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REVIEW 2 major objections 6 minor 259 references

Recent Advances in Unconventional Ferroelectrics and Multiferroics

T0 review · 2 major / 6 minor · reviewed 2026-08-05 · deepseek-v4-flash

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Pith's one-line read This review argues that ferroelectricity has expanded far beyond the textbook picture of polar crystals with small ionic displacements: it now includes oxygen-displaced HfO2, single-element monolayers, interlayer sliding in van der Waals st

desk verdict Broad and useful review of unconventional ferroelectrics, but the FQFE section overreaches and misuses Neumann's principle. read the letter →

arxiv 2509.00384 v1 pith:WY4QMXFE submitted 2025-08-30 cond-mat.mtrl-sci physics.chem-ph

Hongyu Yu , Junyi Ji , Wei Luo , Xingao Gong , Hongjun Xiang This is my paper
classification cond-mat.mtrl-sciphysics.chem-ph PACS 77.80.-e75.85.+t
keywords ferroicmaterialsmultiferroicsunconventionalferroelectricshafniumoxideslidingferroelectricitypolarmetalsfractionalquantumaltermagnetism
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 review tries to establish that ferroelectricity, long defined by polar crystal classes and small ionic displacements, now spans a much wider set of mechanisms. It surveys seven families of unconventional ferroelectrics—HfO2-based films where oxygen ions move, single-element monolayers and nanowires, van der Waals stacking order, polar metals, fractional quantum ferroelectrics, wurtzite nitrides, and freestanding membranes—and argues that together they expand the material pool for nanoscale memory, neuromorphic computing, and flexible electronics. A central conceptual claim is that fractional quantum ferroelectricity allows polarization directions forbidden by the crystal's point group, so the standard symmetry-based search for ferroelectrics is incomplete. The review also argues that multiferroic coupling now extends to magnetic skyrmions, altermagnets, and valley polarization, making electric-field control of magnetism and valley states a realistic route for next-generation spintronics. If the survey is right, the practical consequence is that ferroelectric and multiferroic functionality is available in silicon-compatible, ultrathin, flexible, and even metallic platforms.

What carries the argument

The load-bearing machinery is a set of polarization-generation mechanisms, each tied to a symmetry operation or structural distortion: oxygen-sublattice displacement in HfO2; lone-pair buckling in element monolayers; the interlayer registry operation (tau_z O) in van der Waals bilayers; geometric and improper polar distortions that survive metallic screening (LiOsO3, WTe2); and, most conceptually novel, fractional lattice-vector displacements whose polarization difference is a non-integer multiple of the polarization quantum and is not invariant under the low-symmetry phase's point group—the signature of FQFE. For wurtzite systems the key distinction is collective versus individual tetrahedr

What would settle it

Measure, in a single-domain monolayer of α-In2Se3 or another predicted FQFE system, the in-plane polarization after full ferroelectric switching using local piezoresponse or second-harmonic methods; if the switched in-plane component is absent, zero, or an integer multiple of the polarization quantum rather than the predicted fractional value (about 1/3 of the quantum along [120] in the hexagonal model), the FQFE mechanism as presented fails. Equivalently, recompute P1−P2 on a consistent branch of the Berry-phase polarization and check whether the difference is actually invariant under C3z, si

Watch

Extended reading notes

Core claim

The paper's central claim is that ferroelectricity has escaped the textbook definition requiring a polar point group and small ionic displacements. Each unconventional family replaces one pillar of that picture: HfO2 films switch by displacing oxygen rather than cations; group-V monolayers and Te nanowires polarize through lone-pair-driven buckling in a single element; h-BN and TMD bilayers acquire polarization from stacking registry; WTe2 shows metallicity does not screen switchable polarization; fractional quantum ferroelectricity (FQFE) involves ion shifts by a fraction of a lattice vector, with a polarization difference that violates Neumann's principle—exemplified by α-In2Se3, AgBr, and

Load-bearing premise

The load-bearing premise is that the polarization difference between two symmetrically equivalent low-symmetry phases is non-zero and fractionally quantized even when the phase's point group forbids a polarization in that direction; if that modern-theory reading is wrong, the FQFE section loses its footing.

Editorial extensions

If this is right

  • HfO2-based ferroelectrics can sustain nanoscale, CMOS-compatible ferroelectricity, supporting ferroelectric RAM and neuromorphic synapses on existing fabrication lines.
  • Ultrathin elemental and stacking ferroelectrics should operate at room temperature—Bi monolayers, Te nanowires, h-BN bilayers—opening high-density and flexible memory.
  • Switchable polarization in metallic WTe2 up to 350 K shows that metallicity and ferroelectricity are compatible in two dimensions, so more 2D polar metals are likely.
  • FQFE should extend ferroelectric search to non-polar space groups; predicted low-barrier candidates (AgBr about 22 meV/f.u., HgI2 about 68 meV/f.u.) may switch at low power.
  • Altermagnetic multiferroics and ferrovalley-ferroelectric materials should allow electric-field write and optical or electrical read of magnetic and valley states, a basis for low-power spintronics and valleytronics.

