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Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling

T0 review · 3 major / 6 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read In Mott altermagnets, strong correlations replace spin-split bands with a single spin-locked quasiparticle, the altermagnetic polaron.

desk verdict The paper's main prediction—spin-weight transfer rather than spin-split bands in correlated altermagnets—is well supported by two complementary methods; the abstract overstates it slightly, but the work deserves serious peer review. read the letter →

arxiv 2506.03261 v2 pith:GRHA5F27 submitted 2025-06-03 cond-mat.str-el

Maria Daghofer , Krzysztof Wohlfeld , Jeroen van den Brink This is my paper
classification cond-mat.str-el
keywords altermagnetismMottinsulatorspinpolaronspectral-weighttransferspin-momentumlockingself-consistentBornapproximationvariationalclusterARPES
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper argues that in altermagnets that are Mott insulators, the familiar weakly-correlated picture of two spin-split bands fails. A hole moving through the antiferromagnetic background dresses itself with magnons and forms an altermagnetic polaron, and the dominant many-body signature is spin-dependent spectral-weight transfer: at altermagnetic momenta one spin projection loses its quasiparticle character and dissolves into an incoherent continuum, while the surviving quasiparticle is pinned to one spin direction. The authors demonstrate this with two complementary many-body methods on three model systems, including a Kugel–Khomskii model for the vanadate LaVO3. If correct, ARPES on correlated altermagnets should show a single spin-momentum-locked quasiparticle rather than two spin-split bands.

What carries the argument

The central object is the altermagnetic polaron, a hole moving in the Néel-ordered altermagnet while coherently emitting and reabsorbing magnons. It is computed with the self-consistent Born approximation, whose self-energy $\Sigma_\alpha(k,\omega)$ couples the hole Green's function to the two magnon branches $\alpha,\beta$ of the altermagnet, and cross-checked with the variational cluster approximation on a ten-site cluster; the Dyson equation then yields the one-particle spectral function. The mechanism that carries the argument is the competition between sublattice-preserving hopping $t'$ (which moves the hole without disturbing the spin background) and nearest-neighbor hopping $t$ (which always creates magnons), together with the altermagnetic magnon spectrum that makes the self-energy spin- and momentum-dependent.

What would settle it

Angle-resolved photoemission on a cleaved or epitaxial layer of LaVO3 at the altermagnetic momenta $\mathbf{q}=(\pi,0)$ and $(0,\pi)$: observation of two coherent quasiparticle peaks of comparable weight and opposite spin, rather than one sharp peak with the opposite spin's weight spread into an incoherent background, would contradict the predicted spin-momentum locking. A cleaner numerical check is exact diagonalization of the checkerboard t–J model at small $t'$; if it produced two sharp quasiparticle peaks of comparable weight at $\mathbf{q}=(\pi/2,\pm\pi/2)$, the SCBA-based conclusion would be falsified.

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Extended reading notes

Core claim

Altermagnetic polarons are the one-hole excitations of a Mott altermagnet: a mobile hole strongly coupled to the two magnon branches of the altermagnetic Néel state. The central discovery is that the altermagnetic spin splitting familiar from weak coupling is replaced, at strong coupling, by a spin-dependent transfer of spectral weight. In the checkerboard t–J model and its inverse-Lieb-lattice generalization, the quasiparticle of one spin projection broadens and merges into the incoherent continuum once the sublattice-preserving hopping $t'$ exceeds a small fraction of $t$, so that only one coherent quasiparticle peak remains, with its spin locked to momentum. In the Ising-like spin-orbital case of LaVO3, both spin projections keep quasiparticle peaks, but their weights differ strongly, again producing effective spin–momentum locking of the quasiparticle. The paper concludes that spin-dependent spectral-weight transfer, not band splitting, is the decisive signature of strong-coupling altermagnetism.

Load-bearing premise

The central spin-momentum-locking conclusion rests on the self-consistent Born approximation (with its neglect of crossing magnon lines) and on small-cluster variational cluster calculations being quantitatively reliable for the one-hole spectral function in altermagnets; if crossing magnon processes or finite-cluster effects artificially suppress the second spin's quasiparticle peak, the central claim would fail.

