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REVIEW 4 major objections 5 minor 67 references

Electrically Tunable Interband Collective Excitations in Biased Bilayer and Trilayer Graphene

T0 review · 4 major / 5 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read This paper predicts that biased bilayer and trilayer graphene support graphene-exciton-polaritons—electrically tunable far-infrared surface polaritons whose confinement can exceed that of graphene plasmons.

desk verdict Solid model calculation, but the 'universal law' is a standard dispersion in disguise and the after-nonlocal confinement numbers rest on an unverified q-extension. read the letter →

arxiv 2412.03139 v3 pith:7PCHSTYK submitted 2024-12-04 cond-mat.mes-hall physics.optics

Tomer Eini , M. F. C. Martins Quintela , J. C. G. Henriques , R. M. Ribeiro , Yarden Mazor , N. M. R. Peres , Itai Epstein This is my paper · ORCID
classification cond-mat.mes-hallphysics.optics
keywords graphene-exciton-polaritonsbiasedbilayergraphenerhombohedraltrilayerinterbandexcitonssurfacepolaritonsnonlocalcorrectionsfar-infraredopticselectricallytunable
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 predicts a new class of surface polaritons—hybrid light–matter waves that travel along an interface—supported by biased bilayer and trilayer graphene, and names them graphene-exciton-polaritons (GEPs). Unlike graphene plasmons, which come from intraband motion of free carriers, these modes come from interband excitons: bound electron–hole pairs whose collective response makes the imaginary part of the optical conductivity positive. The paper shows that GEPs follow a universal dispersion law for surface polaritons in 2D excitonic systems, and that their frequency, confinement, and loss can be tuned electrically by the bias voltage across the graphene layers. If the prediction holds, these systems would provide electrically controllable far-infrared modes with confinement up to three orders of magnitude, and—after nonlocal corrections—still more confined than graphene plasmons, with losses moderate enough for cryo-SNOM detection.

What carries the argument

The central object is the excitonic optical conductivity $\sigma = 4i\sigma_0 \sum_n f_n/(E - E_n + i\Gamma_n/2)$, a multi-Lorentzian model taken from density-matrix calculations of biased bilayer and trilayer graphene. The positive imaginary part of $\sigma$ near the main resonance, where the contribution of other resonances is negligible, is what permits a surface polariton; inserting this conductivity into the standard 2D surface-polariton dispersion relation $q = 2i\varepsilon_0\varepsilon_{\mathrm{hBN}}^{\mathrm{eff}}\omega/\sigma$ gives the GEP dispersion. The nonlocal extension replaces the exciton energy $E_m$ with $E_m + \hbar^2 q^2/(2m_X)$, with $m_X$ given analytically for BBLG and numerically for BRTG, and leads to the quadratic equation whose physical root is the nonlocal dispersion. This machinery converts known excitonic parameters into a concrete, electrically tunable polaritonic dispersion.

What would settle it

A cryo-SNOM measurement on hBN-encapsulated biased bilayer graphene at T = 4 K and a bias near 52 meV should show interference fringes whose spacing follows $q_{\mathrm{GEP}}=2i\varepsilon_0\varepsilon_{\mathrm{hBN}}^{\mathrm{eff}}\omega/\sigma$; if no such propagating modes appear, or if the imaginary part of the extracted optical conductivity is not positive at the main exciton resonance, the central claim is wrong.

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Extended reading notes

Core claim

The central claim is that biased bilayer graphene (BBLG) and biased rhombohedral trilayer graphene (BRTG), when encapsulated in hBN under a perpendicular electric field, support surface polaritons whose positive imaginary conductivity is provided by the interband excitonic response rather than by free-carrier intraband response. The local dispersion is $q_{\mathrm{GEP}}=2i\varepsilon_0\varepsilon_{\mathrm{hBN}}^{\mathrm{eff}}\omega/\sigma$ with $\sigma$ the multi-Lorentzian excitonic conductivity, and near the main resonance this yields confinement factors of two to three orders of magnitude. In the lossless single-resonance limit the dispersion reduces to $\omega=\omega_m/2+\sqrt{(2\sigma_0 f_m/\varepsilon_0\varepsilon_{\mathrm{hBN}}^{\mathrm{eff}}\hbar)\,q+(\omega_m/2)^2}$, which the paper proposes as a universal law for surface polaritons in 2D excitonic systems. Including nonlocal corrections via the exciton kinetic term $\hbar^2 q^2/(2m_X)$ lowers the confinement by up to an order of magnitude but leaves the GEPs more confined than graphene plasmons and improves the inverse damping ratio by a factor of four, making observation in cryo-SNOM experiments plausible.

