REVIEW 3 major objections 6 minor 60 references
Diverse edge states of nanoribbons and excitonic insulator states of the monolayer Ta2Ni3Te5
T0 review · 3 major / 6 minor · reviewed 2026-08-07 · deepseek-v4-flash
Pith's one-line read The paper predicts that a monolayer of Ta2Ni3Te5 is an excitonic insulator, with first dark exciton binding energy 285–586 meV exceeding the 95–169 meV band gap, while nanoribbon edge termination tunes metallic/semiconducting and magnetic…
desk verdict Solid nanoribbon study, but the excitonic-insulator claim rests on a circular scissor and should be re-framed as a hypothesis. 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 load-bearing object is the exciton binding energy $E_b = E_g - E_{\mathrm{exc}}$, computed by the Bethe-Salpeter equation (the many-body equation for correlated electron-hole pairs) and by a metaGGA-based modified BSE that replaces full GW with a screened hybrid-style kernel. The excitonic-insulator condition is simply $E_b > E_g$: the lowest exciton is pulled below the conduction band edge, so the ground state should contain a finite density of excitons. The paper's strongest evidence is the first dark exciton at $-0.195$ eV in the scissor-adjusted BSE and binding energies of $0.586$ eV (LAK) and $0.592$ eV (r2SCAN) against gaps of $0.153$ and $0.169$ eV. For the nanoribbons, the operative mechanism is edge chemistry: the Ni $d$-orbital occupation changes with H versus F saturation and ribbon width, which flips the system between semiconducting, metallic, and magnetically ordered edge states.
What would settle it
Measure the monolayer's quasiparticle band gap directly with ARPES or with tunneling spectroscopy configured to resolve single-particle states: a gap near 417 meV would refute the EI claim because the paper's own unscissored BSE calculation then puts the first dark exciton at +0.14 eV, above the gap. A temperature-dependent gap renormalization in STS or optical absorption below a critical temperature would support it.
Extended reading notes
Core claim
On its own terms, the central discovery is that the Ta2Ni3Te5 monolayer is an excitonic insulator. After the G0W0 band gap is scissor-corrected to 95 meV to match the experimental STS gap, the Bethe-Salpeter calculation places the first dark exciton at −0.195 eV, giving a binding energy of 285 meV that exceeds the gap; the r2SCAN and LAK based modified BSE calculations give binding energies of 490–586 meV against gaps of 153–169 meV. These negative-energy excitons imply that the low-energy excitations are excitonic rather than single-particle, which the authors use to explain why the STS gap (90–100 meV) is far smaller than the G0W0 quasiparticle gap (417 meV). The same study reports that Ni-edged or Ta-edged nanoribbons host conducting, semiconducting, or semimetallic bands with edge magnetism controlled by termination chemistry, with ferromagnetic edge Ni atoms in F-saturated ribbons and antiferromagnetic coupling in the widest ribbon.
Load-bearing premise
The result rests on treating the 90–100 meV STS gap as the quasiparticle gap in the BSE calculation even though the paper also argues that this measured gap is a renormalized excitonic gap; if the true quasiparticle gap is the unadjusted G0W0 value of 417 meV, the first dark exciton sits above the gap and the excitonic insulator claim fails.
Editorial extensions
If this is right
- Monolayer Ta2Ni3Te5 should show a low-energy optical response governed by a dark exciton below the gap, with strong in-plane anisotropy; absorption along the chains peaks near 0.2 eV.
- The 90–100 meV gap seen by STS should be interpreted as a renormalized excitonic gap, not the quasiparticle gap, so combined GW/BSE calculations are needed to interpret such measurements in this material.
- F-saturated Ni-edged nanoribbons are predicted to conduct through edge Ni d-channels with ferromagnetic (narrow) or antiferromagnetic (wide) edge ordering, making them candidate spin-current channels.
- H-saturated Ta-edged nanoribbons (4TNTrb-Ta-H, 6TNTrb-Ta-H) are direct-gap semiconductors with quasi-1D conduction and approximately Dirac-like band crossings near Γ, good settings for Luttinger-liquid or correlated-edge physics.
- The predicted EI state does not change the Z2 number, so exciton condensation and second-order topological corner states may coexist in the monolayer.