Editorial extensions

If this is right

  • ARPES on correlated altermagnets such as La2O3Mn2Se2 in the xy-orbital sector should reveal a single coherent quasiparticle at the altermagnetic momenta, not two spin-split bands.
  • In Ising-like spin-orbital altermagnets such as LaVO3, both spin species remain coherent but with strongly unequal spectral weight, so the effective quasiparticle is still spin-momentum locked.
  • Spin transport and magnetoelectric responses in Mott altermagnets will be controlled by the surviving spin-polarized quasiparticle rather than by two degenerate bands, altering predictions for spin currents.
  • Superconducting pairing in strongly correlated altermagnets cannot rely on two coherent spin-split Fermi surfaces, because one spin species loses quasiparticle coherence; the spin of the altermagnetic polaron (unlike the spinless spin bag of an antiferromagnet) should enter pairing physics.
  • The weakly coupled, spin-split band picture survives only when coupling to spin fluctuations is suppressed, e.g., in Ising-like magnetic backgrounds or when sublattice-preserving hopping dominates.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same spectral-weight-transfer mechanism should apply to electron-doped altermagnets, where the mobile electron forms a polaron on the opposite spin background; the paper treats holes only, leaving electron-doped altermagnets a natural extension.
  • The ratio $t'/J$ appears to control whether altermagnetic band splitting survives strong correlations, suggesting a practical criterion for classifying candidate altermagnets: materials with dominant sublattice-preserving hopping should keep two spin-split quasiparticles, while those with dominant magnon-generating hopping should show a single spin-locked quasiparticle.
  • Spin-momentum locking of the quasiparticle implies that spin-resolved ARPES or spin-polarized scanning tunneling microscopy could map the altermagnetic order directly, without needing to resolve the tiny band splitting itself.
  • The finding that one spin species becomes incoherent should affect theories of altermagnetic superconductivity, since pairing between an incoherent spin and a coherent spin would be suppressed; whether this strengthens or weakens specific pairing channels is a testable question for future numerical studies.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. This manuscript studies the one-hole spectral function of Mott-insulating altermagnets using two approximate methods: the self-consistent Born approximation (SCBA) applied to a t-J model on the checkerboard lattice and its inverse-Lieb generalization, and the variational cluster approximation (VCA) applied to corresponding Hubbard models and to a three-orbital model for LaVO3. The central claim is that in the strongly correlated regime the weak-coupling picture of two spin-split quasiparticle bands fails: spin-dependent spectral-weight transfer becomes the dominant signature, with one spin projection losing quasiparticle character and becoming incoherent, while the surviving quasiparticle exhibits spin-momentum locking. The authors demonstrate this effect for the checkerboard model, identify parameter regimes where it holds or is suppressed (Ising-like vanadate, 3z^2-r^2 orbital of the ILL), and predict ARPES observables for real materials.

Significance. If the central claim is correct, the paper significantly advances the understanding of correlated altermagnets by predicting that ARPES will show a single spin-momentum-locked quasiparticle rather than two spin-split bands in many Mott-insulating altermagnets. The qualitative distinction between coherent and incoherent spectral weight is a sharp, falsifiable prediction. The paper is careful in several respects: no parameters are fitted to the predicted spectral functions (U=10t is chosen to match J=0.4t); the SCBA and VCA give consistent results for the checkerboard model; and the authors explicitly acknowledge the related work of Lanzini et al. The main weakness is that both computational methods are approximate in exactly the balance between coherent and incoherent weight that controls the central claim, and neither is benchmarked against an exact solver for altermagnetic exchange.

major comments (3)
  1. [Eq. (4) and surrounding text] The SCBA self-energy in Eq. (4) sums only non-crossing magnon diagrams, and the justification by Ref. [54] is for the square-lattice Heisenberg antiferromagnet. The checkerboard altermagnet has two magnon branches with different dispersions (Eq. S7) and a nonzero J' coupling, and the magnitude of neglected crossing diagrams (or vertex corrections) is not estimated. Because the central claim is that one spin projection loses quasiparticle character, an approximation that could artificially suppress coherence is load-bearing. Please provide an estimate of the leading crossing diagram or a benchmark against exact diagonalization on a small altermagnetic t-J cluster.
  2. [Fig. S2 and supplementary QP-weight criterion] The VCA cross-check uses a ten-site cluster for the checkerboard and a 2x2 plaquette for LaVO3, and the supplementary defines a second peak as a quasiparticle only if it is larger than the third peak. Finite-size truncation of the environment can suppress a weak but genuine second quasiparticle peak, and the heuristic may misclassify a broad low-weight peak as part of the continuum. Since the existence or absence of the second spin-polarized quasiparticle is the central claim, please demonstrate cluster-size convergence (e.g., 8-, 10-, and 16-site clusters) or otherwise validate the quasiparticle classification.
  3. [Eq. (S11) in the supplemental material] The conversion from sublattice-resolved to spin-resolved Green's functions relies on a perturbative correction proportional to v_k^2, and the SM states that these corrections can become substantial for large J'. For parameters used in Fig. 3 (J' up to 0.25t), this correction may be significant, yet the spin-resolved QP weights and the disappearance of the second spin QP depend on this conversion. Please quantify v_k^2 for the parameters used and discuss how the conclusions would change if the spin-sublattice correspondence is weakened.
minor comments (6)
  1. [Title] The title contains 'alter magnetic' which should be 'altermagnetic'.
  2. [Introduction] In the introduction, 'loosing its quasi-particle character' should be 'losing'.
  3. [Eq. (5)] Equation (5) has an unintended stray 'q' at the end: '+iδ , q'.
  4. [Reference list] The reference list contains duplicate numbers (two entries labelled [1] and two labelled [2]) and the numbering is not sequential in appearance; please renumber.
  5. [Supplemental material] In the supplemental material, 'wether' should be 'whether' and 'annhiilation' should be 'annihilation'.
  6. [Fig. 1 caption] In the caption of Fig. 1, 'descibes' should be 'describes'.

