Electronic Transport Evidence for Topological Nodal-Line Semimetals of ZrGeSe single crystals

Chen Chen; Guan-Yin Gao; Jie Yang; Lei Chen; Lei Guo; Ren-Kui Zheng; Shuai Dong; Ting-Wei Chen; Wei-Yao Zhao; Xiao-Guang Li

arxiv: 1907.04762 · v1 · pith:IL5LZGY7new · submitted 2019-07-10 · ❄️ cond-mat.mtrl-sci

Electronic Transport Evidence for Topological Nodal-Line Semimetals of ZrGeSe single crystals

Lei Guo , Ting-Wei Chen , Chen Chen , Lei Chen , Yang Zhang , Guan-Yin Gao , Jie Yang , Xiao-Guang Li

show 3 more authors

Wei-Yao Zhao Shuai Dong Ren-Kui Zheng

This is my paper

Pith reviewed 2026-05-24 23:35 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci

keywords ZrGeSetopological nodal-line semimetalShubnikov-de Haas oscillationsBerry phaseDirac fermionsmagnetoresistanceelectronic transport

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The pith

Transport measurements on ZrGeSe crystals show non-trivial Berry phase in Shubnikov-de Haas oscillations, establishing it as a topological nodal-line semimetal.

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

The paper reports electronic transport properties of high-quality ZrGeSe single crystals in magnetic fields up to 14 T. It observes resistivity plateaus and large non-saturating magnetoresistance at low temperatures. Analysis of temperature- and angular-dependent Shubnikov-de Haas oscillations fitted to the Lifshitz-Kosevich formula with Berry phase included demonstrates that Dirac fermions dominate the transport and that a non-trivial Berry phase is present. First principles calculations support Dirac bands near the Fermi surface. These findings classify ZrGeSe as a topological nodal-line semimetal.

Core claim

By analyzing the temperature- and angular-dependent Shubnikov-de Haas oscillations and fitting them via the Lifshitz-Kosevich formula with the Berry phase taken into account, the authors prove that Dirac fermions dominate the electronic transport behaviors of ZrGeSe and establish the presence of a non-trivial Berry phase. First principles calculations demonstrate that ZrGeSe possesses Dirac bands and normal bands near the Fermi surface, resulting in the observed magnetotransport phenomena. These results demonstrate that ZrGeSe is a topological nodal-line semimetal.

What carries the argument

Shubnikov-de Haas oscillations fitted to the Lifshitz-Kosevich formula that incorporates the Berry phase to reveal non-trivial topology from Dirac fermions.

If this is right

Dirac fermions dominate the electronic transport behaviors of ZrGeSe.
A non-trivial Berry phase is present in the oscillations.
ZrGeSe is a topological nodal-line semimetal.
First principles calculations confirm Dirac bands and normal bands near the Fermi surface.

Where Pith is reading between the lines

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

The same SdH analysis with Berry phase fitting could be used on related ZrGeX compounds to test for similar nodal-line features.
The observed large magnetoresistance may stem directly from the coexistence of Dirac and normal bands near the Fermi level.
Transport data combined with calculations offer a practical route to identify other nodal-line semimetals without relying solely on torque magnetometry.

Load-bearing premise

The Shubnikov-de Haas oscillations are assumed to arise predominantly from the Dirac bands near the Fermi surface without significant interference from trivial pockets or other scattering effects.

What would settle it

Observation of a trivial Berry phase of zero or pi in the fitted oscillations, or evidence that the oscillations originate from bands without linear dispersion.

read the original abstract

Although the band topology of ZrGeSe has been studied via magnetic torque technique, the electronic transport behaviors related to the relativistic Fermions in ZrGeSe are still unknown. Here, we first report systematic electronic transport properties of high-quality ZrGeSe single crystals under magnetic fields up to 14 T. Resistivity plateaus of temperature dependent resistivity curves both in the presence and absence of magnetic fields as well as large, non-saturating magnetoresistance in low-temperature region were observed. By analyzing the temperature- and angular-dependent Shubnikov-de Haas oscillations and fitting it via the Lifshitz-Kosevich (LK) formula with the Berry phase being taken into account, we proved that Dirac fermions dominate the electronic transport behaviors of ZrGeSe and the presence of non-trivial Berry phase. First principles calculations demonstrate that ZrGeSe possesses Dirac bands and normal bands near Fermi surface, resulting in the observed magnetotransport phenomena. These results demonstrate that ZrGeSe is a topological nodal-line semimetal, which provides a fundamentally important platform to study the quantum physics of topological semimetals.

