Spin dynamics of an easy-plane Dirac spin liquid in a frustrated XY model: Application to honeycomb cobaltates
Bibliographic record
Abstract
Recent work has shown that the honeycomb lattice spin-$\frac{1}{2}\phantom{\rule{4pt}{0ex}}{J}_{1}\text{\ensuremath{-}}{J}_{3}$ XY model, with nearest-neighbor ferromagnetic exchange ${J}_{1}$ and frustration induced by third-neighbor antiferromagnetic exchange ${J}_{3}$, may be relevant to a wide range of cobaltate materials. We explore a variational Monte Carlo (VMC) study of Gutzwiller projected wave functions for this model and show that an easy-plane Dirac spin liquid (DSL) is a viable ``parent'' state for the competing magnetic orders observed in these materials, including ferromagnetic, zigzag, spiral, and double zigzag orders at intermediate frustration, and show that such broken-symmetry states can be easily polarized by a weak in-plane magnetic field consistent with experiments. We formulate a modified parton theory for such frustrated spin models, and explore the potential instabilities of the DSL due to residual parton interactions within a random phase approximation (RPA), both at zero magnetic field and in a nonzero in-plane field. The broken-symmetry states which emerge in the vicinity of this Dirac spin liquid include ferromagnetic, zigzag, and incommensurate spiral orders, with a phase diagram which is consistent with VMC and density matrix renormalization group studies. We calculate the dynamical spin response of the easy-plane DSL, including RPA corrections, near the boundary of the ordered states, and present results for THz spectroscopy and inelastic neutron scattering, at zero field as well as in an in-plane magnetic field, and discuss experimental implications.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 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".