Circularity Check

0 steps flagged · score 2.0 of 10

No load-bearing circularity: the central spin-momentum-locking and spectral-weight-transfer claims are computed from a fixed model and independently cross-checked by VCA; self-citations are methodological background, not load-bearing.

full rationale

No circular step can be identified in the derivation chain. The SCBA spectra follow from the standard non-crossing self-energy (Eq. 4) with parameters J=0.4t, J'=0.15t, t'=-0.5t chosen as representative values, and no parameter is fitted to the resulting spectral functions. The VCA cross-check is a separate Hubbard-model calculation: U=10t is set solely to obtain the same effective J=4t^2/U=0.4t, and the ten-site cluster calculation then independently reproduces the momentum-dependent spin polarization, so the prediction is not forced by construction. The authors cite their earlier polaron papers [49-51,56] for the SCBA formalism and orbital-polaron background (e.g., the AF/AO state in LaVO3), but the central claim does not reduce to those citations; the VCA here finds the AF/AO order itself. The SM quasiparticle-weight criterion (second peak larger than third peak) is a heuristic for separating a second QP from the continuum, and the authors explicitly check that changing the threshold does not alter the outcome, so the 'loss of QP character' conclusion is not a definitional tautology. The main genuine limitation is stated near Eq. (4): the text justifies the non-crossing approximation only via Ref. [54] for the square-lattice AF, without establishing its accuracy for the two-branch altermagnet magnons. That is an approximation/correctness risk, not circularity, and it does not raise the circularity score.

Assumptions & free parameters 4 free parameters · 4 assumptions · 1 invented entities

All model parameters are inputs from prior literature or chosen consistency values; none were fitted to the spectral functions that constitute the central claim. The approximation stack (linear spin waves, non-crossing SCBA, small-cluster VCA) is standard for spin polaron physics but is not exact, so the quantitative spectral weights could shift with better numerics.

free parameters (4)
  • t' (NNN hopping, checkerboard) = varied, e.g. -0.5t and -0.2t
    Model parameter controlling sublattice-conserving hole motion; varied to explore strong and weak magnon coupling. Not fitted to data.
  • J' (NNN exchange, checkerboard) = up to 0.3t, with 0.15t used in main spectra
    Model parameter controlling altermagnetic exchange anisotropy; chosen to test robustness of spin-momentum locking.
  • U (Hubbard interaction in VCA) = 10t
    Chosen to match the t-J effective J = 4t^2/U = 0.4t used in SCBA; this matching is a consistency choice, not a fit to the spectral output.
  • LaVO3 model parameters (U, J_H, Delta) = U=14t, J_H=2t, Delta=-0.5t
    Taken from prior literature (Zhang, Koch, Pavarini, PRB 106, 115110 (2022)); not fitted in this paper.
assumptions (4)
  • domain assumption Linear spin-wave (Bogoliubov) treatment of the altermagnetic spin Hamiltonian, Eq. (3) and SM (S1)-(S7).
    Standard approach for ordered magnets; assumes small quantum fluctuations around Neel order and is valid for dominant J. The authors state they remain in the regime of dominant NN exchange (main text, paragraph after Eq. (2)).
  • domain assumption Non-crossing approximation in SCBA, Eq. (4), neglecting crossing magnon lines.
    Justified for square-lattice AF by Ref. [54], but not checked for altermagnets with J' and two magnon branches; this is the paper's weakest methodological premise.
  • domain assumption Spin projection approximately tied to sublattice, with quantum fluctuation correction in Eq. (S11).
    The relation between spin-resolved and sublattice Green's functions assumes the linear spin-wave ground state and that fluctuations only partially mix sublattice spin; the correction can be substantial for large J'.
  • domain assumption Variational cluster approximation with a ten-site cluster (checkerboard) and 2x2 plaquette (LaVO3) gives a faithful approximation to the lattice Green's function.
    Standard cluster method, but small cluster sizes are an approximation; no finite-size scaling is shown.
invented entities (1)
  • Altermagnetic polaron independent evidence
    purpose: Quasiparticle formed when a hole moving in an altermagnetic Mott insulator dresses itself with magnons; its spectral weight is spin-momentum locked.
    The paper predicts spin-resolved ARPES spectral signatures (spin-dependent spectral weight transfer) that can be measured, making this quasiparticle falsifiable.