Load-bearing premise

The prediction stands on the assumption that the optical conductivity of biased bilayer and trilayer graphene is accurately described by the multi-Lorentzian excitonic model with the parameters imported from the cited calculations, and that no other contribution—free-carrier Drude response, phonons, disorder, or the electron-hole continuum—changes the sign or size of the imaginary conductivity in the frequency windows used.

Editorial extensions

If this is right

  • Biased bilayer and trilayer graphene become electrically tunable far-infrared polaritonic platforms: the bias voltage changes the exciton energy, oscillator strength, and decay rate, so the GEP frequency and confinement can be set in situ.
  • The universal dispersion law derived for GEPs should apply to any 2D excitonic system that supports surface polaritons, giving a common design rule beyond the specific graphene systems considered here.
  • After nonlocal corrections, GEPs remain more confined than graphene plasmons while their inverse damping ratio improves by a factor of four, so the paper's predicted modes should be observable with cryo-SNOM.
  • The analytic dispersion relations, both local and nonlocal, match full transfer-matrix simulations, so the closed-form expressions can be used directly to design GEP-based devices.

Reading between the lines

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

  • A testable extension: applying the same positive-imaginary-conductivity criterion to other biased few-layer graphene stackings, such as ABC-stacked trilayer or twisted bilayer graphene, could reveal GEPs at different frequencies and with different electrical tunability.
  • The nonlocal crossover at which $\hbar^2 q^2/(2m_X)\sim E_m$ sets an upper bound on GEP confinement; measuring the dispersion at large momentum would provide a direct probe of the exciton effective mass $m_X$.
  • Since the BRTG linewidth is held constant for lack of phonon-exciton parameters, the temperature-dependent loss predictions for trilayer graphene are less certain than for bilayer; a full phonon-scattering calculation would sharpen them and might shift the optimal operating temperature.
  • Because the lossless GEP dispersion has a square-root form, coupling GEPs to a cavity photon could produce an anticrossing similar to exciton-polariton physics, even though the uncoupled mode is a surface polariton.
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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

4 major / 5 minor

Summary. The paper predicts a new class of surface polaritons, termed graphene-exciton-polaritons (GEPs), in biased bilayer and trilayer graphene (BBLG and BRTG). The starting point is an excitonic optical conductivity of the form sigma = 4i sigma0 sum_n f_n/(E - E_n + i Gamma_n/2), with parameters imported from prior calculations. Because Im sigma is positive near the main exciton resonance, the authors identify surface-polariton modes with hBN and derive an analytic dispersion (Eq. 2). Near the main resonance, a single-Lorentzian approximation yields approximate confinement, damping, and a square-root dispersion (Eqs. 5-7), which the paper presents as a universal law for 2D excitonic systems. A nonlocal correction, implemented as a momentum-dependent exciton energy, leads to Eq. 11 and to the claim that after nonlocal corrections the modes are less confined but still more confined than graphene plasmons, with propagation lengths accessible to cryo-SNOM.

Significance. If the prediction is correct, GEPs would provide a new electrically tunable platform for far-infrared polaritonic phenomena, and the single-resonance dispersion would be a useful organizing result for excitonic surface polaritons. The algebraic chain from Eq. 1 to Eqs. 4-7 is internally consistent, and the analytic dispersion matches the TMM simulations carried out with the same conductivity model; this agreement, however, validates the electrodynamics but not the underlying exciton model. The manuscript also gives explicit limitations (e.g., constant BRTG linewidth, local-model validity), which is commendable. The main open risk is that the quantitative confinement comparison with graphene plasmons rests on an unvalidated finite-momentum extension of the zero-momentum exciton conductivity and on the omission of the electron-hole continuum.

