnetic topological insulator<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Cr</mml:mi><mml:mo>:</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>Bi</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Te</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>
Bibliographic record
Abstract
We report measurements of the polar Kerr effect, proportional to the out-of-plane component of the magnetization, in thin films of the magnetically doped topological insulator ${({\text{Cr}}_{0.12}{\text{Bi}}_{0.26}{\text{Sb}}_{0.62})}_{2}{\text{Te}}_{3}$. Measurements of the complex Kerr angle ${\mathrm{\ensuremath{\Theta}}}_{K}$ were performed as a function of photon energy in the range $0.8\phantom{\rule{4.pt}{0ex}}\text{eV}<\ensuremath{\hbar}\ensuremath{\omega}<3.0\phantom{\rule{4.pt}{0ex}}\text{eV}$. We observed a peak in the real part of ${\mathrm{\ensuremath{\Theta}}}_{K}(\ensuremath{\omega})$ and zero crossing in the imaginary part that we attribute to a resonant interaction with a spin-orbit avoided crossing located $\ensuremath{\approx}1.6$ eV above the Fermi energy. The resonant enhancement allows measurement of the temperature and magnetic field dependence of ${\mathrm{\ensuremath{\Theta}}}_{K}$ in the ultrathin film limit, $d\ensuremath{\ge}2$ quintuple layers (QL). We find a sharp transition to zero remanent magnetization at 6 K for $d<8$ QL, consistent with theories of the dependence of impurity spin interactions on film thickness and their location relative to topological insulator surfaces.
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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 | 0.011 | 0.008 |
| Meta-epidemiology (narrow) | 0.005 | 0.011 |
| Meta-epidemiology (broad) | 0.002 | 0.011 |
| Bibliometrics | 0.003 | 0.007 |
| Science and technology studies | 0.008 | 0.010 |
| Scholarly communication | 0.008 | 0.006 |
| Open science | 0.013 | 0.011 |
| Research integrity | 0.011 | 0.010 |
| Insufficient payload (model declined to judge) | 0.791 | 0.014 |
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; both teacher heads agree on what is shown here.
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".