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Cite this review

Pith. "Pith review of Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling." pith.science (2026). https://pith.science/paper/GRHA5F27

@misc{pith2026250603261,
  author       = {Pith},
  title        = {Pith review of: Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/GRHA5F27}},
  note         = {Machine review of arXiv:2506.03261}
}
abstract

While a spin-dependent band splitting is one of the characteristic features of altermagnets, the conventional band picture itself breaks down in the many altermagnets that are correlated Mott materials. We employ two numerical many-body methods, the self-consistent Born approximation and variational cluster approach, to explore this strongly correlated regime and investigate hole motion in Mott altermagnets. Our results reveal that spin-dependent spectral-weight transfer is the dominant signature of Mott altermagnetism. This pronounced spin-momentum locking of the quasiparticle spectral weight arises from the formation of altermagnetic polarons, whose dynamics are governed by the interplay between free hole motion and the coupling of the hole to magnon excitations in the altermagnet. We demonstrate this effect by calculating ARPES spectra for three canonical altermagnetic systems: the checkerboard $J$-$J'$ model, a variant describing the transition-metal--ion sites of the inverse Lieb lattice, and the Kugel-Khomskii spin-orbital altermagnet based on cubic vanadates RVO$_3$ (R=La, Pr, Nd, Y).

Figures

Figures reproduced from arXiv: 2506.03261 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Cartoon for hole propagation in the (generalized) checker [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. One-particle spectral density obtained with SCBA for the checkerboard model with [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. QP weights [ [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4. One-particle spectral density obtained with SCBA for spin [PITH_FULL_IMAGE:figures/full_fig_p003_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. Occupied states obtained with VCA for the three-orbital [PITH_FULL_IMAGE:figures/full_fig_p004_5.png]

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Strongly correlated altermagnet CaCrO$_3$

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    DFT+DMFT calculations identify CaCrO3 as a strongly correlated altermagnet and a Hund's metal, with Hund's coupling promoting altermagnetism-induced flat bands and heavy-fermion behavior.

Reference graph

Works this paper leans on

70 extracted references · 55 canonical work pages · cited by 1 Pith paper

  1. [54]

    Liu and E

    Z. Liu and E. Manousakis, Dynamical properties of a hole in a Heisenberg antiferromagnet, Phys. Rev. B45, 2425 (1992)

    work page 1992

  2. [1]

    ˇSmejkal, R

    L. ˇSmejkal, R. Gonz´alez-Hern´andez, T. Jungwirth, and J. Sinova, Crystal time-reversal symmetry breaking and spontaneous hall effect in collinear antiferromagnets, Science Advances6, eaaz8809 (2020)

    work page 2020

  3. [2]

    ˇSmejkal, J

    L. ˇSmejkal, J. Sinova, and T. Jungwirth, Emerging research land- scape of altermagnetism, Phys. Rev. X12, 040501 (2022)

    work page 2022

  4. [3]

    M. Naka, S. Hayami, H. Kusunose, Y . Yanagi, Y . Motome, and H. Seo, Spin current generation in organic antiferromagnets, Na- ture Communications10, 4305 (2019)

    work page 2019

  5. [4]

    L.-D. Yuan, Z. Wang, J.-W. Luo, E. I. Rashba, and A. Zunger, Gi- ant momentum-dependent spin splitting in centrosymmetric low- Z antiferromagnets, Phys. Rev. B102, 014422 (2020)

    work page 2020

  6. [5]

    M. Naka, Y . Motome, and H. Seo, Perovskite as a spin current generator, Phys. Rev. B103, 125114 (2021)

    work page 2021

  7. [6]

    Y . Guo, H. Liu, O. Janson, I. C. Fulga, J. van den Brink, and J. I. Facio, Spin-split collinear antiferromagnets: A large-scale ab-initio study, Materials Today Physics32, 100991 (2023)

    work page 2023

  8. [7]

    Smejkal, A

    L. Smejkal, A. H. MacDonald, J. Sinova, S. Nakatsuji, and T. Jungwirth, Anomalous Hall antiferromagnets, Nature Reviews Materials , 2058 (2022)

    work page 2022

Show all 70 references
  1. [8]

    T. Sato, S. Haddad, I. C. Fulga, F. F. Assaad, and J. van den Brink, Altermagnetic anomalous hall effect emerging from elec- tronic correlations, Phys. Rev. Lett.133, 086503 (2024)

    2024

  2. [9]

    P. A. McClarty and J. G. Rau, Landau theory of altermagnetism, Phys. Rev. Lett.132, 176702 (2024)

    2024

  3. [10]

    De Vita, C

    A. De Vita, C. Bigi, D. Romanin, M. D. Watson, V . Polewczyk, M. Zonno, F. Bertran, M. Bang Petersen, F. Motti, G. Vinai, M. Tuniz, F. Cilento, M. Cuoco, B. M. Andersen, A. Kreisel, L. Jacopo D’Onofrio, O. J. Clark, M. T. Edmonds, C. Cande- lora, M. Xu, S. Cheng, A. LaFleur, T...