Reading between the lines

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

  • If FQFE's violation of Neumann's principle holds, the standard criterion that a ferroelectric must have a polar point group has been undercounting: screening non-polar space groups for fractional displacements could reveal many more candidates than the few listed.
  • The collective-to-individual switching crossover seen in wurtzites at roughly x = 0.22–0.28 suggests composition can be tuned to lower coercive field and speed switching; using crossover engineering as a design rule is an extension the review only sketches.
  • Ferroelectric control of altermagnetism probably generalizes beyond MnPSe3: any altermagnet whose spin-space rotation symmetry is tied to a polar distortion is a candidate for electric-field inversion of spin polarization, including possible higher-temperature materials from candidate lists like BaCuF4 and Ca3Mn2O7.
  • In freestanding membranes, strain gradients from bending act as a switch knob; a testable extension is local mechanical writing of ferroelectric domains with a strain-gradient tip.
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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

2 major / 6 minor

Summary. The paper is a review-style survey of unconventional ferroelectric and multiferroic materials. It is organized into an introduction, seven subsections on unconventional ferroelectrics (Hf-based, elementary, stacking, polar metals, FQFE, wurtzite, freestanding membranes), and a section on multiferroics with subsections on skyrmion-ferroelectric coupling, altermagnet-ferroelectric coupling, and ferrovalley-ferroelectric coupling, followed by perspectives. The aim is to present a systematic and accurate recent progress report and to highlight open challenges.

Significance. If the survey were fully accurate, it would be a valuable entry point into an active interdisciplinary field, especially because it brings together very recent literature (2023-2025) and covers topics not yet in standard textbooks. The review is clearly structured and includes useful figures. Its main added value beyond a compilation is Section 2.5, which presents fractional quantum ferroelectricity as a new concept. That section, however, makes a strong conceptual claim--the violation of Neumann's principle--that is not settled and is presented without the qualifications used elsewhere in the manuscript. This weakens the review's reliability as a balanced survey. The rest of the review largely reports on established or openly debated results and is a useful resource after revision.

major comments (2)
  1. [Section 2.5 (esp. paragraph beginning 'A defining feature of FQFE...' and Fig. 5)] The claim that FQFE violates Neumann's principle is presented as established, but the construction in the same section does not support it. Both low-symmetry phases L1 and L2 are assigned to point group D3h, a non-polar group. By Neumann's principle, a single D3h phase has zero spontaneous polarization; the nonzero quantity is ΔP = P1 - P2, the difference between two distinct symmetry-equivalent phases along a chosen path. A polarization difference is not a single-phase property tensor, so it cannot by itself violate Neumann's principle. The statement that 'the direction of polarization in FQFE is not constrained by the symmetry of the polar phase' is therefore a proposed interpretation, not an established result. This distinction should be made explicit, and the claim should be attributed to the proposal of refs [17,31] with appropriate caveats.
  2. [Section 2.5 (examples, α-In2Se3, AgBr, HgI2)] These systems are presented as definite FQFE materials with computed polarizations and switching barriers, with no qualification that the underlying interpretation is recent and rests on the authors' own DFT calculations (refs [17,31]). The Section 2 preamble warns that switchable ferroelectricity remains to be unambiguously demonstrated in some unconventional systems, but that caveat is not applied here. AgBr and HgI2 are theoretical predictions, not experimentally switched. The review should label these as predictions, note the absence of independent experimental verification, and state explicitly that the FQFE framework is currently a proposal under discussion.
minor comments (6)
  1. [Figure 5 caption] The caption cites 'Reproduced with permission.[27] Copyright 2023, IOP Springer Nature Limited.' Reference [27] is Gui & Huang, J. Phys.: Condens. Matter 2025, 37, 113005; the FQFE concept is from refs [17,31]. Correct the source and copyright details.
  2. [References [173] and [181]] These are the same paper (Appl. Phys. Lett. 2020, 116, 222904) and should be consolidated to avoid duplicate citation.
  3. [Reference [179]] This reference is malformed: 'Guo Changqing, Yang Letao, Wang Jing, Huang Houbing, ... Acta Phys. Sinica 2025, 74, 0' lacks a proper title and article identifier. Please fix.
  4. [Author affiliations] Minor typo: 'Arknasas' should be 'Arkansas'.
  5. [Section 2.4] The text uses 'Ca3Ru3O7' for the Ruddlesden-Popper hybrid improper ferroelectric and 'Ca3Ru2O7' in the Type III taxonomy; one of these is inconsistent and should be corrected.
  6. [Figure captions 9 and 10] Some captions list mismatched journal/copyright information (e.g., Fig. 9 lists 'Copyright 2017, American Chemical Society' for ref [214], which is Phys. Rev. B 2022; Fig. 10 lists 'Copyright 2017' for ref [14], which is Phys. Rev. X 2022). Please re-check all permission statements.