Reading between the lines
- Editorial inference: if the EI picture is right, temperature-dependent STS or ARPES on monolayer Ta2Ni3Te5 should reveal a gap that closes or renormalizes at a condensation temperature, analogous to observations in Ta2Pd3Te5; the paper does not predict that temperature.
- Editorial inference: because the unadjusted G0W0+BSE calculation places the first dark exciton at +0.14 eV (binding 276 meV, below the 417 meV gap), a single experimental determination of the quasiparticle gap would decide the matter without further modeling.
- Editorial inference: the ~1.5 nm exciton extent along Ta chains suggests dielectric environment and strain should tune Eb across the EI boundary, which could be tested by placing the monolayer on different substrates or applying uniaxial strain.
- Editorial inference: the nanoribbon rule implied by the calculations—fluorine withdraws charge from edge Ni and switches hydrogen-passivated semiconductors to ferromagnetic metals—could be tested by edge-selective STS and transport on patterned ribbons.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports two sets of first-principles results for Ta2Ni3Te5. First, it presents DFT (r2SCAN+SOC) calculations for fifteen nanoribbons with Ni or Ta edges and H/F passivation, finding tunable metallic, semimetallic, and semiconducting behaviors with gaps of 29.7–60.8 meV, and ferromagnetic or antiferromagnetic edge magnetism depending on width and saturation. Second, it presents G0W0+BSE and metaGGA-based modified BSE (mBSE) calculations for the monolayer, claiming that the monolayer is an excitonic insulator with the lowest exciton binding energy (285–586 meV) exceeding the band gap (95–169 meV). The excitonic-insulator conclusion is supported in Section 3.4 by a scissored G0W0+BSE calculation in which the quasiparticle gap is artificially lowered from 417 meV to 95 meV, and by mBSE results with screening parameters fitted to an RPA dielectric function.
Significance. If the excitonic-insulator claim were correct, it would be notable because monolayer Ta2Ni3Te5 is also predicted to be a second-order topological insulator, and the coexistence of excitonic and topological order is an active topic. The nanoribbon results provide a systematic catalog of edge chemistry, magnetism, and band-gap tuning that could be useful for nanoelectronics and spintronics. The paper also includes standard many-body calculations and presents machine-readable-like details of the computational setups. However, the central claim of the paper—the excitonic insulator state—rests on a circular scissor operation and on a model method with parameter sensitivity that is not resolved against the unscissored G0W0+BSE result. The nanoribbon part is sound but secondary; the headline conclusion is not established.
major comments (3)
- [Section 3.4 and Section 3.1] The central excitonic-insulator claim is based on a circular argument. Section 3.1 states that the experimental STS gap of 90–100 meV 'likely represents a renormalized excitonic gap rather than the quasiparticle band gap.' Section 3.4 then applies a scissor operation to lower the G0W0 quasiparticle gap to 95 meV—the STS value—and reports a first dark exciton at -0.195 eV with binding energy 285 meV, which is presented as 'confirming that the Ta2Ni3Te5 monolayer is an excitonic insulator.' But the BSE Hamiltonian requires the quasiparticle (single-particle addition/removal) gap as input. The authors have already assumed that the 95 meV STS gap is the excitonic gap, so using it as the quasiparticle gap builds the excitonic-insulator conclusion into the calculation. The unscissored G0W0+BSE result shown in Figure 6(d) gives a dark exciton at +0.14 eV with binding energy 276 meV against a 417 meV gap, which is a normal bound exciton, not an excitonic insulator. Under a rigid scissor, the exciton energy shifts approximately linearly with the gap reduction, so any input gap below roughly 276 meV automatically yields a negative exciton energy; the negative sign is forced by the chosen input, not derived from the electron-hole interaction physics.
