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arxiv: 2510.24277 · v2 · submitted 2025-10-28 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci

Soft and hard x-ray orbital-resolved photoemission study of a strongly correlated Cd-Ce quasicrystal approximant

Goro Nozue , Hidenori Fujiwara , Satoru Hamamoto , Miwa Tsutsumi , Akane Ose , Takayuki Kiss , Atsushi Higashiya , Atsushi Yamasaki
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Yuina Kanai-Nakata Shin Imada Masaki Oura Kenji Tamasaku Makina Yabashi Tetsuya Ishikawa Farid Labib Shintaro Suzuki Ryuji Tamura Akira Sekiyama
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classification ❄️ cond-mat.str-el cond-mat.mtrl-sci
keywords photoemission spectroscopyquasicrystal approximantCe 4f orbitalshybridizationFermi levelstrongly correlated electronsmagnetic ground stateCd6Ce
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The pith

In the Cd6Ce quasicrystal approximant the 4f orbitals hybridize mainly with valence-band electrons far from the Fermi level rather than conduction electrons at it.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The study applies soft and hard x-ray photoemission spectroscopy to map the orbital character of electronic states in Cd6Ce, a prototype strongly correlated rare-earth approximant. It finds that cerium 4f states interact primarily with valence-band electrons well below the Fermi level. This pattern stands in contrast to the near-Fermi-level hybridization typical of ordinary intermetallic cerium compounds. The difference supplies a possible explanation for the still-unresolved magnetic behavior of Cd6Ce and points to cadmium-based approximants as systems in which magnetism may develop outside the usual Fermi-level framework.

Core claim

Our soft and hard x-ray photoemission spectroscopy study of Cd6Ce reveals that the 4f orbitals are predominantly hybridized with the valence-band electrons far from the Fermi level, in sharp contrast to the hybridization with conduction electrons at the Fermi level seen for the intermetallic Ce-based compounds. This anomalous hybridization should be taken into account in discussing the unresolved magnetic ground state in Cd6Ce.

What carries the argument

Orbital-resolved photoemission intensity maps obtained with soft and hard x-rays, which separate the hybridization signature of 4f states with distant valence bands from any contribution near the Fermi level.

If this is right

  • The magnetic ground state of Cd6Ce must incorporate hybridization of 4f states with valence electrons away from the Fermi level.
  • Multi-step magnetic transitions observed in some Cd-based approximants arise from this non-standard hybridization mechanism.
  • Novel magnetic properties in these approximants fall outside the conventional picture that relies on hybridization right at the Fermi level.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Other rare-earth quasicrystal approximants may display comparable off-Fermi hybridization and therefore require revised magnetic models.
  • Composition tuning in these approximants could move the hybridization energy systematically and test its effect on ordering temperatures.
  • The finding suggests that valence-band hybridization channels deserve explicit inclusion in theories of strongly correlated quasicrystals.

Load-bearing premise

The measured intensity distributions are taken to reflect the true orbital hybridization character of the 4f states rather than being controlled by matrix-element variations or surface contributions.

What would settle it

A calculation or additional measurement at multiple photon energies that reproduces the same intensity pattern solely through matrix-element effects without any change in the underlying 4f hybridization location.

Figures

Figures reproduced from arXiv: 2510.24277 by Akane Ose, Akira Sekiyama, Atsushi Higashiya, Atsushi Yamasaki, Farid Labib, Goro Nozue, Hidenori Fujiwara, Kenji Tamasaku, Makina Yabashi, Masaki Oura, Miwa Tsutsumi, Ryuji Tamura, Satoru Hamamoto, Shin Imada, Shintaro Suzuki, Takayuki Kiss, Tetsuya Ishikawa, Yuina Kanai-Nakata.

Figure 1
Figure 1. Figure 1: shows the Ce M5-edge XAS spectrum and the Ce 3d-4f RPES spectra of AC Cd6Ce. The photon ener￾gies employed for the Ce 3d-4f RPES are indicated by the Intensity (arb. units) 6 5 4 3 2 1 0 -1 Binding Energy (eV) A B C D E F G H (b) Cd6Ce Valence band C-pol. 20 K 4f0 4f1 Intensity (arb. units) 875 880 885 Photon Energy (eV) (a) Cd6Ce Ce M5-edge XAS C-pol. 20 K B C DE FG H A FIG. 1: (a) Ce M5-edge XAS spectrum… view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: (a) On- and off-resonance (on-res., photon energy E and off-res., photon energy A indicated in Fig. 1(a)) valence-band [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: (a) Linearly polarized valence-band HAXPES spectra [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: (b) shows the comparison of the on-res. spec￾trum and the simulated 4f spectrum, in which the in￾tensity of the 4f 0 peak is comparable to that of the 4f 1 peak. As shown in the figure, we have semiquantita￾tively reproduced the experimental Ce 3d-4f RPES spec￾tra by the NCA calculation using the parameters listed above [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Ce 3 [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
read the original abstract

We have investigated the orbital-dependent electronic states of Cd6Ce, a prototype of strongly correlated rare-earth-based Tsai-type quasicrystals and approximants (ACs) by soft and hard x-ray photoemission spectroscopy. Our results reveal that the 4f orbitals are predominantly hybridized with the valence-band electrons far from the Fermi level (EF), in sharp contrast to the hybridization with conduction electrons at EF seen for the intermetallic Ce-based compounds. This anomalous hybridization should be taken into account in discussing the unresolved magnetic ground state in Cd6Ce. These findings suggest that Cd-based ACs, some of which show the multi-step magnetic transitions, could provide a new platform for investigating novel magnetic properties that cannot be understood within the conventional framework of hybridization at EF.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports soft- and hard-x-ray photoemission spectroscopy (PES) measurements on the Cd6Ce Tsai-type quasicrystal approximant. The central claim is that the Ce 4f orbitals hybridize predominantly with valence-band states well below the Fermi level (EF), in contrast to the EF-centered hybridization with conduction electrons that characterizes conventional Ce intermetallics; this anomalous hybridization is proposed to be relevant to the unresolved magnetic ground state of Cd6Ce.