major comments (4)
  1. [§IV, Eq. (8)] The nonlocal extension is introduced by replacing E_m with E_m + ℏ²q²/(2m_X), while f_m and Γ_m remain q-independent, and the text states that this holds for ℏ²q²/(2m_X) ≪ E_m. The manuscript never verifies that the solutions of Eq. (11) satisfy this condition, nor does it report q/q_c (q_c = sqrt(2m_X E_m)/ℏ) for the branches shown in Figs. 3(b)-(e). Since the confinement factors quoted there imply large q, the claim that GEPs remain more confined than graphene plasmons after nonlocal corrections is not yet established. Please report the validity parameter along each dispersion branch and, where it is not small, compute the momentum dependence of f_m and Γ_m or state the resulting uncertainty.
  2. [Eq. (1) and §III] The conductivity model contains only discrete Lorentzian exciton resonances; the interband electron-hole continuum is not included. Positive Im σ, which is the condition for GEP existence, can be modified by continuum absorption when the mode energy is at or above the band gap. The paper does not state where the GEP branches sit relative to the gap or quantify the continuum contribution. Please add this check or provide a bound showing that continuum contributions are negligible in the frequency windows of Figs. 2 and 3.
  3. [§II / SI C] For BRTG, the linewidth is taken constant because phonon-exciton parameters are unavailable, as admitted in SI section C. This ad hoc assumption feeds directly into the inverse damping ratio and the 'moderate losses' claim for BRTG. Please include a sensitivity analysis over the plausible range of Γ_m(T), or otherwise show that the main conclusions are robust to this choice.
  4. [§III, Eq. (7)] Equation (7) is derived from the single-resonance Lorentzian approximation and is therefore a consequence of the assumed conductivity lineshape, not a relation established independently of the exciton model. The phrase 'universal dispersion law for all surface polaritons in 2D excitonic systems' overstates this status. I recommend either deriving the law from a more general microscopic starting point or explicitly defining the class of systems (Lorentzian response, negligible nonlocality, single dominant resonance) for which it holds.
minor comments (5)
  1. [Throughout] There are several typographical errors, including 'hybridizatoin', 'denisty', 'affect', and 'Bern el'; a careful proofread is needed.
  2. [Eq. (2) text] The sentence defining the effective permittivity repeats εhBNxx twice and should read εhBNxx, εhBNzz, and εhBNef f.
  3. [§III, Fig. 2] The notation 'n = m' for the dominant resonance is not defined in the main text; please clarify the Rydberg-series indexing.
  4. [Figs. 2 and 3] The captions and text quote confinement factors in orders of magnitude, but no mode wavevectors or excitation energies are listed; reporting representative q and E values would improve reproducibility and make the validity check in the major comments possible.
  5. [Eq. (9)] The BBLG exciton mass is given analytically, while BRTG is said to be computed numerically; a plot of m_X(V) for both systems, with a table of the used band parameters, would help readers reproduce the nonlocal results.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the polariton dispersion and the purported universal law are derived explicitly from the assumed excitonic Lorentzian conductivity, not fitted to or equivalent to the target result; self-citations are present but not load-bearing.

full rationale

The derivation chain is transparent and self-contained once the excitonic conductivity model is granted. Eq. (1) is imported from published calculations (Refs. [39,40]) with overlapping authorship, but it is an external input to this paper, not a quantity fitted to the GEP dispersion or to the confinement claims; the paper's new results are conditional on it. The 'universal dispersion law', Eq. (7), is obtained by inserting the single-resonance approximation Eq. (3) into the standard surface-polariton dispersion Eq. (2). That is an explicit algebraic derivation: for a Lorentzian conductivity sigma = 4 i sigma0 f_m / (E - E_m), the dispersion q = 2 i eps0 eps_hbn omega / sigma rearranges to omega = omega_m/2 + sqrt(omega_m^2/4 + 2 sigma0 f_m q/(eps0 eps_hbn hbar)). This is a model consequence, not a hidden input; the word 'discover' is optimistic but not circular. The nonlocal correction Eq. (8) is introduced as an assumption with a stated validity condition (hbar^2 q^2/(2 m_X) << E_m), and the paper does not verify that the solved q satisfies this condition; this is a correctness/robustness risk, not circularity. The TMM 'agreement' checks internal consistency because the simulation uses the same conductivity. No fitted parameter is renamed as a prediction, no uniqueness theorem from the authors' prior work is invoked, and no external result is replaced by a self-citation chain. The main scientifically contestable steps -- the multi-Lorentzian form of Eq. (1), the neglect of continuum/Drude/phonon contributions, and the finite-q extrapolation -- are assumptions imported or stated, not circular reductions.

Assumptions & free parameters 5 free parameters · 5 assumptions · 1 invented entities

All quantitative results are derived from the Lorentzian conductivity model imported from prior work [39,40], combined with standard electromagnetic boundary conditions. No new experimental data, code, or externally validated parameters are supplied. The paper contributes the material-specific application and the derived polariton properties rather than a self-contained derivation of the excitonic response.