- [Section 3.4 and Table 1] The metaGGA+mBSE results in Table 1 depend sensitively on the fitted screening parameters, and they disagree qualitatively with the unscissored G0W0+BSE. For LAK, the CHI fitting gives alpha = 0.236 and a binding energy of 586 meV, while the LOPTICS fitting gives alpha = 0.108 and a binding energy of 299 meV; for r2SCAN the corresponding values are 0.241/592 meV and 0.088/254 meV. This factor-of-two spread shows that the 'binding energy exceeds the gap' conclusion is not robust to the choice of the screening model. The paper does not report the second screening parameter mu, nor does it justify why the CHI-derived parameter set is preferred over the LOPTICS one. Moreover, these mBSE results give a negative exciton energy even without the scissor, which is inconsistent with the unscissored G0W0+BSE dark exciton at +0.14 eV. The authors should either explain this discrepancy in a quantitative way, for example by analyzing the difference in screening and starting point, or refrain from claiming that two independent methods confirm the excitonic insulator.
- [Abstract and Conclusion] The abstract and conclusion state that the lowest exciton's binding energy is '285–586 meV' and that it exceeds 'the calculated band gap (95–169 meV).' The 95 meV lower end of the gap range is not a calculated quasiparticle gap; it is the scissored value imposed to match the experimental STS gap. Including it in the same range as the calculated r2SCAN/LAK gaps (153–169 meV) conflates an experimental input with a first-principles output and makes the two methods appear more consistent than they are. The range of binding energies also mixes the scissored G0W0+BSE value (285 meV) with the mBSE values (586–592 meV) obtained with a different screening parameter. A clearer presentation would list the method, the quasiparticle gap, the exciton energy, and the binding energy separately for each calculation.
minor comments (6)
- [Section numbering] The section numbering jumps from 3.2 to 3.4; there is no Section 3.3. This is presumably a typo but should be fixed.
- [Figure captions] The captions of Figures 7 and 8 refer to 'Figure 8(d)' and 'Figure 8(d)' respectively when identifying the first dark and bright excitons; the exciton spectrum is actually shown in Figure 6(d).
- [Notation] The text uses 'R2SCAN' in several places, for example in Figure 10 and Section 3.2.1, instead of the consistent 'r2SCAN' notation used elsewhere.
- [Reference 21] Reference 21 is listed as 'Wang et al. Prepared.' This is not a complete citation. If it contains the experimental synthesis, STS, and characterization data used in Section 3.1, it must be replaced with a citable reference or the data must be described in the text.
- [Table 1 and screening parameters] Table 1 lists only the alpha screening parameter and not the mu parameter, although the text says that both alpha and mu are fitted to the RPA dielectric function. Reporting mu would be important for reproducibility of the mBSE calculations.
- [Gap notation in conclusion] The conclusion says 'gaps ~20–50 meV' for the semiconducting Ni-edged H-saturated nanoribbons, whereas the abstract and Section 3.2.2 give 29.7–47.8 meV for these ribbons; the ranges should be consistent.
Circularity Check
The G0W0+BSE 'confirmation' of the excitonic insulator is circular: the STS gap is first called an excitonic gap and then scissored into BSE as the quasiparticle gap, algebraically forcing the dark exciton negative.
-
fitted input called prediction
[Section 3.1 and Section 3.4 (G0W0+BSE scissor; Figs. 6(d), 9(a)-9(c))]
"However, this experimental gap likely represents a renormalized excitonic gap rather than the quasiparticle band gap... To align the band gap with the experimental value (90-100 meV), we applied a scissor operation to adjust the G0W0@PBE gap to 95 meV and performed BSE calculations... The first dark exciton, at -0.195 eV , has a binding energy of 285 meV , exceeding the 95 meV gap, confirming that the Ta2Ni3Te5 monolayer is an excitonic insulator."
The BSE Hamiltonian requires the quasiparticle (single-particle) gap as input, but the paper sets it to the measured STS gap after explicitly labeling that STS gap a 'renormalized excitonic gap.' A rigid conduction-band scissor by Delta shifts BSE exciton energies by approximately -Delta while leaving binding energies nearly unchanged. The unscissored G0W0+BSE first dark exciton is +0.14 eV with a 276 meV binding energy against a 417 meV gap; lowering the gap to 95 meV (Delta=322 meV) algebraically gives about -0.18 eV, close to the reported -0.195 eV. The negative exciton and 'binding energy exceeding the gap' are therefore built in by the fitted input gap, not independently predicted, and the same measurement is used both as input and as confirmation.
