On the Theory of Two-Photon Intersubband Absorption and Linear-Circular Dichroism in Semiconductors of the A3B5 Type
Abstract
The frequency-temperature dependences of the probability of two-photon absorption (2PA), caused by transitions from the branch of light holes to the subband of spin-orbit splitting and linear-circular dichroism (LCD) associated with 2PA, as well as the coefficient of two-photon light absorption in GaAs and InAs, where the contribution to the absorption of the effect of coherent saturation. The role of various types of transitions, differing from each other in virtual states and participating in the 2PT, is analyzed. In GaAs and InAs, the presence of several peaks in the frequency-temperature dependences of the 2PA coefficient was revealed; the appearance of the peaks is explained not only by a specific change in the distribution functions of photoexcited holes, but also by the fact that at certain frequency values, some denominators in the expressions of the composite matrix elements tend to zero.
Downloads
References
G.I. Stegeman, and R. A. Stegeman, Nonlinear Optics: Phenomena, Materials and Devices, (John Wiley & Sons, Inc., Hoboken, NJ, 2012).
E.L. Ivchenko, Sov. Phys. Semicond. 6, 17 (1973). (in Russian)
V. Nathan, A.H. Guenther, and S.S. Mitra, J. Opt. Soc. Am. B, 2(2), 294 (1985). https://doi.org/10.1364/JOSAB.2.000294
S.D. Ganichev, E.L. Ivchenko, R.Ya. Rasulov, I.D. Yaroshetskii, and B.Ya. Averbukh, Phys. Solid State, 35(1), 104 (1993).
I.B. Zotova, and Y.J. Ding, Appl. Opt. 40, 6654 (2001). https://doi.org/10.1364/AO.40.006654
P.D. Olszak, C.M. Cirloganu, S. Webster, L.A. Padilha, S. Guha, L.P. Gonzalez, S. Krishnamurthy, et al., Phys. Rev. B, 82, 235207 (2010). https://doi.org/10.1103/PhysRevB.82.235207
S.B. Arifzhanov, A.M. Danishevskii, E.L. Ivchenko, S.F. Kochegarov, and V.K. Subashiev. Sov. Phys. JETP, 47(1), 88 (1978). http://www.jetp.ras.ru/cgi-bin/dn/e_047_01_0088.pdf
R.Y. Rasulov, V.R. Rasulov, M.K. Nasirov, M.A. Mamatova, and I.A. Muminov, East European Journal of Physics, (3), 316 (2024). https://doi.org/10.26565/2312-4334-2024-3-34
V.R. Rasulov, R.Ya. Rasulov, N.U. Kodirov, and U.M. Isomaddinova, Physics of the Solid State, 65(7), 92 (2023). http://dx.doi.org/10.61011/PSS.2023.07.56410.77
R.Ya. Rasulov, V.R. Rasulov, M.A. Mamatova, M.Kh. Nasirov, and U.M. Isomaddinova, East European Journal of Physics, (3), 310–315 (2024). https://doi.org/10.26565/2312-4334-2024-3-33
V.R. Rasulov, R.Ya. Rasulov, and I. Eshboltaev, Russ. Phys. J. 63(11), 2025 (2015). https://doi.org/10.1007/s11182-021-02265-x
V.R. Rasulov, R.Ya. Rasulov, I.M. Eshboltaev, and M.X. Qo’chqorov, Semiconductors, 56(10), 948 (2022). http://dx.doi.org/10.21883/SC.2022.10.55023.9798
D. Yu, Y.Y. Hu, G. Zhang, W. Li, and Y. Jiang, Scientific Reports, 12(110), 1 (2022). https://doi.org/10.1038/s41598-021-04203-w
H.S. Pattanaik, M. Reichert, J.B. Khurgin, and D.J. Hagan, IEEE Journal of Quantum Electronics, 52(3), 90000114 (2016). https://doi.org/10.1109/JQE.2016.2526611
E.L. Ivchenko, and G.E. Pikus, Superlattices and other heterostructures. Symmetry and optical phenomena, (Springer, Berlin, (1995).
E.L. Ivchenko, Optical spectroscopy of semiconductor nanostructures, Alpha Science, (Harrow, UK, 2005).
M.M. Glazov, E.L. Ivchenko, G. Wang, T. Amand, X. Marie, B. Urbaszek, and B.L. Liu, Physica Status Solidi (b), 252(11), 2349 (2015). https://doi.org/10.1002/pssb.201552211
G. Wang, A. Chernikov, M.M. Glazov, and T.F. Heinz, arXiv:1707.05863v2 (2017). https://doi.org/10.48550/arXiv.1707.05863
S. Shree, I. Paradisanos, X. Marie, C. Robert, and B. Urbaszek, Nature Reviews Physics, 3(1), 39 (2021). https://doi.org/10.1038/s42254-020-00259-1
R.Ya. Rasulov, V.R. Rasulov, N.U. Kodirov, M.Kh. Nasirov, I.M. Eshboltaev, East European Journal of Physics, (3), 303 (2024). https://doi.org/10.26565/2312-4334-2024-3-32
M. Lafrentz, D. Brunne, B. Kaminski, V.V. Pavlov, A.V. Rodina, R.V. Pisarev, D.R. Yakovlev, et al., Phys. Rev. Lett. 110, 116402 (2013). https://doi.org/10.1103/PhysRevLett.110.116402
M.V. Durnev, and M.M. Glazov, Physics-Uspekhi, 188(9), 913 (2018). https://doi.org/10.3367/UFNe.2017.07.038172
L.E. Golub, E.L. Ivchenko, and R.Ya. Rasulov, Physics and Technics of Semiconducters, 29(6), 1093 (1995). (in Russian)
R.Ya. Rasulov, V.R. Rasulov, K.K. Urinova, M.A. Mamatova, and B.B. Akhmedov, East Eur. J. Phys. (1), 393 (2024). https://doi.org/10.26565/2312-4334-2024-1-40
U. Isomaddinova, PhD Thesis, Namangan, Republik of Uzbekistan, (2024). (in Russian)
V.R. Rasulov, R.Y. Rasulov, R.R. Sultonov, and B.B. Akhmedov, “Two- and Three-Photon Linear-Circular Dichroism in Cubic-Symmetry Semiconductors,” Semiconductors, 54(11), 1381–1387 (2020). https://doi.org/10.1134/S1063782620110226
V.R. Rasulov, R.Ya. Rasulov, I.M. Eshboltaev, and M.K. Nasirov, Russian Physics Journal, 58(12), 1681–1686 (2015). https://doi.org/10.1007/s11182-016-0702-2
N.V. Leppenen, E.L. Ivchenko, and L.E. Golub, Phys. Rev. B, 105, 115306 (2022). https://doi.org/10.1103/PhysRevB.105.115306
D.A. Parshin, and A.R. Shabaev, ZhETF, 92(4), 471 (1987). (in Russian)
Copyright (c) 2025 Rustam Y. Rasulov, Vokhob R. Rasulov, Forrukh U. Kasimov, Mardonbek Kh. Nasirov, Islam E. Farmanov, Abay Z. Tursinbaev

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).