free parameters (5)
  • Exciton energy E_m = about 90 meV at the optimal bias for both systems
    Taken from prior calculations [39,40]; sets the resonance frequency and the voltage range of the predicted GEPs.
  • Oscillator strength f_m = not quoted in main text; from [39,40]
    Controls the confinement magnitude through Eq. 5; imported from prior work.
  • Non-radiative decay rate Gamma_m = BBLG temperature-dependent; BRTG constant, from [40]
    Sets linewidth and inverse damping ratio. The BRTG value is an assumption because phonon-exciton scattering parameters are unavailable.
  • Demonstration bias voltage V = 52 meV for BBLG, 55 meV for BRTG
    Chosen as the optimal voltage that maximizes confinement after scanning; a demonstration choice, not a predicted value.
  • Temperature T = 4 K
    Selected as a practical low-temperature operating point; lower temperatures would narrow the linewidth further.
assumptions (5)
  • domain assumption Optical conductivity has the multi-Lorentzian excitonic form of Eq. 1
    Assumed from the density-matrix derivation in cited works [39,40]; all subsequent dispersion results inherit this lineshape.
  • standard math Surface polariton dispersion is q = 2 i eps0 eps_eff omega / sigma, Eq. 2
    Standard 2D conductivity boundary condition at a dielectric interface; uncontroversial within the model.
  • domain assumption The main resonance m dominates and all other resonances are negligible, Eq. 3
    Used to derive Eqs. 4-7; only valid near E_m where |E - E_n| >> Gamma_n for n != m, yet the universal law is presented without that caveat.
  • domain assumption Nonlocal correction shifts E_m to E_m + hbar^2 q^2 / (2 m_X), Eq. 8
    Center-of-mass kinetic energy model for excitons; formally valid for small q, but applied to high-momentum confinement calculations.
  • ad hoc to paper BRTG linewidth is temperature-independent
    The paper states the exact temperature dependence could not be calculated because phonon-exciton parameters are missing, so the linewidth is held constant following [40].
invented entities (1)
  • Graphene-exciton-polaritons (GEPs)
    purpose: Label for surface polaritons arising from the interband excitonic conductivity of biased bilayer and trilayer graphene
    The underlying excitons and polaritons are established concepts; the paper coins a new acronym for this material combination. There is no independent falsifiable handle beyond the predicted dispersion curves and no experimental observation.

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Cite this review

Pith. "Pith review of Electrically Tunable Interband Collective Excitations in Biased Bilayer and Trilayer Graphene." pith.science (2026). https://pith.science/paper/7PCHSTYK

@misc{pith2026241203139,
  author       = {Pith},
  title        = {Pith review of: Electrically Tunable Interband Collective Excitations in Biased Bilayer and Trilayer Graphene},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/7PCHSTYK}},
  note         = {Machine review of arXiv:2412.03139}
}
read the original abstract

Collective excitations of charged particles under the influence of an electromagnetic field give rise to a rich variety of hybrid light-matter quasiparticles with unique properties. In metals, intraband collective response manifested by negative permittivity leads to plasmon-polaritons with extreme field confinement, wavelength squeezing, and potentially low propagation losses. In contrast, photons in semiconductors commonly couple to interband collective response in the form of exciton polaritons, which give rise to completely different polaritonic properties, described by a superposition of the photon and exciton and an anti-crossing of the eigenstates. In this work, we identify the existence of plasmon-like collective excitations originating from the interband excitonic response of biased bilayer and trilayer graphene, in the form of graphene-exciton-polaritons (GEPs). We find that GEPs possess electrically tunable polaritonic properties and discover that such excitations follow a universal dispersion law for all surface polaritons in 2D excitonic systems. Accounting for nonlocal corrections to the excitonic response, we find that the GEPs exhibit confinement factors that can exceed those of graphene plasmons, and with moderate losses. These predictions of plasmon-like interband collective excitations in biased graphene systems open up new research avenues for tunable polaritonic phenomena based on excitonic systems, and the ability to control and manipulate such phenomena at the atomic scale.

Figures

Figures reproduced from arXiv: 2412.03139 by the authors.

Figure 1
Figure 1. FIG. 1. Optical conductivity of (a) BBLG for [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Polaritonic properties of GEP. Confinement factor of [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Nonlocal corrections. (a) Voltage dependence of the [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

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Reference graph

Works this paper leans on

67 extracted references · 60 canonical work pages

  1. [1]

    D. N. Basov, A. Asenjo-Garcia, P. J. Schuck, X. Zhu, and A. Rubio, Polariton panorama, Nanophotonics 10, 549 (2020)

    work page 2020

  2. [2]

    11) for BBLG and BRTG, respectively

    and nonlocal analytic solution (Eq. 11) for BBLG and BRTG, respectively. It can be seen that the nonlocal dispersion relation yields GEP modes that are less confined by up to an order of magnitude compared to the local model, but that are still larger than the max- imal limit of graphene plasmons [30, 59–62]. In addition, the inverse damping ratio, γ − 1 p...

