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Superlattice plasmon mode in a grating of two-dimensional electron strips

V. M. Muravev1, K. R. Dzhikirba1, A. A. Zabolotnykh2, P. A. Gusikhin1, A. Shuvaev3, M. S. Ryzhkov3, D. A. Khudaiberdiev3, A. S. Astrakhantseva1, I. V. Kukushkin1 et al.

A. Pimenov3

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Phys. Rev. Research 8, 013066 – Published 22 January, 2026

DOI: https://doi.org/10.1103/vp8j-ws4g

Abstract

We investigate GaAs/AlGaAs heterostructure membranes with a metasurface made up of a grating of two-dimensional electron system strips. Experiments have revealed a strong plasma resonance in the transmission of the metasurface. We have found that a collective effect from the superlattice, along with lateral screening between the strips, leads to the emergence of a plasmon mode in the metasurface under study. Furthermore, we develop an analytical approach that accurately describes the behavior of the discovered superlattice plasmon mode, providing insights into the fundamental physics of plasmonic metasurface systems.

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References (49)

  1. D. C. Tsui, S. J. Allen Jr., R. A. Logan, A. Kamgar, and S. N. Coppersmith, High frequency conductivity in silicon inversion layers: Drude relaxation, 2D plasmons and minigaps in a surface superlattice, Surf. Sci. 73, 419 (1978).
  2. T. N. Theis, Plasmons in inversion layers, Surf. Sci. 98, 515 (1980).
  3. D. Heitmann, Two-dimensional plasmons in homogeneous and laterally microstructured space charge layers, Surf. Sci. 170, 332 (1986).
  4. F. H. L. Koppens, D. E. Chang, and F. J. García de Abajo, Graphene plasmonics: A platform for strong light–matter interactions, Nano Lett. 11, 3370 (2011).
  5. D. N. Basov, M. M. Fogler, and F. J. García De Abajo, Polaritons in van der Waals materials, Science 354, aag1992 (2016).
  6. J. Łusakowski, Plasmon–terahertz photon interaction in high-electron-mobility heterostructures, Semicond. Sci. Technol. 32, 013004 (2017).
  7. V. M. Muravev and I. V. Kukushkin, Collective plasma excitations in two-dimensional electron systems, Phys.-Usp. 63, 975 (2020).
  8. M. Dyakonov and M. Shur, Shallow water analogy for a ballistic field effect transistor: New mechanism of plasma wave generation by dc current, Phys. Rev. Lett. 71, 2465 (1993).
  9. W. Knap, Y. Deng, S. Rumyantsev, J.-Q. Lü, M. S. Shur, C. A. Saylor, and L. C. Brunel, Resonant detection of subterahertz radiation by plasma waves in a submicron field-effect transistor, Appl. Phys. Lett. 80, 3433 (2002).
  10. E. A. Shaner, M. Lee, M. C. Wanke, A. D. Grine, J. L. Reno, and S. J. Allen, Single-quantum-well grating-gated terahertz plasmon detectors, Appl. Phys. Lett. 87, 193507 (2005).
  11. G. R. Aizin, V. V. Popov, and O. V. Polischuk, Plasmon enhanced electron drag and terahertz photoconductance in a grating-gated field-effect transistor with two-dimensional electron channel, Appl. Phys. Lett. 89, 143512 (2006).
  12. V. M. Muravev and I. V. Kukushkin, Plasmonic detector/spectrometer of subterahertz radiation based on two-dimensional electron system with embedded defect, Appl. Phys. Lett. 100, 082102 (2012).
  13. S. J. Allen Jr., D. C. Tsui, and R. A. Logan, Observation of the two-dimensional plasmon in silicon inversion layers, Phys. Rev. Lett. 38, 980 (1977).
  14. T. N. Theis, J. P. Kotthaus, and P. J. Stiles, Two-dimensional magnetoplasmon in the silicon inversion layer, Solid State Commun. 24, 273 (1977).
  15. D. Heitmann, J. P. Kotthaus, and E. G. Mohr, Plasmon dispersion and intersubband resonance at high wavevectors in Si(100) inversion layers, Solid State Commun. 44, 715 (1982).
  16. S. J. Allen, H. L. Störmer, and J. C. M. Hwang, Dimensional resonance of the two-dimensional electron gas in selectively doped GaAs/AlGaAs heterostructures, Phys. Rev. B 28, 4875 (1983).
  17. R. P. Leavitt and J. W. Little, Absorption and emission of radiation by plasmons in two-dimensional electron-gas disks, Phys. Rev. B 34, 2450 (1986).
  18. T. Demel, D. Heitmann, P. Grambow, and K. Ploog, Nonlocal dynamic response and level crossings in quantum-dot structures, Phys. Rev. Lett. 64, 788 (1990).
  19. C. Dahl, J. P. Kotthaus, H. Nickel, and W. Schlapp, Coulomb coupling in arrays of electron disks, Phys. Rev. B 46, 15590(R) (1992).
  20. H. Yan, Z. Li, X. Li, W. Zhu, P. Avouris, and F. Xia, Infrared spectroscopy of tunable Dirac terahertz magneto-plasmons in graphene, Nano Lett. 12, 3766 (2012).
  21. S. D. Sarma and W. Lai, Screening and elementary excitations in narrow-channel semiconductor microstructures, Phys. Rev. B 32, 1401(R) (1985).
  22. T. Demel, D. Heitmann, P. Grambow, and K. Ploog, One-dimensional plasmons in AlGaAs/GaAs quantum wires, Phys. Rev. Lett. 66, 2657 (1991).
