REVIEW 3 major objections 1 minor 1 references
Lifshitz transition in correlated topological semimetals
T0 review · 3 major / 1 minor · reviewed 2026-08-15 · deepseek-v4-flash
Pith's one-line read Electron correlations in YPtBi and GdPtBi create hole carriers and a temperature-driven Lifshitz transition.
desk verdict Plausible physics, but the wrong full text makes this unverifiable as submitted. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The carrying machinery is the temperature-dependent self-energy of the correlated $4d$ (YPtBi) and $4f$ (GdPtBi) electrons, obtained from a combination of ab initio GW theory (a many-body perturbation method where the self-energy is the product of the Green's function and the screened interaction) and dynamical mean-field theory, which embeds each correlated orbital in a self-consistent bath. In YPtBi this self-energy renormalizes the topological bands enough to open a hole pocket; in GdPtBi it produces Hubbard-like local bands associated with a topological singularity in the self-energy, which hybridize with the topological bands. The temperature dependence of this self-energy is what moves the chemical potential relative to the quadratic-band-touching point and drives the Lifshitz transition.
What would settle it
Measure the Fermi surface of YPtBi (or GdPtBi) by angle-resolved photoemission from high temperature down to the temperature where the calculation predicts the hole pocket to appear: if the hole pocket never appears, or appears only at high instead of low temperature, the correlation-driven transition is not there.
Extended reading notes
Core claim
The central claim is that electron-correlation effects in YPtBi and GdPtBi generate hole carriers and a temperature-dependent Lifshitz transition. In YPtBi, the quadratic-band-touching point sits at the Fermi level at high temperature, but enhanced correlations of the Y-4d electrons at low temperature renormalize the topological bands and form a hole pocket. In GdPtBi, the strongly correlated Gd-4f electrons produce Hubbard-like bands that originate from self-energy effects associated with a topological singularity; these local bands hybridize with the itinerant 4f and topological bands to create pronounced hole bands, and cooling moves the chemical potential closer to the quadratic-band-touching point. The temperature-induced Lifshitz transition is put forward as the reason large hole bands appear in low-temperature angle-resolved photoemission measurements of both materials.
Load-bearing premise
The whole picture rests on the GW+DMFT calculation placing the Fermi level at the right distance from the band-crossing point at each temperature; if the computed self-energy is wrong by even a small amount, the predicted hole pockets and the transition would not exist.
Editorial extensions
If this is right
- In YPtBi, the Fermi surface at low temperature should contain a hole pocket centered at the quadratic-band-touching point that disappears at higher temperature.
- In GdPtBi, cooling should reduce the hole doping, bringing the chemical potential closer to the quadratic-band-touching point.
- The large hole bands seen in low-temperature angle-resolved photoemission of YPtBi and GdPtBi are accounted for by the correlation-driven, temperature-induced Lifshitz transition rather than by band-structure effects alone.
- Temperature-dependent measurements of the Fermi-surface topology, such as quantum oscillations or transport coefficients, should show a signature of the same Lifshitz transition.
- The results identify electron correlations as a handle for tuning the topological band structure, since changing temperature (or correlation strength) moves the Fermi level relative to the topological crossing.
Reading between the lines
- If the same correlation mechanism operates in other half-Heusler or rare-earth topological semimetals, those materials should also show temperature-dependent Fermi-surface reconstruction, a testable prediction beyond the two compounds studied.
- Because the hole-pocket formation is tied to the $4d/4f$ self-energy, alloying or pressure that shifts these levels or the screening strength could move the Lifshitz-transition temperature, giving a way to engineer the transition.
- The paper's claim implies that even weakly correlated bands (Y-4d) can have strong enough temperature-dependent renormalization to change Fermi-surface topology, so other 'weakly correlated' topological materials may host similar transitions that non-interacting band theory would miss.
- The supplied full-text section appears to be a different manuscript, so this extraction relies on the abstract alone; the quantitative details needed to test the claim (interaction parameters, impurity solver, convergence) are not in the available text.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript, identified as arXiv:2508.08598 (cond-mat.str-el), claims to study the correlated topological semimetals YPtBi and GdPtBi using ab initio GW plus dynamical mean-field theory. The abstract asserts that correlation effects of 4d (Y) or 4f (Gd) electrons generate hole carriers, leading to a temperature-induced Lifshitz transition that explains the large hole bands seen in low-temperature ARPES measurements. However, the full text supplied with the submission is an unrelated manuscript on interactive video generation, titled "Yan: Foundational Interactive Video Generation," which contains no equations, methods, data, or discussion of YPtBi, GdPtBi, GW, DMFT, or Lifshitz transitions. The only scientific content is the abstract itself.
Significance. If the claimed result holds, it would provide a concrete mechanism for carrier sign reversal and a temperature-driven Lifshitz transition in half-Heusler topological semimetals, offering an explanation for previously puzzling ARPES observations and pointing to correlations as a design handle for Fermi-surface topology. The claimed integration of GW+DMFT to capture both weakly correlated 4d and strongly correlated 4f electrons is methodologically ambitious and, if quantitatively validated, would be a notable advance. However, because the submitted artifact provides no computational details, no error estimates, and no comparison with experiment beyond a qualitative statement, the significance cannot currently be assessed beyond the abstract's assertion. The paper ships no machine-checked proofs, no reproducible code, and no parameter-free derivations.
major comments (3)
- [Full text (entire submission)] The full text of this submission is the unrelated manuscript "Yan: Foundational Interactive Video Generation" (apparently arXiv:2508.08601v3), which contains no mention of YPtBi, GdPtBi, GW, DMFT, topological semimetals, Lifshitz transitions, or ARPES. There is therefore no methods section, no Hamiltonian, no self-energy construction, no interaction parameters, no impurity solver details, and no results that could support the abstract's central claim. This is a verification failure: the scientific argument is entirely absent from the submitted artifact.