full rationale
The nanoribbon results (Sec. 3.2) are self-contained DFT calculations and show no circularity. The central excitonic-insulator claim rests on two computational legs. The G0W0+BSE leg is circular: Section 3.1 states that the 90-100 meV STS gap 'likely represents a renormalized excitonic gap rather than the quasiparticle band gap,' and Section 3.4 then uses that same value as the quasiparticle gap via a scissor operation before running BSE. Since a scissor Delta shifts exciton levels almost rigidly, the reported dark exciton at -0.195 eV is essentially the unscissored +0.14 eV exciton shifted by the imposed gap reduction; the negative energy and the 'binding energy exceeding the gap' conclusion are forced by construction. The metaGGA+mBSE leg is not circular in this way: it yields negative first-exciton energies (-0.42 to -0.43 eV) and binding energies of 586-592 meV from metaGGA gaps of 153-169 meV without using the STS gap as input. Those results do depend on a self-cited mBSE method (Ref. [37]) and on screening parameters fitted to RPA response, but the EI character survives across the CHI and LOPTICS parametrizations shown in Table 1. This independent, parameter-dependent support prevents the highest circularity rating, while the scissored 'confirmation' keeps the score elevated. No uniqueness-theorem or ansatz-via-citation pattern is load-bearing.
Assumptions & free parameters
free parameters (2)
- Scissor shift (G0W0 gap adjusted to 95 meV) =
95 meV (shift of -322 meV applied to conduction bands)
- mBSE screening parameters alpha and mu =
alpha = 0.236 (LAK, CHI), 0.241 (r2SCAN, CHI), 0.108 (LAK, LOPTICS), 0.088 (r2SCAN, LOPTICS); mu not reported
assumptions (5)
- domain assumption G0W0@PBE provides an adequate quasiparticle starting point for BSE in Ta2Ni3Te5.
- ad hoc to paper The experimental STS gap (90-100 meV) is the excitonic gap, and it is valid to use this value as the quasiparticle gap in the BSE calculation after scissoring.
- ad hoc to paper The mBSE screening model with parameters alpha and mu fitted to the RPA dielectric function captures the true electron-hole screening.
- domain assumption r2SCAN and LAK metaGGA band gaps are accurate enough to use as quasiparticle gaps for the EI determination.
- domain assumption The H/F-passivated nanoribbon models represent the physically relevant edges of Ta2Ni3Te5.
Cite this review
Pith. "Pith review of Diverse edge states of nanoribbons and excitonic insulator states of the monolayer Ta2Ni3Te5." pith.science (2026). https://pith.science/paper/7SKMDNLL
@misc{pith2026250522955,
author = {Pith},
title = {Pith review of: Diverse edge states of nanoribbons and excitonic insulator states of the monolayer Ta2Ni3Te5},
year = {2026},
howpublished = {\url{https://pith.science/paper/7SKMDNLL}},
note = {Machine review of arXiv:2505.22955}
}
read the original abstract
Ta2Ni3Te5, a layered transition metal chalcogenide with quasi-one-dimensional electronic states, exhibits rich topological and correlated phenomena. Using first-principles calculations, we explore Ta2Ni3Te5 nanoribbons, demonstrating tunable electronic and magnetic properties-ranging from metallic to semimetallic and semiconducting (band gaps of 29.7-60.8 meV), and from ferromagnetic to antiferromagnetic-controlled by edge (Ni or Ta), ribbon width, and H/F saturation. Additionally, GW and Bethe-Salpeter equation (BSE) calculations, complemented by metaGGA-based modified BSE, reveal that the Ta2Ni3Te5 monolayer is an excitonic insulator, with an exciton binding energy exceeding its band gap. These diverse properties position Ta2Ni3Te5 nanoribbons and monolayers as promising candidates for nanoelectronics, spintronics, and optoelectronics, motivating further experimental exploration.