  23. A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer, and K. W. West, One-dimensional plasmon dispersion and dispersionless intersubband excitations in GaAs quantum wires, Phys. Rev. Lett. 67, 3298 (1991).
  24. V. V. Popov, T. Y. Bagaeva, T. Otsuji, and V. Ryzhii, Oblique terahertz plasmons in graphene nanoribbon arrays, Phys. Rev. B 81, 073404 (2010).
  25. L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, Graphene plasmonics for tunable terahertz metamaterials, Nat. Nanotechnol. 6, 630 (2011).
  26. A. Shuvaev, K. R. Dzhikirba, A. S. Astrakhantseva, P. A. Gusikhin, I. V. Kukushkin, and V. M. Muravev, Plasmonic metasurface created by a grating of two-dimensional electron strips on a substrate, Phys. Rev. B 106, L161411 (2022).
  27. W. Hansen, J. Kotthaus, and U. Merkt, Electrons in laterally periodic nanostructures, in Semiconductors and Semimetals, edited by M. A. Reed (Academic Press, San Diego, 1992), Vol. 35, pp. 279–380.
  28. F. Stern, Polarizability of a two-dimensional electron gas, Phys. Rev. Lett. 18, 546 (1967).
  29. A. V. Chaplik, Possible crystallization of charge carriers in low-density inversion layers, Zh. Eksp. Teor. Fiz. 62, 746 (1972) [Sov. Phys. JETP 35, 395 (1972)].
  30. G. Eliasson, J.-W. Wu, P. Hawrylak, and J. J. Quinn, Magnetoplasma modes of a spatially periodic two-dimensional electron gas, Solid State Commun. 60, 41 (1986).
  31. S. Rudin and M. Dyakonov, Edge and strip plasmons in a two-dimensional electron fluid, Phys. Rev. B 55, 4684 (1997).
  32. A. Y. Nikitin, T. Low, and L. Martin-Moreno, Anomalous reflection phase of graphene plasmons and its influence on resonators, Phys. Rev. B 90, 041407(R) (2014).
  33. K. A. Velizhanin, Geometric universality of plasmon modes in graphene nanoribbon arrays, Phys. Rev. B 91, 125429 (2015).
  34. B.-Y. Jiang, E. J. Mele, and M. M. Fogler, Theory of plasmon reflection by a 1D junction, Opt. Express 26, 17209 (2018).
  35. Z. Li, K. Yao, F. Xia, S. Shen, J. Tian, and Y. Liu, Graphene plasmonic metasurfaces to steer infrared light, Sci. Rep. 5, 12423 (2015).
  36. Y. Li, M. R. Krisshnamurthi, W. Luo, A. K. Swan, X. Ling, and R. Paiella, Graphene metasurfaces for terahertz wavefront shaping and light emission [invited], Opt. Mater. Express 12, 4528 (2022).
  37. Francisco A. P. Osório, M. H. Degani, and O. Hipólito, Cyclotron mass of electrons in GaAs-Ga1−xAlxAs quantum wells, Phys. Rev. B 38, 8477 (1988).
  38. U. Ekenberg, Nonparabolicity effects in a quantum well: Sublevel shift, parallel mass, and Landau levels, Phys. Rev. B 40, 7714 (1989).
  39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/vp8j-ws4g for additional information about the samples and the theoretical model.
  40. A. S. Astrakhantseva, A. Shuvaev, P. Gusikhin, A. Pimenov, I. V. Kukushkin, and V. M. Muravev, Terahertz plasma edge engineering in semiconductor membranes with a two-dimensional electron layer, Appl. Phys. Lett. 120, 031104 (2022).
  41. G. Kozlov and A. Volkov, Millimeter and Submillimeter Spectroscopy of Solids, Topics in Applied Physics, edited by G. Gruner (Springer-Verlag, Berlin, 1998), Vol. 74.
  42. M. Dressel and G. Grüner, Electrodynamics of Solids: Optical Properties of Electrons in Matter (Cambridge University Press, Cambridge, 2002).
  43. V. M. Muravev, A. V. Shchepetilnikov, K. R. Dzhikirba, I. V. Kukushkin, R. Schott, E. Cheah, W. Wegscheider, and A. Shuvaev, Interferometric method for direct measurement of the effective mass in two-dimensional systems, Phys. Rev. Appl. 19, 024039 (2023).
  44. S. A. Mikhailov, Plasma instability and amplification of electromagnetic waves in low-dimensional electron systems, Phys. Rev. B 58, 1517 (1998).
  45. S. A. Mikhailov and N. A. Savostianova, Microwave response of a two-dimensional electron stripe, Phys. Rev. B 71, 035320 (2005).
  46. A. R. Khisameeva, A. Shuvaev, A. A. Zabolotnykh, A. S. Astrakhantseva, D. A. Khudaiberdiev, A. Pimenov, I. V. Kukushkin, and V. M. Muravev, Spectrum of plasma excitations in a plasmonic crystal fabricated in an AlGaAs/GaAs heterostructure, Phys. Rev. Res. 7, 033224 (2025).
  47. A. Khavasi and B. Rejaei, Analytical modeling of graphene ribbons as optical circuit elements, IEEE J. Quantum Electron. 50, 397 (2014).
  48. A. Yu. Nikitin, F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, Surface plasmon enhanced absorption and suppressed transmission in periodic arrays of graphene ribbons, Phys. Rev. B 85, 081405 (2012).
  49. J. H. Strait, P. Nene, W.-M. Chan, C. Manolatou, S. Tiwari, F. Rana, J. W. Kevek, and P. L. McEuen, Confined plasmons in graphene microstructures: Experiments and theory, Phys. Rev. B 87, 241410 (2013).

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Phys. Rev. Research 8, 013066– Published 22 January, 2026
  • Received 20 August 2025
  • Accepted 5 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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