- [Abstract] The central claim that correlated Y-4d or Gd-4f electrons produce hole pockets and a temperature-induced Lifshitz transition is stated without any quantitative support. The abstract gives no equations, no band-structure data, no spectral functions, no temperature-dependent self-energy, and no values for U or J, so it is impossible to check whether the predicted Fermi-level shift relative to the quadratic-band-touching point is a robust result or an artifact of the chosen parameters. The load-bearing premise that the GW+DMFT self-energy is quantitatively accurate in the relevant temperature window is asserted but not demonstrated.
- [Abstract (temperature dependence)] The abstract claims that in YPtBi "at low temperatures, enhanced correlations of Y-4d renormalize the topological bands" and that in GdPtBi the chemical potential moves closer to the quadratic-band-touching points as temperature is lowered. No description is given of how the temperature dependence enters the calculation (e.g., through the Matsubara grid, the impurity solver, or the self-energy construction), nor is any comparison with temperature-resolved ARPES shown. Thus the central "temperature-induced" character of the Lifshitz transition is not supported by any presented evidence.
minor comments (1)
- [Abstract, sentence about GdPtBi] The phrase "the Hubbard-like bands originate from self-energy effects" is grammatically incomplete; it likely intends "the Hubbard-like bands originate from self-energy effects associated with a topological singularity." Proofreading of this sentence would improve readability, though this is a presentation issue rather than a substantive one.
Circularity Check
No circularity demonstrated: the claimed GW+DMFT derivation is absent from the submitted artifact, so no prediction can be shown to reduce to its inputs.
full rationale
The abstract claims that GW+DMFT calculations reveal correlation-induced hole carriers and a temperature-induced Lifshitz transition in YPtBi and GdPtBi, and that this transition should be responsible for the large hole bands observed in ARPES. However, the full text under arXiv:2508.08598 is arXiv:2508.08601v3, an unrelated video-generation manuscript containing no methods, equations, self-energy construction, impurity-solver details, interaction parameters, or results for YPtBi or GdPtBi. There is therefore no derivation chain to walk and no quoted equation or explicit reduction from a fitted parameter to a predicted quantity. The phrase 'should be responsible for the large hole bands observed' is an interpretive comparison to experiment, not evidence that the calculation was fitted to those bands. Under the hard rules requiring specific quoted reductions or load-bearing self-citation chains, no circular step can be exhibited. The honest finding is that the scientific claim is unverifiable from the provided artifact, not that it is circular. Score 0 reflects the absence of demonstrated circularity rather than endorsement of the physics.
Assumptions & free parameters
assumptions (3)
- domain assumption GW+DMFT captures the correlation physics of 4d/4f electrons well enough to determine Fermi surface topology and self-energy structure.
- domain assumption The quadratic-band-touching point is the correct uncorrelated reference, and chemical potential shifts are governed by the evolving self-energy.
- domain assumption The ARPES measurements cited as showing large hole bands at low temperature are accurate and correctly interpreted.
Cite this review
Pith. "Pith review of Lifshitz transition in correlated topological semimetals." pith.science (2026). https://pith.science/paper/N5K726R5
@misc{pith2026250808598,
author = {Pith},
title = {Pith review of: Lifshitz transition in correlated topological semimetals},
year = {2026},
howpublished = {\url{https://pith.science/paper/N5K726R5}},
note = {Machine review of arXiv:2508.08598}
}
abstract
Topological quasiparticles, arising when the chemical potential is near the band crossing, are pivotal for the development of next-generation quantum devices. They are expected to exist in half-Heusler correlated topological semimetals. However, the emergence of hole carriers, which alter the chemical potential away from the quadratic-band-touching points is not yet understood. Here, we investigated the electronic structure of YPtBi and GdPtBi through ab initio many-body perturbation GW theory combined with dynamical mean-field theory and revealed that the correlation effects of 4$d$ or 4$f$ electrons can lead to the formation of hole carriers. In YPtBi, the weakly correlated Y-4$d$ electrons constitute the topological bands, and the quadratic-band-touching point is at the Fermi level at high temperatures. At low temperatures, enhanced correlations of Y-4$d$ renormalize the topological bands, leading to the formation of hole pocket. In GdPtBi, the strongly correlated Gd-4$f$ electrons form the Hubbard-like bands originate from self-energy effects associated with a topological singularity. These local bands encompass itinerant 4$f$ bands, which hybridize with topological bands to induce pronounced hole bands. This concerted effect reduces the hole doping, bringing the chemical potential closer to the quadratic-band-touching points as the temperature is lowered. The temperature-induced Lifshitz transition should be responsible for the large hole bands observed in both topological semimetals in angle-resolved photoemission spectroscopy measurements at low temperatures. Our findings indicate that the integration of correlated fermions within a topological framework can modulate the energy landscape of topological bands.
Reference graph
Works this paper leans on
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[1]
Yan supports real-time interactive video generation, with all interactions driven by user input
Yan: Foundational Interactive Video Generation Yan Team Tencent Figure 1:Comprehensive capabilities ofYan. Yan supports real-time interactive video generation, with all interactions driven by user input. It offers a wide range of capabilities, including AAA-level simulations, multi- modal generation, and multi-granularity editing. Notably, during the edit...
arXiv 2025
Reviewed August 15, 2026 · model on record in the stance chip above.
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