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arxiv: 2606.26269 · v1 · pith:3QEY673Enew · submitted 2026-06-24 · ❄️ cond-mat.mtrl-sci · physics.comp-ph

Challenging the p-type Paradigm: Intrinsic n-type Mobility in Antiferromagnetic Cr₂O₃

\'A. A. Carrasco \'Alvarez , S. Ponc\'e This is my paper

Pith reviewed 2026-06-26 01:20 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci physics.comp-ph
keywords chromium oxiden-typehole mobilityelectron mobilitytransparent conducting oxideBoltzmann transportantiferromagnetic
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The pith

Cr2O3 is intrinsically n-type because computed electron mobility exceeds hole mobility over a wide temperature range.

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

The paper uses the ab initio Boltzmann transport equation to calculate phonon-limited electron and hole mobilities in Cr2O3. It shows electrons are more mobile than holes across temperatures, overturning the assumption that the material is intrinsically p-type. The asymmetry traces to the valence band having larger effective mass and multi-valley features while phonon scattering rates remain comparable for both carriers. Observed p-type conduction is therefore attributed to extrinsic defects, opening the possibility of bipolar transport in devices.

Core claim

Phonon-limited electron mobility systematically exceeds hole mobility in Cr2O3 over a wide temperature range. The mobility asymmetry originates from the electronic structure, specifically the larger effective mass and multi-valley character of the valence band, while scattering with phonons affects electrons and holes similarly. Cr2O3 is therefore intrinsically n-type, and the commonly observed p-type behavior must be extrinsic.

What carries the argument

Ab initio Boltzmann transport equation calculations of phonon-limited mobilities that isolate the electronic-structure origin of the electron-hole asymmetry.

Load-bearing premise

Phonon-limited mobilities computed via the Boltzmann equation fully set the intrinsic transport character, with defects and other mechanisms not reversing the electron-hole asymmetry.

What would settle it

Direct measurement of temperature-dependent mobilities in high-purity Cr2O3 samples showing hole mobility exceeding electron mobility at any temperature in the computed range would falsify the claim.

Figures

Figures reproduced from arXiv: 2606.26269 by \'A. A. Carrasco \'Alvarez, S. Ponc\'e.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Crystal structure of antiferromagnetic Cr [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Phonon dispersion of Cr [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Electronic dispersion of antiferromagnetic Cr [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

Chromium oxide (Cr$_2$O$_3$) is widely considered a $p$-type transparent conducting oxide despite ongoing debate regarding its intrinsic transport character. Here, we resolve this question by computing phonon-limited electron and hole mobilities using the ab initio Boltzmann transport equation. We find that electron mobility systematically exceeds hole mobility over a wide temperature range, demonstrating that Cr$_2$O$_3$ is intrinsically $n$-type. Analysis of scattering mechanisms reveals that scattering with phonons affects electrons and holes similarly, and that the mobility asymmetry originates from the electronic structure, namely the larger effective mass and multi-valley character of the valence band. The intrinsic $n$-type character, combined with moderate hole mobility, enables bipolar transport and revises the role of Cr$_2$O$_3$ in transparent electronics. Additionally, our results on mobility complement previous studies on defect formation indicating that the commonly observed $p$-type behavior is extrinsic. These insights provide a complete chemical-transport paradigm for Cr$_2$O$_3$, re-evaluating its role in functional transparent electronic and magneto-optoelectronic applications

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

0 major / 3 minor

Summary. The manuscript computes phonon-limited electron and hole mobilities in antiferromagnetic Cr₂O₃ via the ab initio Boltzmann transport equation. It reports that electron mobility exceeds hole mobility over a wide temperature range due to differences in valence-band effective mass and multi-valley character, while phonon scattering affects both carriers similarly. This establishes intrinsic n-type character, with observed p-type behavior attributed to extrinsic defects; the work positions itself as complementary to prior defect-formation studies and relevant for bipolar transport in transparent electronics.

Significance. If the computed mobility asymmetry holds, the result would revise the transport paradigm for Cr₂O₃, enabling a complete intrinsic-plus-extrinsic picture and clarifying its role in magneto-optoelectronic and transparent-conducting applications. The ab initio BTE approach supplies a parameter-free, falsifiable prediction of the electron-hole asymmetry that can be tested against future single-crystal measurements.

minor comments (3)
  1. Abstract: no numerical mobility values, ratios, or temperature points are stated, making the central claim harder to assess at a glance; adding e.g. μ_e/μ_h at 300 K would strengthen the summary.
  2. The manuscript should explicitly state convergence criteria for the BTE solution (k/q-grid density, energy cutoff, etc.) and report error estimates on the mobility values to support the claimed systematic asymmetry.
  3. A brief comparison table or plot against available experimental mobility data (even if limited) would help readers gauge the absolute scale of the computed values.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our work and the recommendation of minor revision. The summary accurately captures our main findings on the phonon-limited mobilities and the intrinsic n-type character of antiferromagnetic Cr₂O₃. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The paper's central derivation computes phonon-limited electron and hole mobilities via the ab initio Boltzmann transport equation applied to DFT-derived band structures and phonons. The reported μ_e > μ_h asymmetry is traced explicitly to valence-band effective-mass and multi-valley differences (outputs of the electronic-structure calculation), not to any fitted parameter or self-referential definition. No load-bearing step reduces by construction to the target result; the phonon-scattering analysis is independent of the mobility values themselves. Prior defect-formation studies are cited only as complementary context, not as the justification for the mobility asymmetry. The chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The work rests on standard assumptions of density-functional theory and the Boltzmann transport equation; no new free parameters, ad-hoc axioms, or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption The ab initio Boltzmann transport equation with phonon scattering accurately captures the intrinsic electron and hole mobilities.
    Invoked as the method that directly yields the reported mobility asymmetry.

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