Nearly Complete Charge--Spin Conversion via Strain-Eliminated Fermi Pockets in $d$-Wave Altermagnets

Rui Xiong; Wancheng Zhang; Zhenhua Zhang; Zhihong Lu

arxiv: 2604.21779 · v2 · submitted 2026-04-23 · ❄️ cond-mat.mtrl-sci · physics.comp-ph

Nearly Complete Charge--Spin Conversion via Strain-Eliminated Fermi Pockets in d-Wave Altermagnets

Wancheng Zhang , Zhenhua Zhang , Rui Xiong , Zhihong Lu This is my paper

Pith reviewed 2026-05-09 21:35 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci physics.comp-ph

keywords d-wave altermagnetscharge-spin conversionstrain engineeringFermi pocketsKV2Se2Otight-binding modelspintronics

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The pith

In-plane tensile strain eliminates residual elliptical Fermi pockets in d-wave altermagnets, driving charge-to-spin conversion efficiency up to 96% at 4% strain.

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

The paper shows that realistic d-wave altermagnets like KV2Se2O contain elliptical Fermi pockets that boost charge flow but weaken spin flow, lowering conversion efficiency far below the ideal 100%. Applying equibiaxial tensile strain removes those pockets by reducing next-nearest-neighbor electron hoppings, restoring the orthogonal flat Fermi surfaces that enable near-complete spin-channel separation. First-principles calculations track a steady rise in efficiency that reaches 96% at 4% strain, while a fitted tight-binding model isolates the hopping reduction as the main cause. The work also finds that tilted electric fields produce an out-of-plane spin current with roughly 55% efficiency, opening a route to field-free perpendicular magnetization switching.

Core claim

In d-wave altermagnets such as KV2Se2O, equibiaxial tensile strain systematically suppresses next-nearest-neighbor hoppings, eliminating parasitic elliptical Fermi pockets and restoring orthogonal flat Fermi surfaces, thereby increasing the charge-to-spin conversion efficiency from low values to approximately 96% at 4% strain. An effective tight-binding model confirms this evolution, and an unconventional out-of-plane spin current component emerges under tilted fields with nearly 55% CSE at optimal orientations.

What carries the argument

Strain-tuned reduction of next-nearest-neighbor hoppings that removes residual elliptical Fermi pockets and restores flat Fermi surfaces.

If this is right

Charge-to-spin conversion efficiency rises monotonically with increasing in-plane tensile strain.
Suppression of next-nearest-neighbor hoppings is the dominant process restoring high spin conductivity.
Tilted electric fields generate an out-of-plane spin current component reaching nearly 55% conversion efficiency.
Strain engineering provides a practical design route toward near-ideal spintronic devices in d-wave altermagnets.

Where Pith is reading between the lines

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

The same strain-tuning principle could be examined in other metallic altermagnets to reach comparable efficiencies.
The out-of-plane spin current may allow device geometries that avoid external magnetic fields for magnetization control.
Angle-resolved photoemission spectroscopy performed under controlled strain would directly image the predicted pocket disappearance.

Load-bearing premise

The first-principles band structure and fitted tight-binding model stay accurate at 4% strain without new structural instabilities or correlation effects that would alter the Fermi pockets.

What would settle it

Direct measurement of the Fermi surface at 4% tensile strain that still shows elliptical pockets, or transport data that yields charge-to-spin conversion well below 90%, would disprove the predicted pocket-elimination mechanism.

Figures

Figures reproduced from arXiv: 2604.21779 by Rui Xiong, Wancheng Zhang, Zhenhua Zhang, Zhihong Lu.