Circularity Check

1 steps flagged · score 6.0 of 10

FQFE section's 'Neumann violation' is built into the definition of ΔP; the rest of the review is an independent survey.

  1. self definitional [Section 2.5, FQFE concept and Fig. 5 caption]
    "Both phases belong to space group P -6m2 with point group D3h, which is a non-polar point group. ... Since only M moves, the blue, red, and green arrows can also represent P1 (polarization of L1), P2 (polarization of L2), and ΔP (polarization difference between low symmetry phases), respectively. ΔP cannot be invariant under a point symmetry operation (C3z) of the low-symmetry phase, which leads to the FQFE. ... A defining feature of FQFE is its violation of Neumann’s principle. The direction of polarization in FQFE is not constrained by the symmetry of the polar phase, challenging the convent"

    FQFE is defined via the two-phase polarization difference ΔP = P1 − P2. The text states that L1 and L2 both have non-polar D3h symmetry, so by Neumann's principle any single-phase equilibrium polarization of L1 or L2 must vanish; only the constructed difference ΔP can transform nontrivially under C3z. The caption assigns the green arrow ΔP the status of 'polarization difference' and then says this non-invariance 'leads to FQFE'; the body then elevates this to a 'defining feature' of FQFE that it 'violates Neumann’s principle.' The violation is therefore not derived from MTP or from a symmetry analysis of a polar phase; it is an immediate restatement of the chosen definition of ΔP as the FQFE order parameter. The examples (α-In2Se3, AgBr, HgI2) and the symmetry strategy come from the author

full rationale

Most of the paper is a literature survey: the Hf-based, elementary, stacking, polar-metal, wurtzite, freestanding-membrane, skyrmion, altermagnet, and ferrovalley sections mostly summarize external experimental and computational results. The self-citations to the Xiang group's prior DFT work are largely normal review practice and are not load-bearing in a circular sense. The FQFE subsection, however, is the exception. It constructs a model in which L1 and L2 are non-polar (D3h) and defines the order parameter as ΔP = P1 − P2. The statement that ΔP is not invariant under C3z is a property of this two-phase difference; it does not establish a violation of Neumann's principle, which constrains a single-phase equilibrium tensor. By labeling this non-invariance as the 'defining feature' of FQFE and as a 'violation of Neumann’s principle,' the review's conceptual claim is circular: the conclusion is contained in the definition of ΔP. The review's own Section 2 preamble cautions that 'in some unconventional ferroelectrics, switchable ferroelectricity remains to be unambiguously demonstrated,' but Section 2.5 does not apply this caveat and instead states that a calculated 40 meV/f.u. barrier in α-In2Se3 'confirm[s] that the FQFE can indeed be realized experimentally.' That is an overstatement, but the circularity itself is the definitional identification of ΔP with a symmetry-forbidden polarization. Overall, the paper is not globally circular; the central review claim retains independent content, but the FQFE subsection's headline claim reduces to its own definition, warranting a partial-circularity score.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

This is a review; it introduces no new free parameters, entities, or derivations. It does rely on the assumption that the cited literature is correct, and on the authors' own prior formulation of FQFE.

assumptions (2)
  • domain assumption The accuracy and validity of the primary literature cited in the review, including experimental measurements and first-principles calculations, is assumed without independent verification.
    The review summarizes results from many papers and does not reproduce or check any of the underlying data.
  • domain assumption The fractional quantum ferroelectricity (FQFE) concept, as developed in refs [17,31], is a valid interpretation of the polarization difference between symmetrically equivalent phases; the review treats this as established and does not present counterarguments.
    The review's Section 2.5 relies on the authors' own prior work to define FQFE and assert its violation of Neumann's principle; if this interpretation is challenged, the section's conclusions would be undermined.

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Cite this review

Pith. "Pith review of Recent Advances in Unconventional Ferroelectrics and Multiferroics." pith.science (2026). https://pith.science/paper/WY4QMXFE

@misc{pith2026250900384,
  author       = {Pith},
  title        = {Pith review of: Recent Advances in Unconventional Ferroelectrics and Multiferroics},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/WY4QMXFE}},
  note         = {Machine review of arXiv:2509.00384}
}
read the original abstract

Emerging ferroic materials may pave a new way to next-generation nanoelectronic and spintronic devices due to their interesting physical properties. Here, we systematically review unconventional ferroelectric systems, from Hf-based and elementary ferroelectrics to stacking ferroelectricity, polar metallicity, fractional quantum ferroelectricity, wurtzite-type ferroelectricity, and freestanding membranes ferroelectricity. Moreover, multiferroic materials are reviewed, particularly the interplay between novel magnetic states and ferroelectricity, as well as ferrovalley-ferroelectric coupling. Finally, we conclude by discussing current challenges and future opportunities in this field.

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