Figures
Figures from the paper (7 more)
Reference graph
Works this paper leans on
-
[1]
Q. H. Wang, K. Kalantar Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, Electronics and optoelectronics of two-dimensional transition metal dichalcogenides, Nat. Nanotechnol. 7, 699 (2012)
work page 2012
-
[2]
X. F. Qian, J. w. Liu, L. Fu, and J. Li, Quantum spin Hall effect in two-dimensional transition metal dichalcogenides, Science 346, 1344 (2014)
work page 2014
-
[3]
Z. Wang, B. J. Wieder, J. Li, B. Yan, and B. A. Bernevig, Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe2 (X =Mo, W), Phys. Rev. Lett. 123, 186401 (2019)
work page 2019
-
[4]
S. Kezilebieke, M. N. Huda, V . Vano, M. Aapro, S. C. Ganguli, O. J. Silveira, S. Glodzik, A. S. Foster, T. Ojanen, and P. Liljeroth, Topological superconductivity in a van der Waals heterostructure, Nature (London) 588, 424 (2020)
work page 2020
-
[5]
Y . L. Huang, W. Chen, A. and T. S. Wee, Two‐dimensional magnetic transition metal chalcogenides, SmartMat. 2021; 2:139–153
work page 2021
- [6]
-
[7]
K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, Atomically Thin MoS2: A New Direct- Gap Semiconductor, Phys. Rev. Lett. 105, 136805 (2010)
work page 2010
-
[8]
D. Y . Qiu, F. H. da Jornada, and S. G. Louie, Optical Spectrum of MoS2: Many-Body Effects and Diversity of Exciton States, PRL 111, 216805 (2013)
work page 2013
Show all 60 references
-
[9]
J. O. Island, R. Biele, M. Barawi, J. M. Clamagirand, J. R. Ares, C. Sánchez, H. S. J. van der Zant, I. J. Ferrer, R. D’Agosta, and A. Castellanos-Gomez, Titanium trisulfide (TiS3): a 2D semiconductor with quasi-1D optical and electronic properties, Scientific Reports 6, 22214 (2016)
2016
-
[10]
Chen, F.-J
Q.-Y . Chen, F.-J. Huang, J.-Q. Ruan, Y .-F. Zhao, F. Li, H. Yang, Y . He, and K. Xiong, Two- dimensional β-noble-transition-metal chalcogenide: novel highly stable semiconductors with manifold outstanding optoelectronic properties and strong in-plane anisotropy, RSC Adv., 202...
2023
-
[11]
A. Wang, Y . Li, G. Yang, D. Yan, Y . Huang, Z. Guo, J. Gao, J. Huang, Q. Zeng, D. Qian, H. Wang, X. Guo, F. Meng, Q. Zhang, L. Gu, X. Zhou, G. Liu, F. Qu, T. Qian, Y . Shi, Z. Wang, L. Lu, and J. Shen, A robust and tunable Luttinger liquid in correlated edge of transition-met...
2023
-
[12]
Harrison, D
K. Harrison, D. A. Jeff, J. M. DeStefano, O. Peek, A. Kushima, J.-H. Chu, H. R. Gutiérrez, and S. I. Khondaker, In-Plane Anisotropy in the Layered Topological Insulator Ta2Ni3Te5 Investigated via TEM and Polarized Raman Spectroscopy, ACS Nano 2024, 18, 4811−4821. 14
2024
-
[13]
H. Yang, Y . Zhou, S. Wang, J. Wang, X. Chen, L. Zhang, C. Xu, and Z. Yang, Pressure- induced nontrivial Z2 band topology and superconductivity in the transition metal chalcogenide Ta2Ni3Te5, Phys. Rev. B107, L020503 (2023)
2023
-
[14]
J. Yao, H. Sheng, R. Zhang, R. Pang, J.-J. Zhou, Q. Wu, H. Weng, X. Dai, Z. Fang, and Z. Wang, Excitonic Instability in Ta2Pd3Te5 Monolayer, arXiv:2401.01222v4
-
[15]
Zhang, Y
P. Zhang, Y . Dong, D. Yan, B. Jiang, T. Yang, J. Li, Z. Guo, Y . Huang, B. Hao, Q. Li, Y . Li, K. Kurokawa, R. Wang, Y . Nie, M. Hashimoto, D. Lu, W.-H. Jiao, J. Shen, T. Qian, Z. Wang, Y . Shi, and T. Kondo, Spontaneous Gap Opening and Potential Excitonic States in an Ideal ...