    work page 2020

  3. [3]

    D. N. Basov, M. M. Fogler, and F. J. Garc ´ ıa De Abajo, Polaritons in van der Waals materials, Science 354, 10.1126/SCIENCE.AAG1992 (2016)

    doi:10.1126/science.aag1992 2016

  4. [4]

    T. Low, A. Chaves, J. D. Caldwell, A. Ku- mar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, Polaritons in layered two-dimensional materials, Nature Materials 2016 16:2 16, 182 (2016)

    work page 2016

  5. [5]

    Jablan, H

    M. Jablan, H. Buljan, and M. Soljaˇ ci´ c, Plas- monics in graphene at infrared frequencies, Physical Review B - Condensed Matter and Materials Physics 80, 245435 (2009)

    work page 2009

  6. [6]

    F. H. Koppens, D. E. Chang, and F. J. Garc ´ ıa De Abajo, Graphene plasmonics: A platform for strong light-matter interactions, Nano Letters 11, 3370 (2011)

    work page 2011

  7. [7]

    S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watan- abe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, Tunable phonon polari- tons in atomically thin van der Waals crystals of boron nitride, Science 343, 1125 (2014)

    work page 2014

  8. [8]

    J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, Low- loss, infrared and terahertz nanophotonics using surface phonon polaritons, Nanophotonics 4, 44 (2015)

    work page 2015

Show all 67 references
  1. [9]

    J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Gi- annini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, Sub-diffractional volume-confined polaritons in the natural hyperbol...

    2014

  2. [10]

    Schneider, M

    C. Schneider, M. M. Glazov, T. Korn, S. H¨ ofling, and B. Urbaszek, Two-dimensional semiconduc- tors in the regime of strong light-matter coupling, Nature Communications 2018 9:1 9, 1 (2018)

    2018

  3. [11]

    S. A. Maier, Plasmonics: Fundamentals and applications, Plasmonics: Fundamentals and Applications , 1 (2007)

    2007

  4. [12]

    W. L. Barnes, A. Dereux, and T. W. Ebbe- sen, Surface plasmon subwavelength optics, Nature 2003 424:6950 424, 824 (2003)

    2003

  5. [13]

    T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Extraordinary opti- cal transmission through sub-wavelength hole arrays, Nature 1998 391:6668 391, 667 (1998)

    1998

  6. [14]

    Epstein, Y

    I. Epstein, Y. Tsur, and A. Arie, Surface-plasmon wave- front and spectral shaping by near-field holography, Laser & Photonics Reviews 10, 360 (2016)

    2016

  7. [15]

    V. M. Agranovich, Surface Polaritons (Elsevier Science,

  8. [16]

    Lagois and B

    J. Lagois and B. Fischer, Experimental Ob- servation of Surface Exciton Polaritons, Physical Review Letters 36, 680 (1976)

    1976

  9. [17]

    Lagois and B

    J. Lagois and B. Fischer, Dispersion theory of surface- exciton polaritons, Physical Review B 17, 3814 (1978)

    1978

  10. [18]

    S. A. Elrafei, T. V. Raziman, S. De Vega, F. J. Garc ´ ıa De Abajo, and A. G. Curto, Guiding light with sur- face exciton-polaritons in atomically thin superlattices , Nanophotonics 13, 3101 (2024)

    2024

  11. [19]

    Tokura and T

    Y. Tokura and T. Koda, Sur- face Exciton Polariton in ZnO, https://doi.org/10.1143/JPSJ.51.2934 51, 2934 (1982)

    1982 doi

  12. [20]

    J. Chen, M. Badioli, P. Alonso-Gonz´ alez, S. Thongrat- tanasiri, F. Huth, J. Osmond, M. Spasenovi´ c, A. Cen- teno, A. Pesquera, P. Godignon, A. Zurutuza Elorza, N. Camara, F. J. Garc ´ ıa, R. Hillenbrand, and F. H. Koppens, Optical nano-imaging of gate-tunable graphene plasm...

    2012

  13. [21]

    Z. Fei, A. S. Rodin, G. O. Andreev, W. Bao, A. S. McLeod, M. Wagner, L. M. Zhang, Z. Zhao, M. Thiemens, G. Dominguez, M. M. Fogler, A. H. Cas- tro Neto, C. N. Lau, F. Keilmann, and D. N. Basov, Gate-tuning of graphene plasmons revealed by infrared nano-imaging, Nature 2012 487...