    2025

  4. [11]

    Reimers, L

    S. Reimers, L. Odenbreit, L. ˇSmejkal, V . N. Strocov, P. Con- stantinou, A. B. Hellenes, R. Jaeschke Ubiergo, W. H. Campos, V . K. Bharadwaj, A. Chakraborty, T. Denneulin, W. Shi, R. E. Dunin-Borkowski, S. Das, M. Kl¨aui, J. Sinova, and M. Jourdan, Direct observation of alter...

    2024 doi

  5. [12]

    G. Yang, Z. Li, S. Yang, J. Li, H. Zheng, W. Zhu, Z. Pan, Y . Xu, S. Cao, W. Zhao, A. Jana, J. Zhang, M. Ye, Y . Song, L.-H. Hu, L. Yang, J. Fujii, I. V obornik, M. Shi, H. Yuan, Y . Zhang, Y . Xu, and Y . Liu, Three-dimensional mapping of the altermagnetic spin splitting in C...

    2025

  6. [13]

    M. Zeng, M. Zhu, Y . Zhu, X. Liu, X. Ma, Y . Hao, P. Liu, G. Qu, Y . Yang, Z. Jiang, K. Yamagami, M. Arita, X. Zhang, T. Shao, Y . Dai, K. Shimada, Z. Liu, M. Ye, Y . Huang, Q. Liu, and C. Liu, Observation of spin splitting in room-temperature metallic anti- ferromagnet CrSb, ...

    2024

  7. [14]

    J. Ding, Z. Jiang, X. Chen, Z. Tao, Z. Liu, T. Li, J. Liu, J. Sun, J. Cheng, J. Liu, Y . Yang, R. Zhang, L. Deng, W. Jing, Y . Huang, Y . Shi, M. Ye, S. Qiao, Y . Wang, Y . Guo, D. Feng, and D. Shen, Large band splitting ing-wave altermagnet CrSb, Phys. Rev. Lett.133, 206401 (2024)

    2024

  8. [15]

    C. Li, M. Hu, Z. Li, Y . Wang, W. Chen, B. Thiagarajan, M. Le- andersson, C. Polley, T. Kim, H. Liu, C. Fulga, M. G. Vergniory, O. Janson, O. Tjernberg, and J. van den Brink, Topological weyl altermagnetism in CrSb (2024), arXiv:2405.14777 [cond- mat.mtrl-sci]

    2024 arXiv

  9. [16]

    Krempask ´y, L

    J. Krempask ´y, L. ˇSmejkal, S. W. D’Souza, M. Hajlaoui, G. Springholz, K. Uhl ´ıˇrov´a, F. Alarab, P. C. Constantinou, V . Strocov, D. Usanov, W. R. Pudelko, R. Gonz´alez-Hern´andez, A. Birk Hellenes, Z. Jansa, H. Reichlov ´a, Z. ˇSob´a ˚A, R. D. Gon- zalez Betancourt, P. Wad...

    2024

  10. [17]

    Osumi, S

    T. Osumi, S. Souma, T. Aoyama, K. Yamauchi, A. Honma, K. Nakayama, T. Takahashi, K. Ohgushi, and T. Sato, Observa- tion of a giant band splitting in altermagnetic MnTe, Phys. Rev. B109, 115102 (2024)

    2024

  11. [18]

    Cuono, R

    G. Cuono, R. M. Sattigeri, J. Skolimowski, and C. Autieri, Orbital-selective altermagnetism and correlation-enhanced spin- splitting in strongly-correlated transition metal oxides, Journal of Magnetism and Magnetic Materials586, 171163 (2023)

    2023

  12. [19]

    C.-C. Wei, X. Li, S. Hatt, X. Huai, J. Liu, B. Singh, K.-M. Kim, R. M. Fernandes, P. Cardon, L. Zhao, T. T. Tran, B. A. Frandsen, K. S. Burch, F. Liu, and H. Ji,La2O3Mn2Se2: A correlated insu- lating layeredd-wave altermagnet, Phys. Rev. Mater.9, 024402 (2025)

    2025

  13. [20]