2024
-
[16]
M. S. Hossain, Z.-J. Cheng, Y .-X. Jiang, T. A. Cochran, S.-B. Zhang, H. Wu, X. Liu, X. Zheng, G. Cheng, B. Kim, Q. Zhang, M. Litskevich, J. Zhang, J. Liu, J.-X. Yin, X. P. Yang, J. D. Denlinger, M. Tallarida, J. Dai, E. Vescovo, A. Rajapitamahuni, H. Miao, N. Yao, A. Keselman...
-
[17]
Q. Song, X. Pan, H. Wang, K. Zhang, Q. Tan, P. Li, Y . Wan, Y . Wang, X. Xu, M. Lin, X. Wan, F. Song, and L. Dai, The in-plane anisotropy of WTe2 investigated by angle- dependent and polarized Raman spectroscopy, Scientific reports, 2016. 6, 29254
2016
-
[18]
Z. Guo, D. Yan, H. Sheng, S. Nie, Y . Shi, and Z. Wang, Quantum spin Hall effect in Ta2𝑀3Te5 (𝑀=Pd,Ni), Phys. Rev. B 103, 115145, 2021
2021
-
[19]
Z. Guo, J. Deng, Y . Xie, and Z. Wang, Quadrupole topological insulators in Ta2M3Te5 (M=Ni, Pd) monolayers, npj Quantum Materials (2022) 7:87
2022
-
[20]
X. Wang, D. Geng, D. Yan, W. Hu, H. Zhang, S. Yue, Z. Sun, S. Kumar, E. F. Schwier, K. Shimada, P. Cheng, L. Chen, S. Nie, Z. Wang, Y . Shi, Y .-Q. Zhang, K. Wu, and B. Feng, Observation of topological edge states in the quantum spin Hall insulator Ta2Pd3Te5, Phys. Rew. B104, ...
2021
-
[21]
Prepared
Wang et al. Prepared
-
[22]
Z. Sun, Z. Guo, D. Yan, P. Cheng, L. Chen, Y . Shi, Y . Huang, Z. Wang, K. Wu, and B. Feng, Layer-dependent Raman spectroscopy of ultrathin Ta2Pd3Te5, Phys. Rev. Materials 7, 094004 (2023)
2023
-
[23]
H. Tan, Y . Zhang, Z. Zhao, C. Wang, R. Zhang, S. Wang, X. Ma, Y . Feng, M. Gu, Y . Lu, J. Jiang, S. Zhang, and B. Xiang, Giant in-plane vibrational and transport anisotropy in van der Waals Ta2Ni3Te5, Sci China Mater 2024, 67(7): 2201–2209
2024
-
[24]
Pan and Y .-W
H. Pan and Y .-W. Zhang, Edge-Dependent Structural, Electronic and Magnetic Properties of MoS2 Nanoribbons, J. Mater. Chem., 2012, 22, 7280–7290
2012
-
[25]
P. Cui, J. Zeng, H. Peng, J.-H. Choi, Z. Li, C. Zeng, C.-K. Shih, J. P. Perdew, and Z. Zhang, Predictive design of intrinsic half-metallicity in zigzag tungsten dichalcogenide nanoribbons, Phys. Rev. B100, 195304 (2019)
2019
-
[26]
G. Z. Magda, X. Jin, I. Hagymasi, P. Vancso, Z. Osvath, P. Nemes-Incze, C. Hwang, L. P. Biro and L. Tapaszto, Room-Temperature Magnetic Order on Zigzag Edges of Narrow Graphene Nanoribbons, Nature, 2014, 514, 608–611. 15
2014
-
[27]
H. Tang, S. Neupane, Q. Yan and A. Ruzsinszky, Density Functional Theory Study of Controllable Optical Absorptions and Magneto-Optical Properties of Magnetic CrI3 Nanoribbons: Implications for Compact 2D Magnetic Devices, ACS Appl. Nano Mater., 2022, 5, 14388–14399
2022
-
[28]
T. Cao, F. Zhao, and S. G. Louie, Topological Phases in Graphene Nanoribbons: Junction States, Spin Centers, and Quantum Spin Chains, Phys. Rev. Lett. 119, 076401 (2017)
2017
-
[29]
F. Zhao, T. Cao, and S. G. Louie, Topological Phases in Graphene Nanoribbons Tuned by Electric Fields, Phys. Rev. Lett. 127, 166401 (2021)
2021
-
[30]
D. J. Rizzo, G. Veber, T. Cao, C. Bronner, T. Chen, F. Zhao, H. Rodriguez, S. G. Louie, M. F. Crommie, and F. R. Fischer, Topological band engineering of graphene nanoribbons, Nature (London) 560, 204 (2018)
