pipeline/downfold.py: treat band occupations as per-spin fractions (n = 2·o) and select the band nearest half filling — fixes #15

#18
by Yuseon84 - opened

Follow-up to #15 with a concrete patch and a reproducible before/after table.

What changes (pipeline/downfold.py, active_band()), two lines:

  • n_band = 2 * o instead of o — in a non-spin-polarized pw.x run the per-band <occupations> are
    per-spin fractions in [0, 1]; the spin factor sits in the k-point weights, which this function
    renormalizes to 1. (dos_at_ef() in the same file already multiplies by 2 for this reason.)
  • select the crossing band by abs(2*o − 1.0) (nearest half filling) instead of abs(o − 1.0), which in
    [0, 1] picks the fullest band.

build_final.py needs no change: its particle–hole map (Ne > 36 → 72 − Ne) starts working once
n_band can exceed 1.

Two separable effects.

  1. Density interpretation — reproducible from the published table alone. recompute_filling.py reads the
    existing n_band column as f, sets Ne = round(72 f) with the particle–hole map, and re-applies the
    published A_d(δ). Output: active_challenge_corrected.csv. Top of the re-scored active set:
new rank old rank material n_band (per-spin) old δ → score corrected δ → score
1 56 CuS₂ (OSC-00581) 0.478 0.556 → 0.0 0.056 → 22.6
2 57 Co₂Se₂ (OSC-00102) 0.512 0.500 → 0.0 0.000 → 16.4
3 47 Cr₂N (OSC-01189) 0.395 0.611 → 0.8 0.222 → 13.9
4 58 CoO₂ (OSC-00925) 0.471 0.556 → 0.0 0.056 → 13.7
5 39 Cu₂Se₂ (OSC-00576) 0.613 0.389 → 3.4 0.222 → 12.8

CHf₂ (33.2 → 7.2), CuBr₂ (22.0 → 2.8) and CuCl₂ (21.0 → 0.0) leave the top because their currently
selected bands are nearly full (f = 0.71–0.88, n = 1.4–1.8).

  1. Band re-selection — needs the SCF XMLs, so it is not reproduced here. It will change the active band
    for most multi-band metals. From the C2DB band structures of six active materials (per-spin fillings
    of all bands crossing E_F), the band nearest half filling gives:
material currently selected (f) nearest-half band (f) δ after fix
CHf₂ 0.71 0.74 (only crosser besides 0.22) ≈ 0.48
CuBr₂ 0.87 0.56 ≈ 0.13
CuCl₂ 0.88 0.59 ≈ 0.19
Ni₂S₂ (2NiS-3) 0.92 0.43 ≈ 0.14
CuS₂ 0.48 0.43–0.48 ≈ 0.04–0.15
Co₂Se₂ 0.51 0.55 ≈ 0.09

So the Cu(II) halides stay on the dome with a different A_d, while CHf₂ does not.

Files

  • pipeline/downfold.py — the two-line change, with a comment.
  • pipeline/recompute_filling.py — new; regenerates the corrected table from any active_challenge.csv + scoring_meta.json.
  • validation/active_challenge_corrected.csv — output of the above on the current table (effect 1 only).

I have not touched active_challenge.csv or submissions.csv themselves; that is the organizers' call once
the XMLs are re-downfolded. Happy to adjust the patch if the pipeline's QE run used a convention I have not
seen.

🤖 Generated with Claude Code

FINAL_Bench org

Confirmed, and thank you — this is a correct and well-evidenced bug report. We reproduced it from the
published table alone and in our own pipeline code.

What we verified

  • pipeline/downfold.py is internally inconsistent on the spin factor: dos_at_ef() multiplies by 2
    (return 2.0 * n), but active_band() renormalizes the k-weights to 1 and then uses the per-spin
    band fraction o directly as the site filling (n_band = o, delta = 1 - n_band), and selects the
    crossing band by abs(o - 1.0). In a non-spin-polarized pw.x run the <occupations> are per-spin
    fractions in [0,1] and the spin factor is in the k-weights (Σ = 2), so the density is n = 2o and
    delta = |1 - 2o|.
  • Evidence reproduced from active_challenge.csv: all 66 n_band values fall in [0.011, 1.007]
    (only two marginally above 1.0), and the particle-hole remap is essentially never triggered — exactly
    what a per-spin [0,1] quantity looks like, not a 0–2 density.
  • Chemistry check: CuCl₂ / CuBr₂ / CuI₂ (Cu²⁺, d⁹) are assigned n_band = 0.884 / 0.873 / 0.862
    ("nearly full") where a half-filled x²−y² band (per-spin ≈ 0.5) is expected.
  • Re-scoring the published table with n = 2o reproduces your #18 table exactly (CuS₂ 22.6, Co₂Se₂ 16.4,
    Cr₂N 13.9, CoO₂ 13.7, Cu₂Se₂ 12.8).

Fix (both effects), applied to pipeline/downfold.py

  • n_band = 2 * o (site density; consistent with dos_at_ef)
  • select the crossing band by abs(2*o − 1.0) (nearest half filling) instead of the fullest band
  • build_final.py needs no change; its particle-hole map starts working once n_band can exceed 1.

How we will roll it out
Because this changes the filling (hence A_d and the score) for every material, we are not hot-patching
the board silently. We will: (1) re-derive active_challenge.csv by re-reading the existing SCF outputs
with the corrected active_band() — no new DFT is needed; (2) publish the corrected pipeline and table
together with a short note so every participant's score moves under the same rule at the same time;
(3) re-express existing submissions against the corrected canonical values. The multi-band materials
(e.g. CHf2, which currently sits at #1 on the un-corrected filling) are resolved by the same change,
since the selector now targets the near-half-filled band rather than the fullest one.

Credit for finding and diagnosing this goes to @Yuseon84 (#15, #18), with the independent-reproduction
format we ask for. We will record the attribution in the dataset changelog when the corrected table ships.

Cannot merge
This branch has merge conflicts in the following files:
  • pipeline/downfold.py

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