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Spectrum of plasma excitations in a plasmonic crystal fabricated in an AlGaAs/GaAs heterostructure

A. R. Khisameeva1, A. Shuvaev1, A. A. Zabolotnykh2, A. S. Astrakhantseva3, D. A. Khudaiberdiev1, A. Pimenov1, I. V. Kukushkin3, and V. M. Muravev3,*

  • *Contact author: muravev@issp.ac.ru
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Phys. Rev. Research 7, 033224 – Published 5 September, 2025

DOI: https://doi.org/10.1103/3gnt-w1zj

Abstract

We report on the experimental study of the spectrum of plasma excitations in a plasmonic crystal fabricated from the two-dimensional electron system in an AlGaAs/GaAs semiconductor heterostructure. We perform a comprehensive research on the mode frequency and relaxation as a function of the gate width across different plasmonic crystal periods. Importantly, we develop an analytical approach that accurately describes the behavior of plasma excitations in plasmonic crystals, providing insights into the fundamental physics of plasmonic systems.

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References (35)

  1. 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).
  2. T. N. Theis, J. P. Kotthaus, and P. J. Stiles, Two-dimensional magnetoplasmon in the silicon inversion layer, Solid State Commun. 24, 273 (1977).
  3. 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).
  4. U. Mackens, D. Heitmann, L. Prager, J. P. Kotthaus, and W. Beinvogl, Minigaps in the plasmon dispersion of a two-dimensional electron gas with spatially modulated charge density, Phys. Rev. Lett. 53, 1485 (1984).
  5. D. Heitmann, Two-dimensional plasmons in homogeneous and laterally microstructured space charge layers, Surf. Sci. 170, 332 (1986).
  6. 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).
  7. G. Ni, A. McLeod, Z. Sun, L. Wang, L. Xiong, K. Post, S. Sunku, B.-Y. Jiang, J. Hone, C. R. Dean et al., Fundamental limits to graphene plasmonics, Nature (London) 557, 530 (2018).
  8. G. C. Dyer, G. R. Aizin, S. Preu, N. Q. Vinh, S. J. Allen, J. L. Reno, and E. A. Shaner, Inducing an incipient terahertz finite plasmonic crystal in coupled two dimensional plasmonic cavities, Phys. Rev. Lett. 109, 126803 (2012).
  9. G. C. Dyer, G. R. Aizin, S. J. Allen, A. D. Grine, D. Bethke, J. L. Reno, and E. A. Shaner, Induced transparency by coupling of Tamm and defect states in tunable terahertz plasmonic crystals, Nat. Photon. 7, 925 (2013).
  10. A. V. Muravjov, D. B. Veksler, V. V. Popov, O. V. Polischuk, N. Pala, X. Hu, R. Gaska, H. Saxena, R. E. Peale, and M. S. Shur, Temperature dependence of plasmonic terahertz absorption in grating-gate gallium-nitride transistor structures, Appl. Phys. Lett. 96, 042105 (2010).
  11. P. Sai, V. V. Korotyeyev, M. Dub, M. Słowikowski, M. Filipiak, D. B. But, Y. Ivonyak, M. Sakowicz, Y. M. Lyaschuk, S. M. Kukhtaruk, G. Cywiński, and W. Knap, Electrical tuning of terahertz plasmonic crystal phases, Phys. Rev. X 13, 041003 (2023).
  12. M. Dub, P. Sai, Y. Ivonyak, D. But, J. Kacperski, P. Prystawko, R. Kucharski, M. Słowikowski, G. Cywiński, W. Knap, and S. Rumyantsev, Control of the unscreened modes in AlGaN/GaN terahertz plasmonic crystals, J. Appl. Phys. 135, 193103 (2024).
  13. X. G. Peralta, S. J. Allen, M. C. Wanke, N. E. Harff, J. A. Simmons, M. P. Lilly, J. L. Reno, P. J. Burke, and J. P. Eisenstein, Terahertz photoconductivity and plasmon modes in double-quantum-well field-effect transistors, Appl. Phys. Lett. 81, 1627 (2002).
  14. W. Knap, M. Dyakonov, D. Coquillat, F. Teppe, N. Dyakonova, J. Łusakowski, K. Karpierz, M. Sakowicz, G. Valusis, D. Seliuta, A. El Fatimy, Y. M. Meziani, and T. Otsuji, Field effect transistors for terahertz detection: Physics and first imaging applications, J. Infrared, Millimeter, Terahertz Waves 30, 1319 (2009).