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

First transport data on ZrGeSe with SdH and LK Berry-phase fit, but multi-band mixing at E_F leaves the Dirac-fermion attribution under-supported.

read the letter

The paper supplies the first reported magnetotransport measurements on ZrGeSe crystals, including temperature-, field-, and angle-dependent resistivity plus Shubnikov-de Haas oscillations fitted to the Lifshitz-Kosevich formula that includes a Berry-phase term. That is a straightforward extension of the earlier torque work and gives a new data set on a material already flagged as a nodal-line candidate by calculation and torque data. They also document large non-saturating MR and resistivity plateaus, which are consistent with the calculated coexistence of Dirac and normal bands at the Fermi surface. Those observations are useful raw material for the subfield. The LK analysis yields a non-trivial phase, and the angular dependence is shown, which is the sort of check people look for. The calculations are cited to explain why both types of bands are present, so the transport phenomenology is not claimed to be purely topological. The soft spot is exactly the one the stress-test note flags: the abstract states that Dirac fermions dominate the transport and that the Berry phase is proved non-trivial, yet the same calculations show normal bands also cross E_F. Standard LK fitting on a multi-band Fermi surface can return an effective phase that mixes contributions, and the abstract gives no error bars, no explicit frequency-to-pocket assignment, and no separate amplitude analysis to isolate the Dirac pockets. Without those steps the central claim is only partially anchored. The language “proved” is stronger than the evidence shown in the abstract. This is the kind of paper that belongs in a specialized journal on topological materials. A reader who already works on nodal-line compounds or wants transport signatures for follow-up experiments will get value from the data tables and figures. It is not a load-bearing flaw, just an incomplete separation of bands, so the work is coherent enough to send out for refereeing rather than desk-reject. I would recommend peer review with a request that the authors add the missing decomposition or error analysis on the LK fits.

Referee Report

2 major / 1 minor

Summary. The manuscript reports magnetotransport measurements (resistivity plateaus, large non-saturating MR, and temperature- and angle-dependent SdH oscillations up to 14 T) on high-quality ZrGeSe single crystals. Fitting the SdH data to the Lifshitz-Kosevich formula that incorporates a Berry-phase term leads the authors to conclude that Dirac fermions dominate the transport and that a non-trivial Berry phase is present; first-principles calculations showing coexisting Dirac and normal bands near E_F are invoked to explain the observed phenomena and to classify ZrGeSe as a topological nodal-line semimetal.

Significance. If the attribution of the observed SdH oscillations and extracted phase to the Dirac nodal-line bands can be made unambiguous, the work supplies transport evidence that complements earlier magnetic-torque results and positions ZrGeSe as an accessible platform for studying quantum oscillations in nodal-line systems. The combination of experimental SdH analysis with DFT band-structure input is a standard and useful approach in the field.

major comments (2)

[Abstract and LK-analysis paragraph] Abstract and LK-analysis paragraph: the central claim that 'Dirac fermions dominate the electronic transport behaviors' and that the non-trivial Berry phase is thereby proved rests on the assumption that the observed SdH frequencies arise predominantly from the Dirac pockets. First-principles calculations (cited in the abstract) explicitly show both Dirac and normal bands at the Fermi surface; no explicit decomposition (e.g., matching calculated extremal areas to measured frequencies, or temperature-dependent amplitude analysis isolating each pocket) is provided to exclude trivial-band contributions that can shift the effective phase extracted from the LK formula.
[SdH fitting section] SdH fitting section: the manuscript reports no error bars on the extracted Berry phase (or on the cyclotron mass), no raw oscillation traces, and no discussion of possible multi-band interference, Zeeman splitting, or differing scattering rates. These omissions make it impossible to assess the robustness of the phase value against the multi-band scenario acknowledged by the DFT results.