    Garcia-Gassull, A

    L. Garcia-Gassull, A. Razpopov, P. P. Stavropoulos, I. I. Mazin, and R. Valent ´ı, Microscopic origin of the magnetic interactions and their experimental signatures in altermag- netic La2O3Mn2Se2, arXiv e-prints , arXiv:2506.21661 (2025), arXiv:2506.21661 [cond-mat.str-el]

    2025 arXiv

  14. [21]

    J.-X. Zhu, R. Yu, H. Wang, L. L. Zhao, M. D. Jones, J. Dai, E. Abrahams, E. Morosan, M. Fang, and Q. Si, Band narrowing and mott localization in iron oxychalcogenides la2o2fe2O(Se,S) 2, Phys. Rev. Lett.104, 216405 (2010)

    2010

  15. [22]

    Kaushal and M

    N. Kaushal and M. Franz, Altermagnetism in modified lieb lat- tice hubbard model, Phys. Rev. Lett.135, 156502 (2025)

    2025

  16. [23]

    Damascelli, Z

    A. Damascelli, Z. Hussain, and Z.-X. Shen, Angle-resolved photoemission studies of the cuprate superconductors, Rev. Mod. Phys.75, 473 (2003)

    2003

  17. [24]

    P. A. Lee, N. Nagaosa, and X.-G. Wen, Doping a Mott insulator: Physics of high-temperature superconductivity, Rev. Mod. Phys. 78, 17 (2006)

    2006

  18. [25]

    Chang, I

    P.-H. Chang, I. I. Mazin, and K. D. Belashchenko, Inverse Lieb Materials: Altermagnetism and More, arXiv e-prints , arXiv:2508.04839 (2025), arXiv:2508.04839 [cond-mat.mtrl- sci]

    2025 arXiv

  19. [26]

    C. L. Kane, P. A. Lee, and N. Read, Motion of a single hole in a quantum antiferromagnet, Phys. Rev. B39, 6880 (1989)

    1989

  20. [27]

    Schmitt-Rink, C

    S. Schmitt-Rink, C. M. Varma, and A. E. Ruckenstein, Spectral 6 function of holes in a quantum antiferromagnet, Phys. Rev. Lett. 60, 2793 (1988)

    1988

  21. [28]

    Martinez and P

    G. Martinez and P. Horsch, Spin polarons in thet-jmodel, Phys. Rev. B44, 317 (1991)

    1991

  22. [29]

    Y . Wang, K. Wohlfeld, B. Moritz, C. J. Jia, M. van Veenendaal, K. Wu, C.-C. Chen, and T. P. Devereaux, Origin of strong disper- sion in Hubbard insulators, Phys. Rev. B92, 075119 (2015)

    2015

  23. [30]

    Y . Wang, Y . He, K. Wohlfeld, M. Hashimoto, E. W. Huang, D. Lu, S.-K. Mo, S. Komiya, C. Jia, B. Moritz, Z.-X. Shen, and T. P. Devereaux, Emergence of quasiparticles in a doped Mott insulator, Communications Physics3, 10.1038/s42005- 020-00480-5 (2020)

    2020 doi

  24. [31]

    Bacq-Labreuil, C

    B. Bacq-Labreuil, C. Fawaz, Y . Okazaki, Y . Obata, H. Cer- cellier, P. Le F `evre, F. m. c. Bertran, D. Santos-Cottin, H. Ya- mamoto, I. Yamada, M. Azuma, K. Horiba, H. Kumigashira, M. d’Astuto, S. Biermann, and B. Lenz, Universal waterfall feature in cuprate superconductors:...

    2025

  25. [32]

    Ronning, K

    F. Ronning, K. M. Shen, N. P. Armitage, A. Damascelli, D. H. Lu, Z.-X. Shen, L. L. Miller, and C. Kim, Anomalous high- energy dispersion in angle-resolved photoemission spectra from the insulating cuprateCa 2CuO2Cl2, Phys. Rev. B71, 094518 (2005)

    2005

  26. [33]

    B. O. Wells, Z. X. Shen, A. Matsuura, D. M. King, M. A. Kastner, M. Greven, and R. J. Birgeneau,eversuskrelations and many body effects in the model insulating copper oxide Sr2CuO2Cl2, Phys. Rev. Lett.74, 964 (1995)

    1995

  27. [34]

    H., Gog, T., van den Brink, J., Khaliullin, G., and Kim, B

    Kim, Jungho, Daghofer, M., Said, A. H., Gog, T., van den Brink, J., Khaliullin, G., and Kim, B. J., Excitonic quasiparti- cles in a spin–orbit Mott insulator, Nature Communications5, 4453 (2014)

    2014

  28. [35]

    Martinelli, K

    L. Martinelli, K. Wohlfeld, J. Pelliciari, R. Arpaia, N. B. Brookes, D. Di Castro, M. G. Fernandez, M. Kang, Y . Krocken- berger, K. Kummer, D. E. McNally, E. Paris, T. Schmitt, H. Ya- mamoto, A. Walters, K.-J. Zhou, L. Braicovich, R. Comin, M. M. Sala, T. P. Devereaux, M. Dag...

