Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
Bibliographic record
Abstract
The interplay of electronic correlations and spin-orbit coupling results in a rich phenomenology in semimetals with linear or quadratic band touching points. Remarkably, the associated low-energy physics and ground-state properties can often be described by effective field theories with enlarged symmetries such as rotation or Lorentz invariance. Realistic band structures of actual materials, however, are typically anisotropic and thus only allow for cubic rotation invariance. Here, the authors study the influence of anisotropy on the ground state of three-dimensional semimetals described by the Luttinger Hamiltonian, which captures the quadratic band touching present in HgTe, the pyrochlore iridates ${R}_{2}$Ir${}_{2}$O${}_{7}$, or strongly correlated half-Heusler compounds such as YPtBi. They highlight that a sufficient amount of anisotropy can induce qualitatively new ground states in these systems, namely a scale-invariant non-Fermi liquid state, or different octupolar tensor orders that break time-reversal invariance. The latter configurations share features of magnets and nematic order, so one could call them ``nemagnetic''. The authors clarify their very natural interpretation as all-in-all-out or spin ice configurations for electrons in the pyrochlore iridates.
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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) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.002 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.001 |
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".