**Figure 2.** Figure 2: FIG. 2. Band structure and Fermi surface of KV [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Strain and angular dependence of the charge-to-spin conversion efficiency (CSE) and spin conductivities in KV [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. Strain-induced evolution of the Fermi surface and transport properties in the effective tight-binding model for KV [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗

read the original abstract

$d$-wave altermagnets possess nearly orthogonal flat Fermi surfaces, which in an idealized limit enable complete spin-channel separation and a theoretical charge-to-spin conversion efficiency (CSE) of 100%. The recently discovered metallic altermagnet $\mathrm{KV_2Se_2O}$ exemplifies this class, yet realistic samples host residual elliptical Fermi pockets that enhance charge conductivity while suppressing spin conductivity, drastically reducing the CSE. Here we show that in-plane equibiaxial tensile strain systematically eliminates these parasitic pockets, restoring the flat-band geometry. Our first-principles calculations reveal that the CSE increases monotonically with strain, reaching a record value of approximately 96% at 4% strain. An effective tight-binding model fitted to the computed band structure accurately captures the evolution of the Fermi surface and confirms that the suppression of the pockets -- governed by reduced next-nearest-neighbor hoppings -- is the dominant mechanism for the strain-enhanced CSE. We further identify an unconventional out-of-plane spin current component that emerges under tilted electric fields and achieves a CSE of nearly 55% at optimal orientations, offering a promising pathway for field-free perpendicular magnetization switching. Our findings establish strain engineering as a practical route to approach the ultimate conversion limit in $d$-wave altermagnets and provide a design principle for high-efficiency spintronic devices.

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.

Desk Editor's Note private letter to a colleague

Strain removes the pockets and lifts CSE to 96% in this altermagnet, but 4% tension stability is unchecked.

read the letter

This paper shows that 4% equibiaxial tensile strain in KV2Se2O wipes out the elliptical Fermi pockets that hurt spin conductivity, driving charge-spin conversion efficiency up to about 96%. It also reports an out-of-plane spin-current component that appears under tilted electric fields and reaches roughly 55% efficiency at good angles. Both results are new relative to earlier altermagnet work on flat surfaces and ideal limits. The first-principles bands track the pocket suppression with strain, and the fitted tight-binding model ties it to weaker next-nearest-neighbor hoppings. That mechanism is clear and useful for thinking about how to tune these materials. The monotonic rise in efficiency with strain is the concrete advance here. The calculations are internally consistent on the electronic side and the symmetry arguments line up with d-wave altermagnet expectations. The main weakness is the missing stability check at 4% strain. KV2Se2O is layered and van der Waals, so that level of in-plane tension can easily produce buckling, layer shifts, or soft phonons that would reintroduce pockets or change the bands. No phonon spectra, elastic constants, or +U tests under strain are shown, so the 96% figure rests on an unverified assumption that the structure holds. The tight-binding fit is to the strained DFT bands, which is fine for explanation but passes any DFT errors at high strain straight into the conductivity numbers. No error bars or direct experimental comparisons appear either. Readers working on altermagnet spintronics or strain-tuned devices will find the strain knob and the tilted-field current worth looking at. The paper is concrete enough to deserve a serious referee. The calculations are reproducible in principle and the claim can be tested, even if stability and correlation effects need more work. I would send it to review with those points as the main questions.

Referee Report

2 major / 2 minor

Summary. The paper claims that equibiaxial tensile strain in the d-wave altermagnet KV2Se2O systematically eliminates residual elliptical Fermi pockets, causing the charge-to-spin conversion efficiency (CSE) to increase monotonically and reach ~96% at 4% strain. First-principles calculations are supplemented by a fitted effective tight-binding model that attributes the improvement to reduced next-nearest-neighbor hoppings; an unconventional out-of-plane spin-current component under tilted fields is also reported, reaching ~55% CSE at optimal orientations.

Significance. If the quantitative CSE values and Fermi-surface evolution prove robust, the work supplies a concrete strain-engineering route toward the theoretical 100% limit in d-wave altermagnets and identifies a field-free perpendicular-switching pathway. The combination of DFT band-structure results with a transparent TB analysis constitutes a clear mechanistic demonstration.

major comments (2)

[Abstract and main results] Abstract and main results: the headline CSE value of ~96% at 4% equibiaxial tension rests on the assumption that the DFT Fermi surface remains free of pockets and that the conductivity tensors are unaltered by strain-induced structural changes. No phonon-dispersion, elastic-constant, or +U-sensitivity data under 4% tension are provided, leaving open the possibility that out-of-plane relaxation or buckling reintroduces pockets and invalidates the reported monotonic rise.
[Tight-binding model section] Tight-binding model section: because the TB parameters are fitted directly to the strained DFT bands, the statement that pocket suppression is 'governed by reduced next-nearest-neighbor hoppings' is partly by construction. While the raw first-principles strain dependence is independent, the quantitative CSE numbers and the mechanistic attribution inherit the fitting step; an unfitted or parameter-free analysis would be required to confirm the dominance of this mechanism.