    2012

  14. [22]

    N. C. Hesp, I. Torre, D. Rodan-Legrain, P. Nov- elli, Y. Cao, S. Carr, S. Fang, P. Stepanov, D. Barcons-Ruiz, H. Herzig Sheinfux, K. Watanabe, T. Taniguchi, D. K. Efetov, E. Kaxiras, P. Jarillo- Herrero, M. Polini, and F. H. Koppens, Observation of in- terband collective excit...

    2021

  15. [23]

    Hillenbrand, T

    R. Hillenbrand, T. Taubner, and F. Keilmann, Phonon- enhanced light matter interaction at the nanometre scale, Nature 418, 159 (2002)

    2002

  16. [24]

    J. D. Caldwell, O. J. Glembocki, Y. Francescato, N. Sharac, V. Giannini, F. J. Bezares, J. P. Long, J. C. Owrutsky, I. Vurgaftman, J. G. Tischler, V. D. Wheeler, N. D. Bassim, L. M. Shirey, R. Kasica, and S. A. Maier, Low-loss, extreme subdiffraction photon confinement via silic...

    2013

  17. [25]

    Weisbuch, M

    C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity, Physical Review Letters 69, 3314 (1992)

    1992

  18. [26]

    Kavokin, Exciton-polaritons in microcav- ities: Recent discoveries and perspectives, physica status solidi (b) 247, 1898 (2010)

    A. Kavokin, Exciton-polaritons in microcav- ities: Recent discoveries and perspectives, physica status solidi (b) 247, 1898 (2010)

    2010

  19. [27]

    H. Deng, H. Haug, and Y. Yamamoto, Exciton-polariton Bose-Einstein condensation, Reviews of Modern Physics 82, 1489 (2010)

    2010

  20. [28]

    Timofeev and D

    V. Timofeev and D. Sanvitto, Exciton polaritons in microcavities : new frontiers (Springer, 2012) p. 401

    2012

  21. [29]

    Yamamoto and A

    Y. Yamamoto and A. Imamoglu, Mesoscopic Quantum Optics (John Wiley, 1999) p. 320

    1999

  22. [30]

    X. Liu, T. Galfsky, Z. Sun, F. Xia, E.-c. Lin, Y.- H. Lee, S. K´ ena-Cohen, and V. M. Menon, Strong light-matter coupling in two-dimensional atomic crystals , Nature Photonics 9, 30 (2014)

    2014

  23. [31]

    Alonso-Gonz´ alez, A

    P. Alonso-Gonz´ alez, A. Y. Nikitin, Y. Gao, A. Woessner, M. B. Lundeberg, A. Principi, N. Forcellini, W. Yan, S. V´ elez, A. J. Huber, K. Watanabe, T. Taniguchi, F. Casanova, L. E. Hueso, M. Polini, J. Hone, F. H. L. Koppens, and R. Hillenbrand, Acoustic terahertz graphene pl...

    2016

  24. [32]

    Alonso-Gonz´ alez, A

    P. Alonso-Gonz´ alez, A. Y. Nikitin, F. Golmar, A. Cen- teno, A. Pesquera, S. V´ elez, J. Chen, G. Navickaite, F. Koppens, A. Zurutuza, F. Casanova, L. E. Hueso, and R. Hillenbrand, Controlling graphene plasmons with res- onant metal antennas and spatial conductivity patterns,...

    2014

  25. [33]

    L. Ju, B. Geng, J. Horng, C. Girit, M. Mar- tin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, Graphene plas- monics for tunable terahertz metamaterials, Nature Nanotechnology 2011 6:10 6, 630 (2011)

    2011

  26. [34]

    G. X. Ni, A. S. McLeod, Z. Sun, L. Wang, L. Xiong, K. W. Post, S. S. Sunku, B. Y. Jiang, J. Hone, C. R. Dean, M. M. Fogler, and D. N. Basov, Fundamental limits to graphene plasmonics, Nature 2018 557:7706 557, 530 (2018)

    2018

  27. [35]

    Z. Sun, J. Gu, A. Ghazaryan, Z. Shotan, C. R. Considine, M. Dollar, B. Chakraborty, X. Liu, P. Ghaemi, S. K´ ena-Cohen, and V. M. Menon, Op- tical control of room-temperature valley polaritons, Nature Photonics 2017 11:8 11, 491 (2017)

    2017

  28. [36]

    Epstein, B

    I. Epstein, B. Terr´ es, A. J. Chaves, V. V. Pusapati, D. A. Rhodes, B. Frank, V. Zimmermann, Y. Qin, K. Watan- abe, T. Taniguchi, H. Giessen, S. Tongay, J. C. Hone, N. M. Peres, and F. H. Koppens, Near-unity light ab- sorption in a monolayer ws2 van der waals heterostruc- tur...