    2024

  29. [36]

    G. Ji, M. Xu, L. H. Kendrick, C. S. Chiu, J. C. Br ¨uggenj¨urgen, D. Greif, A. Bohrdt, F. Grusdt, E. Demler, M. Lebrat, and M. Greiner, Coupling a mobile hole to an antiferromagnetic spin background: Transient dynamics of a magnetic polaron, Phys. Rev. X11, 021022 (2021)

    2021

  30. [37]

    Koepsell, Joannis, Vijayan, Jayadev, Sompet, Pimonpan, Grusdt, Fabian, Hilker, Timon A., Demler, Eugene, Salomon, Guillaume, Bloch, Immanuel, and Gross, Christian, Imaging magnetic polarons in the doped Fermi–Hubbard model, Nature 572, 358 (2019)

    2019

  31. [38]

    M ¨uller, R

    T. M ¨uller, R. Thomale, S. Sachdev, and Y . Iqbal, Polaronic correlations from optimized ancilla wave functions for the fermi–hubbard model, Proceedings of the National Academy of Sciences122, 10.1073/pnas.2504261122 (2025)

    2025 doi

  32. [39]

    Giuli, C

    S. Giuli, C. Mejuto-Zaera, and M. Capone, Altermagnetism from interaction-driven itinerant magnetism, Phys. Rev. B111, L020401 (2025)

    2025

  33. [40]

    Ferrari and R

    F. Ferrari and R. Valent ´ı, Altermagnetism on the Shastry- Sutherland lattice, Phys. Rev. B110, 205140 (2024)

    2024

  34. [41]

    J. a. A. Sobral, S. Mandal, and M. S. Scheurer, Fractional- ized altermagnets: From neighboring and altermagnetic spin liq- uids to spin-symmetric band splitting, Phys. Rev. Res.7, 023152 (2025)

    2025

  35. [42]

    Del Re, Dirac points and topological phases in correlated altermagnets, Phys

    L. Del Re, Dirac points and topological phases in correlated altermagnets, Phys. Rev. Res.7, 033234 (2025)

    2025

  36. [43]

    ˇSmejkal, A

    L. ˇSmejkal, A. Marmodoro, K.-H. Ahn, R. Gonz ´alez- Hern´andez, I. Turek, S. Mankovsky, H. Ebert, S. W. D’Souza, O. c. v. ˇSipr, J. Sinova, and T. c. v. Jungwirth, Chiral magnons in altermagneticRuO 2, Phys. Rev. Lett.131, 256703 (2023)

    2023

  37. [44]

    Z. Liu, M. Ozeki, S. Asai, S. Itoh, and T. Masuda, Chiral split magnon in altermagnetic MnTe, Phys. Rev. Lett.133, 156702 (2024)

    2024

  38. [45]

    Fujioka, S

    J. Fujioka, S. Miyasaka, and Y . Tokura, Orbital disordering and the metal-insulator transition with hole doping in perovskite-type vanadium oxides, Phys. Rev. B72, 024460 (2005)

    2005

  39. [46]

    Miyasaka, T

    S. Miyasaka, T. Okuda, and Y . Tokura, Critical behavior of metal-insulator transition inLa 1−x Srx VO3, Phys. Rev. Lett.85, 5388 (2000)

    2000

  40. [47]

    Zhang, E

    X.-J. Zhang, E. Koch, and E. Pavarini,LaVO 3: A true Kugel- Khomskii system, Phys. Rev. B106, 115110 (2022)

    2022

  41. [48]

    V . Leeb, A. Mook, L. ˇSmejkal, and J. Knolle, Spontaneous for- mation of altermagnetism from orbital ordering, Phys. Rev. Lett. 132, 236701 (2024)

    2024

  42. [49]

    Martinez and P

    G. Martinez and P. Horsch, Spin polarons in thet-Jmodel, Phys. Rev. B44, 317 (1991)

    1991

  43. [50]

    Wohlfeld, M

    K. Wohlfeld, M. Daghofer, A. M. Ole´s, and P. Horsch, Spectral properties of orbital polarons in Mott insulators, Phys. Rev. B78, 214423 (2008)

    2008

  44. [51]

    Wohlfeld, A

    K. Wohlfeld, A. M. Ole ´s, and P. Horsch, Orbitally induced string formation in the spin-orbital polarons, Phys. Rev. B79, 224433 (2009)

    2009

  45. [52]