2018
-
[31]
Gröning, S
O. Gröning, S. Wang, X. Yao, C. A. Pignedoli, G. B. Barin, C. Daniels, A. Cupo, V . Meunier, X. Feng, A. Narita, K. Müllen, P. Ruffieux, and R. Fasel, Engineering of robust topological quantum phases in graphene nanoribbons, Nature (London) 560, 209 (2018)
2018
-
[32]
Lou, Quasiparticle Energies, Exciton Level Structures and Optical Absorption Spectra of Ultra-Narrow ZSiCNRs, RSC Adv., 2017, 7, 52053–52064
P. Lou, Quasiparticle Energies, Exciton Level Structures and Optical Absorption Spectra of Ultra-Narrow ZSiCNRs, RSC Adv., 2017, 7, 52053–52064
2017
-
[33]
H. Tang, B. Neupane, S. Neupane, S. Ruan, N. K. Nepal and A. Ruzsinszky, Tunable band gaps and optical absorption properties of bent MoS2 nanoribbons, Sci. Rep., 2022, 12, 3008
2022
-
[34]
Neupane, H
B. Neupane, H. Tang, N. K. Nepal and A. Ruzsinszky, Bending as a Control Knob for the Electronic and Optical Properties of Phosphorene Nanoribbons, Phys. Rev. Mater., 2022, 6, 014010
2022
-
[35]
Deslippe, G
J. Deslippe, G. Samsonidze, D. A. Strubbe, M. Jain, M. L. Cohen and S. G. Louie, BerkeleyGW: A Massively Parallel Computer Package for the Calculation of the Quasiparticle and Optical Properties of Materials and Nanostructures, Comput. Phys. Commun. 183, 1269 (2012)
2012
-
[36]
Rohlfing and S
M. Rohlfing and S. G. Louie, Electron-Hole Excitations and Optical Spectra from First Principles, Phys. Rev. B, 62, 4927 (2000)
2000
-
[37]
H. Tang, L. Yin, G. I. Csonka, and A. Ruzsinszky, Exploring the exciton insulator state in 1T-TiSe2 monolayer with advanced electronic structure methods, Phys. Rev. B 111, L201401 (2025)
2025
-
[38]
A. Tal, P. Liu, G. Kresse, and A. Pasquarello, Accurate optical spectra through time- dependent density functional theory based on screening-dependent hybrid functionals, Phys. Rev. Research 2, 032019(R) (2020)
2020
-
[39]
Kresse and J
G. Kresse and J. Furthmüller, Efficient Iterative Schemes for Ab Initio Total-Energy Calculations Using a Plane-Wave Basis Set, Phys. Rev. B 54, 11169 (1996)
1996
-
[40]
Kresse and D
G. Kresse and D. Joubert, From Ultrasoft Pseudopotentials to the Projector Augmented- Wave Method, Phys. Rev. B 59, 1758 (1999). 16
1999
-
[41]
J. W. Furness, A. D. Kaplan, J. Ning, J. P. Perdew, and J. Sun, Accurate and Numerically Efficient r2SCAN Meta-Generalized Gradient Approximation, J. Phys. Chem. Lett. 2020, 11, 8208−8215
2020
-
[42]
J. Sun, A. Ruzsinszky, and J.ௗP. Perdew, Strongly Constrained and Appropriately Normed Semilocal Density Functional, Phys. Rev. Lett. 115, 036402 (2015)
2015
-
[43]
P.; Yates, J
Bartok, A. P.; Yates, J. R. Regularized SCAN functional. J. Chem. Phys. 2019, 150, 161101
2019
-
[44]
Giannozzi, O
P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. Buongiorno Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A. Dal Corso, S. de Gironcoli, P. Delugas, R. A. DiStasio Jr, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, R. Geb...