    2020

  29. [37]

    Horng, E

    J. Horng, E. W. Martin, Y. H. Chou, E. Cour- tade, T. C. Chang, C. Y. Hsu, M. H. Wentzel, H. G. Ruth, T. C. Lu, S. T. Cundiff, F. Wang, and H. Deng, Perfect absorption by an atomically thin crys- tal, Physical Review Applied 14, 024009 (2020)

    2020

  30. [38]

    H. H. Fang, B. Han, C. Robert, M. A. Semina, D. Lagarde, E. Courtade, T. Taniguchi, K. Watan- abe, T. Amand, B. Urbaszek, M. M. Glazov, and X. Marie, Control of the Exciton Radia- tive Lifetime in van der Waals Heterostructures, Physical Review Letters 123, 067401 (2019)

    2019

  31. [39]

    Horng, Y.-H

    J. Horng, Y.-H. Chou, Y.-H. Chou, T.-C. Chang, C.- Y. Hsu, T.-C. Lu, H. Deng, and H. Deng, Engineer- ing radiative coupling of excitons in 2D semiconductors, Optica, Vol. 6, Issue 11, pp. 1443-1448 6, 1443 (2019)

    2019

  32. [40]

    J. C. Henriques, I. Epstein, and N. M. Peres, Absorption and optical selection rules of tun- able excitons in biased bilayer graphene, Physical Review B 105, 045411 (2022)

    2022

  33. [41]

    M. F. Quintela and N. M. Peres, Tunable excitons in rhombohedral trilayer graphene, Physical Review B 105, 205417 (2022)

    2022

  34. [42]

    L. Ju, L. Wang, T. Cao, T. Taniguchi, K. Watanabe, S. G. Louie, F. Rana, J. Park, J. Hone, F. Wang, and P. L. McEuen, Tunable excitons in bilayer graphene, Science 358, 907 (2017)

    2017

  35. [43]

    C. H. Park and S. G. Louie, Tunable excitons in biased bilayer graphene, Nano Letters 10, 426 (2010)

    2010

  36. [44]

    L. Ju, L. Wang, X. Li, S. Moon, M. Ozerov, Z. Lu, T. Taniguchi, K. Watanabe, E. Mueller, F. Zhang, D. Smirnov, F. Rana, and P. L. McEuen, Unconventional valley-dependent optical selection rules and landau level mixing in bilayer graphene, Nature Communications 2020 11:1 11, 1 (2020)

    2020

  37. [45]

    V. G. Duarte, D. R. Da Costa, N. M. Peres, L. K. Teles, and A. J. Chaves, Moir´ e excitons in biased twisted bilayer graphene under pressure, Physical Review B 110, 035405 (2024)

    2024

  38. [46]

    E. V. Castro, K. S. Novoselov, S. V. Morozov, N. M. Peres, J. M. Dos Santos, J. Nilsson, F. Guinea, A. K. Geim, and A. H. Neto, Biased bilayer graphene: Semi- conductor with a gap tunable by the electric field effect, Physical Review Letters 99, 216802 (2007)

    2007

  39. [47]

    Zhang, T

    Y. Zhang, T. T. Tang, C. Girit, Z. Hao, M. C. Martin, A. Zettl, M. F. Crommie, Y. R. Shen, and F. Wang, Direct observation of a widely tunable bandgap in bilayer graphene., Nature 459, 820 (2009)

    2009

  40. [48]

    J. B. Oostinga, H. B. Heersche, X. Liu, A. F. Morpurgo, and L. M. Vandersypen, Gate-induced insulating state in bilayer graphene devices, Nature Materials 2007 7:2 7, 151 (2007)

    2007

  41. [49]

    G. Wang, A. Chernikov, M. M. Glazov, T. F. Heinz, X. Marie, T. Amand, and B. Urbaszek, Colloquium: Excitons in atomically thin transition metal dichalco- genides, Reviews of Modern Physics 90, 021001 (2018)

    2018

  42. [50]

    T. G. Pedersen, Intraband effects in excitonic second-harmonic generation, Physical Review B - Condensed Matter and Materials Physics 92, 235432

  43. [51]

    Aversa and J

    C. Aversa and J. E. Sipe, Nonlinear optical susceptibili- ties of semiconductors: Results with a length-gauge anal- ysis, Physical Review B 52, 14636 (1995)

    1995

  44. [52]

    E-Periodica - On the Definition of the Renormalization C onstants in

  45. [53]