minor comments (2)

[Results] No error bars or uncertainty estimates accompany the CSE percentages, and no direct comparison with available unstrained experimental transport data is presented.
[Methods] Notation for the conductivity tensors and the definition of CSE should be stated explicitly in the main text rather than deferred to supplementary material.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive evaluation of our work's significance and for providing detailed feedback. We respond to the major comments below and will incorporate revisions to address the valid concerns raised.

read point-by-point responses

Referee: Abstract and main results: the headline CSE value of ~96% at 4% equibiaxial tension rests on the assumption that the DFT Fermi surface remains free of pockets and that the conductivity tensors are unaltered by strain-induced structural changes. No phonon-dispersion, elastic-constant, or +U-sensitivity data under 4% tension are provided, leaving open the possibility that out-of-plane relaxation or buckling reintroduces pockets and invalidates the reported monotonic rise.

Authors: We agree that additional verification of structural stability under strain would enhance the reliability of our results. Our DFT calculations involve full relaxation of the out-of-plane lattice constant and atomic positions for each strained in-plane lattice. At 4% tension, the optimized geometry shows no evidence of buckling, and the Fermi surface from these DFT bands is free of the elliptical pockets. We will add phonon dispersion calculations demonstrating the absence of imaginary frequencies and the elastic constants for the strained unit cell in the revised supplementary information. We have also checked that the CSE trend is insensitive to moderate variations in the Hubbard U parameter. These revisions will confirm that the reported monotonic increase to ~96% CSE is robust against the concerns mentioned. revision: yes
Referee: Tight-binding model section: because the TB parameters are fitted directly to the strained DFT bands, the statement that pocket suppression is 'governed by reduced next-nearest-neighbor hoppings' is partly by construction. While the raw first-principles strain dependence is independent, the quantitative CSE numbers and the mechanistic attribution inherit the fitting step; an unfitted or parameter-free analysis would be required to confirm the dominance of this mechanism.

Authors: We concur that the TB model is fitted to the DFT data, making the mechanistic interpretation reliant on that fit. However, the CSE efficiency values are calculated exclusively from the first-principles DFT band structures and the associated conductivity tensors using the relaxation-time approximation in the Boltzmann transport framework; the TB model is not used for the quantitative CSE results. The TB fit is employed only to interpret why the pockets are suppressed. To provide a parameter-free confirmation of the mechanism, we will include an analysis based on Wannier function projections from the DFT calculations to extract the hopping parameters directly, without a global fit, showing the reduction in next-nearest-neighbor hoppings with increasing strain. This will be added to the revised manuscript. revision: partial

Circularity Check

1 steps flagged

TB fit to DFT bands renders mechanism confirmation tautological; main CSE result remains independent

specific steps

fitted input called prediction [Abstract]
"An effective tight-binding model fitted to the computed band structure accurately captures the evolution of the Fermi surface and confirms that the suppression of the pockets -- governed by reduced next-nearest-neighbor hoppings -- is the dominant mechanism for the strain-enhanced CSE."

The model is explicitly fitted to the first-principles band structure; therefore its reproduction of the Fermi-surface evolution and its attribution of the effect to specific hopping terms are guaranteed by the fitting step rather than independently derived. This makes the 'confirmation' of the mechanism equivalent to the input data by construction.

full rationale

The central quantitative claim (CSE rising to ~96% at 4% strain) is stated as arising from first-principles calculations of the strained band structure and derived conductivities. The only load-bearing step that reduces to its inputs by construction is the subsequent fitting of an effective tight-binding model to those same bands, followed by using the fit parameters to 'confirm' that reduced next-nearest-neighbor hoppings suppress the pockets. This confirmation is statistically forced by the fitting procedure itself and does not constitute an independent derivation or prediction. No other patterns (self-citation chains, uniqueness theorems, or ansatz smuggling) appear in the provided text. The overall derivation chain therefore retains independent first-principles content for the headline result, warranting only a modest circularity score.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The central claim rests on density-functional theory being accurate for the strained band structure of KV2Se2O and on the assumption that next-nearest-neighbor hoppings dominate the pocket suppression; no new particles or forces are introduced.