minor comments (1)

[Abstract] The abstract uses the word 'proved'; a more measured phrasing ('indicate' or 'support') would be appropriate given the multi-band context.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments. We respond to each major comment below and indicate the revisions we will make to address them.

read point-by-point responses

Referee: [Abstract and LK-analysis paragraph] Abstract and LK-analysis paragraph: the central claim that 'Dirac fermions dominate the electronic transport behaviors' and that the non-trivial Berry phase is thereby proved rests on the assumption that the observed SdH frequencies arise predominantly from the Dirac pockets. First-principles calculations (cited in the abstract) explicitly show both Dirac and normal bands at the Fermi surface; no explicit decomposition (e.g., matching calculated extremal areas to measured frequencies, or temperature-dependent amplitude analysis isolating each pocket) is provided to exclude trivial-band contributions that can shift the effective phase extracted from the LK formula.

Authors: We acknowledge that the DFT calculations indicate the presence of both Dirac and normal bands near the Fermi surface. The non-trivial Berry phase extracted from the LK fit provides evidence that the Dirac fermions play a dominant role in the observed quantum oscillations. However, to strengthen this attribution and address the referee's concern, we will include in the revised manuscript a detailed comparison between the calculated extremal cross-sectional areas of the Fermi surface pockets and the experimentally observed SdH frequencies. This will help identify the specific bands contributing to the transport signals. revision: yes
Referee: [SdH fitting section] SdH fitting section: the manuscript reports no error bars on the extracted Berry phase (or on the cyclotron mass), no raw oscillation traces, and no discussion of possible multi-band interference, Zeeman splitting, or differing scattering rates. These omissions make it impossible to assess the robustness of the phase value against the multi-band scenario acknowledged by the DFT results.

Authors: We agree with the need for error bars and additional discussion. In the revised manuscript, we will include error bars on the Berry phase and cyclotron mass values obtained from the LK fits. The raw SdH oscillation data will be presented more prominently, with reference to the supplementary information if necessary. We will also add a discussion section addressing potential multi-band interference, Zeeman effects, and scattering rate differences, arguing that the high crystal quality and the consistency across temperatures and angles support the robustness of our phase extraction. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is data-driven via standard LK fitting

full rationale

The paper extracts the Berry phase by fitting observed SdH oscillations to the Lifshitz-Kosevich formula (with the phase term included as a fit parameter) and separately invokes first-principles calculations to identify Dirac and normal bands at E_F. Neither step reduces to a self-definition, a fitted input renamed as a prediction, or a load-bearing self-citation chain; the central claim rests on experimental data analysis using an externally established formula rather than on any internal redefinition or tautology. The acknowledged multi-band scenario affects interpretative strength but does not create a circular reduction in the reported derivation.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The central claim rests on the applicability of the Lifshitz-Kosevich formula to the observed oscillations and on the accuracy of the first-principles band-structure calculation; both are standard but unverified in the abstract.

free parameters (2)

cyclotron effective mass
Extracted from the temperature damping factor of the SdH amplitude in the LK fit
Berry phase
Phase offset parameter fitted within the LK formula to the field-dependent oscillation data

axioms (2)

domain assumption The Lifshitz-Kosevich semiclassical formula accurately describes the SdH oscillations in ZrGeSe
Invoked when fitting the oscillations to extract the Berry phase
domain assumption Density-functional-theory band calculations correctly locate the Dirac nodal lines relative to the Fermi energy
Used to interpret the transport data as arising from topological bands

pith-pipeline@v0.9.0 · 5762 in / 1605 out tokens · 29194 ms · 2026-05-24T23:35:03.718243+00:00 · methodology

Electronic Transport Evidence for Topological Nodal-Line Semimetals of ZrGeSe single crystals

Core claim

What carries the argument

If this is right

Where Pith is reading between the lines

Load-bearing premise

What would settle it

discussion (0)