Significance. If the orbital-assignment interpretation is robust, the result identifies a distinct hybridization regime in rare-earth quasicrystal approximants that lies outside the conventional Kondo-lattice picture, potentially accounting for the multi-step magnetic transitions observed in some Cd-based approximants and motivating new theoretical treatments of 4f-valence mixing far from EF.

major comments (2)
  1. [Abstract / Results] Abstract and implied results/discussion sections: the assignment of soft- versus hard-x-ray intensity distributions to predominant 4f hybridization with valence-band electrons far from EF does not include explicit correction for the photon-energy dependence of photoemission cross sections (Ce 4f vs. Cd/Ce sp/d orbitals), which vary by more than an order of magnitude between ~100 eV and several keV; without such corrections or comparison to a model spectral function, the observed redistribution could arise from matrix-element effects rather than electronic mixing.
  2. [Discussion] Discussion of contrast to intermetallic Ce compounds: the claim that hybridization occurs 'far from EF' versus 'at EF' rests on direct comparison of raw PES intensities; the manuscript does not demonstrate that the same matrix-element and surface-sensitivity corrections applied to the Cd6Ce data would leave the conventional EF-hybridization picture intact for reference compounds.
minor comments (2)
  1. [Experimental methods] Clarify the precise photon energies and polarization used for the soft- and hard-x-ray spectra and state whether resonant enhancement at the Ce 3d or 4d edges was employed.
  2. [Figures] Add error bars or statistical uncertainty estimates to the extracted intensity ratios or orbital characters shown in any figures.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. We address the two major comments point by point below, offering the strongest substantive response consistent with the data and analysis presented.

read point-by-point responses

  1. Referee: [Abstract / Results] Abstract and implied results/discussion sections: the assignment of soft- versus hard-x-ray intensity distributions to predominant 4f hybridization with valence-band electrons far from EF does not include explicit correction for the photon-energy dependence of photoemission cross sections (Ce 4f vs. Cd/Ce sp/d orbitals), which vary by more than an order of magnitude between ~100 eV and several keV; without such corrections or comparison to a model spectral function, the observed redistribution could arise from matrix-element effects rather than electronic mixing.

    Authors: We agree that making the cross-section analysis explicit would strengthen the orbital assignment. Our interpretation already rests on the well-documented photon-energy dependence of atomic cross sections, which strongly enhance Ce 4f relative to Cd/Ce sp/d states at hard-x-ray energies; the observed increase in spectral weight far below EF in the hard-x-ray data is therefore naturally attributed to 4f character mixed into those valence-band states. To address the concern directly, we will add a supplementary section that (i) quotes tabulated cross-section ratios at the relevant photon energies and (ii) compares the measured intensity redistribution to a simple model spectral function in which 4f weight is placed at the observed binding energies. This will demonstrate that matrix-element scaling alone cannot reproduce the energy-dependent changes without invoking hybridization with the valence-band states. revision: yes

  2. Referee: [Discussion] Discussion of contrast to intermetallic Ce compounds: the claim that hybridization occurs 'far from EF' versus 'at EF' rests on direct comparison of raw PES intensities; the manuscript does not demonstrate that the same matrix-element and surface-sensitivity corrections applied to the Cd6Ce data would leave the conventional EF-hybridization picture intact for reference compounds.

    Authors: The central contrast is the binding-energy location of the 4f-derived spectral weight, not its absolute intensity. In conventional Ce intermetallics the literature consistently places the Kondo-resonance and hybridization features at or very near EF; in Cd6Ce the additional 4f weight appears several eV below EF. Because photoemission matrix elements and surface sensitivity primarily rescale the relative contributions of different orbitals without shifting their binding energies, the positional difference survives the same corrections. We will nevertheless insert a clarifying paragraph in the revised discussion that (i) notes this energy-position argument and (ii) references representative prior analyses of Ce intermetallics that already incorporate analogous cross-section considerations, thereby confirming that the conventional EF-centered picture remains intact under equivalent treatment. revision: partial

Circularity Check

0 steps flagged

No significant circularity in this experimental photoemission study

full rationale

This is a direct experimental observation paper reporting soft- and hard-x-ray photoemission spectra on Cd6Ce. The central claim concerns observed intensity distributions interpreted as 4f-valence hybridization far from EF. No equations, parameter fittings, derivations, or self-citation chains are present that reduce any result to its own inputs by construction. The analysis relies on measured data rather than self-definitional steps, fitted inputs called predictions, or load-bearing self-citations. The paper is self-contained against external benchmarks for its observational nature, consistent with a score of 0.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard interpretation of photoemission spectra rather than new free parameters, axioms beyond domain conventions, or invented entities.

axioms (1)
  • domain assumption Standard interpretation of soft and hard x-ray photoemission spectra for determining orbital hybridization character and energy location relative to EF
    Invoked when mapping measured intensity to 4f versus valence-band hybridization (abstract).

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