2017
-
[45]
J. P. Perdew, K. Burke, M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996)
1996
-
[46]
Deslippe, G
J. Deslippe, G. Samsonidze, M. Jain, M. L. Cohen, and S. G. Louie, Coulomb-hole summations and energies for 𝐺𝑊 calculations with limited number of empty orbitals: A modified static remainder approach, Phys. Rev. B 87, 165124 (2013)
2013
-
[47]
Lebeda, T
T. Lebeda, T. Aschebrock, and S. Kümmel, Balancing the Contributions to the Gradient Expansion: Accurate Binding and Band Gaps with a Nonempirical Meta-GGA, Phys. Rev. Lett. 133, 136402 (2024)
2024
-
[48]
Supplemental information
-
[49]
X.-X.Zhang,T.Cao,Z.Lu,Y .-C.Lin,F.Zhang,Y .Wang,Z.Li, J. C. Hone, J. A. Robinson, D. Smirnov, S. G. Louie and T. F. Heinz, Magnetic Brightening and Control of Dark Excitons in Monolayer WSe2, Nat. Nanotechnol., 2017, 12, 883–888
2017
-
[50]
J. A. Reyes-Retana and F. Cervantes-Sodi, Spin–Orbital Effects in Metal Dichalcogenide Semiconducting Monolayers, Sci. Rep., 2016, 6, 24093
2016
-
[51]
A. C. Dias, R. M. Tromer, H. R. Gutiérrez, D. S. Galvao, and E. A. Moujaes, Raman Spectra and Excitonic Effects of the Novel Ta2Ni3Te5 Monolayer, ACS Omega 2024, 9, 48835- 48843
2024
-
[52]
S. L. Adler, Quantum Theory of the Dielectric Constant in Real Solids, Phys. Rev. 126, 413, 1962
1962
-
[53]
Gajdoš, K
M. Gajdoš, K. Hummer, G. Kresse, J. Furthmüller, and F. Bechstedt, Linear optical properties in the projector-augmented wave methodology, Phys. Rev. B 73, 045112 (2006)
2006
-
[54]
C., Trauzettel, B
Budich, J. C., Trauzettel, B. & Michetti, P. Time reversal symmetric topological exciton condensate in bilayer HgTe quantum wells. Phys. Rev. Lett. 112, 146405 (2014)
2014
-
[55]
Pikulin, D. I. & Hyart, T. Interplay of exciton condensation and the quantum spin Hall effect in InAsÚGaSb bilayers. Phys. Rev. Lett. 112, 176403 (2014)
2014
-
[56]
Du, L. et al. Evidence for a topological excitonic insulator in InAs/GaSb bilayers. Nature Commun. 8, 1971 (2017)
2017
-
[57]
& MacDonald, A
Xue, F. & MacDonald, A. H. Time-reversal symmetry-breaking nematic insulators near quantum spin Hall phase transitions. Phys. Rev. Lett. 120, 186802 (2018). 17
2018
-
[58]
W.-Y ., Tong, Q
Zhu, Q., Tu, M. W.-Y ., Tong, Q. & Yao, W. Gate tuning from exciton superfluid to quantum anomalous Hall in van der Waals heterobilayer. Sci. Adv. 5, eaau6120 (2019)
2019
-
[59]
Jiang, J
B. Jiang, J. Yao, D. Yan, Z. Guo, G. Qu, X. Deng, Y . Huang, H. Ding, Y . Shi, Z. Wang, and T. Qian, Surface doping manipulation of the insulating ground states in Ta2Pd3Te5 and Ta2Ni3Te5, Chin. Phys. B 33, 067402 (2024)
2024
-
[60]
Varsano, M
D. Varsano, M. Palummo, E. Molinari, and M. Rontani, A monolayer transition-metal dichalcogenide as a topological excitonic insulator, Nature Nanotechnology 15, 367–372 (2020). 18 Table 1. Calculated results from the LAK and r2SCAN functional related methods for monolayer Ta2N...
2020
Reviewed August 7, 2026 · model on record in the stance chip above.
Discussion (0). Sign in to comment.