  15. M. Białek, M. Czapkiewicz, J. Wróbel, V. Umansky, and J. Łusakowski, Plasmon dispersions in high electron mobility terahertz detectors, Appl. Phys. Lett. 104, 263514 (2014).
  16. D. C. Tsui, E. Gornik, and R. A. Logan, Far infrared emission from plasma oscillations of Si inversion layers, Solid State Commun. 35, 875 (1980).
  17. S. A. Mikhailov, Plasma instability and amplification of electromagnetic waves in low-dimensional electron systems, Phys. Rev. B 58, 1517 (1998).
  18. S. Boubanga-Tombet, W. Knap, D. Yadav, A. Satou, D. B. But, V. V. Popov, I. V. Gorbenko, V. Kachorovskii, and T. Otsuji, Room-temperature amplification of terahertz radiation by grating-gate graphene structures, Phys. Rev. X 10, 031004 (2020).
  19. V. M. Muravev, A. Shuvaev, A. S. Astrakhantseva, P. A. Gusikhin, I. V. Kukushkin, and A. Pimenov, Tunable terahertz phase shifter based on GaAs semiconductor technology, Appl. Phys. Lett. 121, 051101 (2022).
  20. K. R. Dzhikirba, A. Shuvaev, D. Khudaiberdiev, I. V. Kukushkin, and V. M. Muravev, Demonstration of the plasmonic THz phase shifter at room temperature, Appl. Phys. Lett. 123, 052104 (2023).
  21. G. R. Aizin and G. C. Dyer, Transmission line theory of collective plasma excitations in periodic two-dimensional electron systems: Finite plasmonic crystals and Tamm states, Phys. Rev. B 86, 235316 (2012).
  22. V. V. Popov, D. V. Fateev, E. L. Ivchenko, and S. D. Ganichev, Noncentrosymmetric plasmon modes and giant terahertz photocurrent in a two-dimensional plasmonic crystal, Phys. Rev. B 91, 235436 (2015).
  23. V. Y. Kachorovskii and M. S. Shur, Current-induced terahertz oscillations in plasmonic crystal, Appl. Phys. Lett. 100, 232108 (2012).
  24. A. Bylinkin, E. Titova, V. Mikheev, E. Zhukova, S. Zhukov, M. Belyanchikov, M. Kashchenko, A. Miakonkikh, and D. Svintsov, Tight-binding terahertz plasmons in chemical-vapor-deposited graphene, Phys. Rev. Appl. 11, 054017 (2019).
  25. I. Gorbenko and V. Kachorovskii, Lateral plasmonic crystals: Tunability, dark modes, and weak-to-strong coupling transition, Phys. Rev. B 110, 155406 (2024).
  26. F. Stern, Polarizability of a two-dimensional electron gas, Phys. Rev. Lett. 18, 546 (1967).
  27. 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)].
  28. See Supplemental Material at http://link.aps.org/supplemental/10.1103/3gnt-w1zj for additional information about the samples, the experimental data, and the theoretical model.
  29. F. 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).
  30. U. Ekenberg, Nonparabolicity effects in a quantum well: Sublevel shift, parallel mass, and Landau levels, Phys. Rev. B 40, 7714 (1989).
  31. 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).
  32. I. V. Andreev, V. M. Muravev, V. N. Belyanin, S. I. Gubarev, and I. V. Kukushkin, Coherent and incoherent contributions to the damping of cyclotron magnetoplasma resonance for two-dimensional electrons, JETP Lett. 102, 821 (2015).
  33. V. M. Muravev, I. V. Andreev, S. I. Gubarev, V. N. Belyanin, and I. V. Kukushkin, Fine structure of cyclotron resonance in a two-dimensional electron system, Phys. Rev. B 93, 041110 (2016).
  34. S. A. Mikhailov, Radiative decay of collective excitations in an array of quantum dots, Phys. Rev. B 54, 10335 (1996).
  35. S. A. Mikhailov, Microwave-induced magnetotransport phenomena in two-dimensional electron systems: Importance of electrodynamic effects, Phys. Rev. B 70, 165311 (2004).

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Phys. Rev. Research 7, 033224– Published 5 September, 2025
  • Received 13 April 2025
  • Accepted 21 August 2025
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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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