    Liu, Hubbard model on an anisotropic checkerboard lat- tice at finite temperatures: Magnetic and metal–insulator transi- tions, Chinese Physics B28, 107102 (2019)

    H.-D. Liu, Hubbard model on an anisotropic checkerboard lat- tice at finite temperatures: Magnetic and metal–insulator transi- tions, Chinese Physics B28, 107102 (2019)

    2019

  46. [53]

    See the Supplemental Material at

  47. [55]

    Potthoff, M

    M. Potthoff, M. Aichhorn, and C. Dahnken, Variational cluster approach to correlated electron systems in low dimensions, Phys. Rev. Lett.91, 206402 (2003)

    2003

  48. [56]

    Daghofer, K

    M. Daghofer, K. Wohlfeld, A. M. Ole ´s, E. Arrigoni, and P. Horsch, Absence of hole confinement in transition-metal oxides with orbital degeneracy, Phys. Rev. Lett.100, 066403 (2008)

    2008

  49. [57]

    Chakraborty and A

    D. Chakraborty and A. M. Black-Schaffer, Zero-field finite- momentum and field-induced superconductivity in altermagnets, Phys. Rev. B110, L060508 (2024)

    2024

  50. [58]

    Zhang, L.-H

    S.-B. Zhang, L.-H. Hu, and T. Neupert, Finite-momentum cooper pairing in proximitized altermagnets, Nature Communi- cations15, 1801 (2024)

    2024

  51. [59]

    Banerjee and M

    S. Banerjee and M. S. Scheurer, Altermagnetic superconducting diode effect, Phys. Rev. B110, 024503 (2024)

    2024

  52. [60]

    Y . Li, V . Leeb, K. Wohlfeld, R. Valent´ı, and J. Knolle,d-Wave Magnetism in Cuprates from Oxygen Moments, arXiv e-prints , arXiv:2412.11922 (2024), arXiv:2412.11922 [cond-mat.str-el]

    2024

  53. [61]

    V . C. Stangier, M. S. Scheurer, D. E. Sheehy, and J. Schmalian, Superconductivity of Incoherent Electrons near the Relativis- tic Mott Transition in Twisted Dirac Materials, arXiv e-prints , arXiv:2510.06313 (2025), arXiv:2510.06313 [cond-mat.str-el]

    2025 arXiv

  54. [62]

    V . C. Stangier, D. E. Sheehy, and J. Schmalian, Strong- coupling superconductivity near Gross-Neveu quantum critical- ity in Dirac systems, arXiv e-prints , arXiv:2509.25318 (2025), arXiv:2509.25318 [cond-mat.str-el]

    2025

  55. [63]

    P. W. Anderson, Is there glue in cuprate su- perconductors?, Science316, 1705 (2007), https://www.science.org/doi/pdf/10.1126/science.1140970

    2007 doi

  56. [64]

    J. R. Schrieffer, X.-G. Wen, and S.-C. Zhang, Spin-bag mecha- nism of high-temperature superconductivity, Phys. Rev. Lett.60, 944 (1988)

    1988

  57. [65]

    X. Dong, L. D. Re, A. Toschi, and E. Gull, Mechanism of su- 7 perconductivity in the Hubbard model at intermediate interaction strength, PNAS119, e2205048119 (2022)

    2022

  58. [66]

    Dong, Xinyang, Gull, Emanuel, and Millis, Andrew J., Quanti- fying the role of antiferromagnetic fluctuations in the supercon- ductivity of the doped Hubbard model, Nature Physics18, 1293 (2022)

    2022

  59. [67]

    Yamase, Spin-fluctuation glue disfavors high-critical tem- perature of superconductivity?, New Journal of Physics25, 083049 (2023)

    H. Yamase, Spin-fluctuation glue disfavors high-critical tem- perature of superconductivity?, New Journal of Physics25, 083049 (2023)

    2023

  60. [68]

    Chang, H

    J. Chang, H. Lu, J. Zhao, H.-G. Luo, and Y . Ding, Energy dis- persion, superconductivity, and magnetic fluctuations in stacked altermagnetic materials, Phys. Rev. B111, 104432 (2025)

    2025

  61. [69]

    X. Zhu, X. Huo, S. Feng, S.-B. Zhang, S. A. Yang, and H. Guo, Design of altermagnetic models from spin clusters, Phys. Rev. Lett.134, 166701 (2025)

    2025

  62. [70]

    Lanzini, P

    L. Lanzini, P. Das, and M. Knap, Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators, arXiv e-prints , arXiv:2506.03263 (2025), arXiv:2506.03263 [cond-mat.str-el]. SUPPLEMENTAL MA TERIAL: ALTERMAGNETIC POLARONS This supplemental material contai...

    2025 arXiv

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