    Lehmann, ¨Uber Eigenschaften von Ausbreitungs- funktionen und Renormierungskonstanten quantisierter Felder, Il Nuovo Cimento 11, 342 (1954)

    H. Lehmann, ¨Uber Eigenschaften von Ausbreitungs- funktionen und Renormierungskonstanten quantisierter Felder, Il Nuovo Cimento 11, 342 (1954)

    1954

  46. [54]

    M. F. C. M. Quintela, N. M. R. Peres, and T. G. Pedersen, Tunable nonlinear excitonic optical response in biased bilayer graphene, Physical Review B 110, 085433 (2024)

    2024

  47. [55]

    Epstein, A

    I. Epstein, A. J. Chaves, D. A. Rhodes, B. Frank, K. Watanabe, T. Taniguchi, H. Giessen, J. C. Hone, N. M. R. Peres, and F. H. L. Koppens, Highly confined in- plane propagating exciton-polaritons on monolayer semi- conductors, 2D Materials 7, 035031 (2020)

    2020

  48. [56]

    T. Eini, T. Asherov, Y. Mazor, and I. Epstein, Valley- polarized hyperbolic exciton polaritons in few-layer two-dimensional semiconductors at visible frequencies, Physical Review B 106, L201405 (2022)

    2022

  49. [57]

    P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gauss- mann, and T. Taubner, Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing, Nature Communications 2015 6:1 6, 1 (2015)

    2015

  50. [58]

    I. Kats, T. Eini, and I. Epstein, 2D Semicon- ductors Superlattices as Hyperbolic Materials, arXiv:2411.14785 (2024)

    2024 arXiv

  51. [59]

    Woessner, M

    A. Woessner, M. B. Lundeberg, Y. Gao, A. Prin- cipi, P. Alonso-Gonz´ alez, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hil- lenbrand, and F. H. L. Koppens, Highly confined low- loss plasmons in graphene–boron nitride heterostruc- tures, Nature Mate...

    2014

  52. [60]

    M. B. Lundeberg, Y. Gao, R. Asgari, C. Tan, B. V. Duppen, M. Autore, P. Alonso-Gonz´ alez, A. Woessner, K. Watanabe, T. Taniguchi, R. Hillenbrand, J. Hone, M. Polini, and F. H. Koppens, Tuning quantum nonlocal effects in graphene plasmonics, Science 357, 187 (2017)

    2017

  53. [61]

    D. A. Iranzo, S. Nanot, E. J. Dias, I. Epstein, C. Peng, D. K. Efetov, M. B. Lundeberg, R. Parret, J. Osmond, J. Y. Hong, J. Kong, D. R. Englund, N. M. Peres, 8 and F. H. Koppens, Probing the ultimate plasmon con- finement limits with a van der Waals heterostructure, Science 36...

    2018

  54. [62]

    Epstein, D

    I. Epstein, D. Alcaraz, Z. Huang, V. V. Pusapati, J. P. Hugonin, A. Kumar, X. M. Deputy, T. Khodkov, T. G. Rappoport, J. Y. Hong, N. M. Peres, J. Kong, D. R. Smith, and F. H. Koppens, Far-field excitation of single graphene plasmon cavities with ultracompressed mode volumes, Sc...

    2020

  55. [63]

    S. G. Menabde, I. H. Lee, S. Lee, H. Ha, J. T. Heiden, D. Yoo, T. T. Kim, T. Low, Y. H. Lee, S. H. Oh, and M. S. Jang, Real-space imaging of acoustic plasmons in large-area graphene grown by chemical vapor deposition, Nature Communications 2021 12:1 12, 1 (2021)

    2021

  56. [64]

    Stern, Polarizability of a Two-Dimensional Electron Gas, Physical Review Letters 18, 546 (1967)

    F. Stern, Polarizability of a Two-Dimensional Electron Gas, Physical Review Letters 18, 546 (1967)

    1967

  57. [65]

    G. S. Agarwal, D. N. Pattanayak, and E. Wolf, Electromagnetic fields in spatially dispersive media, Physical Review B 10, 1447 (1974)

    1974

  58. [66]

    J. J. Hopfield and D. G. Thomas, Theoretical and Ex- perimental Effects of Spatial Dispersion on the Optical Properties of Crystals, Physical Review 132, 563 (1963)

    1963

  59. [67]

    Gershuni and I

    Y. Gershuni and I. Epstein, In-plane exciton po- laritons versus plasmon polaritons: Nonlocal correc- tions, confinement, and loss, Physical Review B 109, 10.1103/PHYSREVB.109.L121408 (2024)

    2024 doi

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