We derive the electrodynamic conductivity tensor for 2DESs with dc drift with account for the high-frequency Hall effect (interaction of dc current with ac magnetic field). We demonstrate the limitations of the quasistatic approach which neglects this effect. With the help of electrodynamic conductivity we find a novel two-dimensional transverse electric (TE) electromagnetic mode. This mode is non-reciprocal with dispersion ω = ku0 and manifests itself in lowering the reflection coefficient of 2DES at the resonance frequency. In addition, we predict birefringence of an incident evanescent TE wave on a 2DES system with drift and find hints of Cerenkov amplification in the low frequency limit. We discuss the limitng cases when the quasistatic approach is suitable.
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REFERENCES
O. V. Konstantinov and V. I. Perel, ZhETF 38, 161 (1960).
B. W. Maxfield, Am. J. Phys. 37(3), 241 (1969).
R. Bowers, C. Legendy, and F. Rose, Phys. Rev. Lett. 7(9), 339 (1961).
R. A. Helliwell and M. G. Morgan, Proceedings of the IRE 47(2), 200 (1959).
A. I. Morozov and P. Shubin, Sov. Phys. JETP 19, 484 (1964).
V. N. Kopylov, JETP Lett. 29(1), 23 (1979).
L. E. Gurevich and B. L. Gelmont, ZhETF 46, 884 (1964).
V. N. Kopylov, JETP Lett. 28(3), 121 (1978).
V. I. Falko and D. E. Khmelnitskii, ZhETF 95, 847 (1989).
S. A. Mikhailov and K. Ziegler, Phys. Rev. Lett. 99(1), 016803 (2007).
S. G. Menabde, D. R. Mason, E. E. Kornev, C. Lee, and N. Park, Sci. Rep. 6(1), 21523 (2016).
I. M. Moiseenko, V. V. Popov, and D. V. Fateev, J. Phys. Condens. Matter 34(29), 295301 (2022).
I. M. Moiseenko, V. V. Popov, and D. V. Fateev, J. Phys. Condens. Matter 35(25), 255301 (2023).
P. S. Alekseev and A. P. Alekseeva, Phys. Rev. Lett. 123(23), 236801 (2019).
D. A. Bandurin, E. Mönah, K. Kapralov, I. Y. Phinney, K. Lindner, S. Liu, J. H. Edgar, I. A. Dmitriev, P. Jarillo-Herrero, D. Svintsov, and S. D. Ganichev, Nat. Phys. 18(4), 462 (2022).
K. Kapralov and D. Svintsov, Phys. Rev. B 106(11), 115415 (2022).
A. B. Mikhailovskii, Electromagnetic instabilities in an inhomogeneous plasma, IOP Publishing Bristol, Philadelphia and N.Y. (1992).
J. Pozhela, Plasma and Current Instabilities in Semiconductors: International Series on the Science of the Solid State, Pergamon Press, Oxford, N.Y., Toronto, Sydney, Paris, Frankfurt (1981), v. 18.
M. Dyakonov and M. Shur, IEEE Trans. Electron Devices 43(3), 380 (1996).
V. Yu. Kachorovskii and M. S. Shur, Solid-State Electronics 52(2), 182 (2008).
M. I. Dyakonov, Semiconductors 42, 984 (2008).
O. Sydoruk, R. R. A. Syms, and L. Solymar, Appl. Phys. Lett. 97(26), 263504 (2010).
A. S. Petrov and D. Svintsov, Phys. Rev. B 99(19), 195437 (2019).
A. S. Petrov and D. Svintsov, Phys. Rev. Appl. 17(5), 054026 (2022).
S. A. Mikhailov, Phys. Rev. 58(3), 1517 (1998).
I. Kukushkin, J. Smet, S. A. Mikhailov, D. Kulakovskii, K. von Klitzing, and W. Wegscheider, Phys. Rev. Lett. 102(8), 081301 (2020).
V. Muravev, P. Gusikhin, A. Zarezin, A. Zabolotnykh, V. Volkov, and I. Kukushkin, Phys. Rev. 102(8), 081301 (2020).
I. V. Zagorodnev, A. A. Zabolotnykh, D. A. Rodionov, and V. A. Volkov, Nanomaterials 13(6), 975 (2023).
I. S. Sokolov, D. V. Averyanov, O. E. Parfenov, A. N. Taldenkov, I. A. Karateev, A. M. Tokmachev, and V. G. Storchak, J. Alloys Compd. 884, 161078 (2021).
I. S. Sokolov, D.V. Averyanov, O. E. Parfenov, A. N. Taldenkov, M. G. Rybin, A. M. Tokmachev, and V. G. Storchak, Small 19, 2301295 (2023).
I. S. Sokolov, D. V. Averyanov, O. E. Parfenov, A. N. Taldenkov, A. M. Tokmachev, and V. G. Storchak, Carbon 218, 118769 (2024).
A. D. Boardman, Electromagnetic surface modes, John Wiley & Sons Chichester, N. Y., Brisbane, Toronto, Singapore (1982).
L. Zheng and S. D. Sarma, Phys. Rev. B 53, 9964 (1996).
V. M. Muravev and I. V. Kukushkin, Phys.-Uspekhi 63(10), 975 (2020).
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Petrov, A.S., Svintsov, D. High-frequency Hall Effect and Transverse Electric Galvanomagnetic Waves in Current-biased 2D Electron Systems. Jetp Lett. (2024). https://doi.org/10.1134/S0021364024600563
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DOI: https://doi.org/10.1134/S0021364024600563