free parameters (2)

strain magnitude
4% equibiaxial tensile strain is chosen to reach the reported 96% CSE; the value is not derived from first principles but selected to demonstrate the effect.
tight-binding hopping parameters
Next-nearest-neighbor hoppings are adjusted to fit the computed bands and control pocket size; these are fitted rather than predicted.

axioms (2)

domain assumption Density-functional theory accurately captures the Fermi-surface evolution under strain
Invoked when stating that first-principles calculations show monotonic CSE increase.
domain assumption The effective tight-binding model reproduces the strain dependence of the pockets
Used to confirm that reduced hoppings are the dominant mechanism.

pith-pipeline@v0.9.0 · 5554 in / 1493 out tokens · 29098 ms · 2026-05-09T21:35:52.266295+00:00 · methodology

discussion (0)

Reference graph

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Šmejkal, R

L. Šmejkal, R. González-Hernández, T. Jungwirth, and J. Sinova, Crystal time-reversal symmetry breaking and spon- taneous Hall effect in collinear antiferromagnets, Sci. Adv.6, eaaz8809 (2020)

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L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond Conventional Ferromagnetism and Antiferromagnetism: A Phase with Non- relativistic Spin and Crystal Rotation Symmetry, Phys. Rev. X 12, 031042 (2022)

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González-Hernández, L

R. González-Hernández, L. Šmejkal, K. Výborný, Y. Yahagi, J. Sinova, T. c. v. Jungwirth, and J. Železný, Efficient electri- calspinsplitterbasedonnonrelativisticcollinearantiferromag- netism, Phys. Rev. Lett.126, 127701 (2021)

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H. Bai, Y. C. Zhang, Y. J. Zhou, P. Chen, C. H. Wan, L. Han, W. X. Zhu, S. X. Liang, Y. C. Su, X. F. Han, F. Pan, and C.Song,EfficientSpin-to-ChargeConversionviaAltermagnetic SpinSplittingEffectinAntiferromagnetRuO 2,Phys.Rev.Lett. 130, 216701 (2023)

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J. Lai, T. Yu, P. Liu, L. Liu, G. Xing, X.-Q. Chen, and Y. Sun, 𝑑-Wave Flat Fermi Surface in Altermagnets Enables Maxi- mum Charge-to-Spin Conversion, Phys. Rev. Lett.135, 256702 (2025)

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Jiang, M

B. Jiang, M. Hu, J. Bai, Z. Song, C. Mu, G. Qu, W. Li, W. Zhu, H. Pi, Z. Wei, Y.-J. Sun, Y. Huang, X. Zheng, Y. Peng, L. He, S. Li, J. Luo, Z. Li, G. Chen, H. Li, H. Weng, and T. Qian, A metallic room-temperatured-wave altermagnet, Nat. Phys.21, 754 (2025)

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Today Phys.63, 102081 (2026)

J.Wang,W.Zhang,Y.Liu,J.Hu,Z.Zhang,R.Xiong,andZ.Lu, Strain-engineered modulation of non-relativistic altermagnetic spin splitting in rutileRuO2, Mater. Today Phys.63, 102081 (2026)

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Y. Bang, X. Chen, P. Guo, Q. Liu, S. Liu, J. Wang, B. Shen, Y. Han, G. Wang, J. Wang, S. Wang, Z. Zeng, X. Zhang, K. L. Wang, and W. Zhao, Strain-tunable altermagnetism and uncon- ventional topological states in MnTe, Phys. Rev. B109, 104408 (2024)

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Y.Zhang,J.Liu,J.Ding,Z.Cao,C.Liu,C.Xu,S.Liu,H.Zhang, J. Yu, D. Wu, W. Luo, Q. Liu, K. L. Wang, W. Zhao, and Q. Wang, Tuning spin splitting and anomalous Hall effect in𝑔- wave altermagnet CrSb thin films via strain engineering, Phys. Rev. B110, 094437 (2024)

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