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Nonlinear electromagnetic response of graphene in tight binding model
Russian version
Davidovich M.V. 1
1Saratov State University, Saratov, Russia
Email: davidovichmv@yandex.ru
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We consider the linear and nonlinear response of a weighted graphene sheet upon incident of a plane electromagnetic wave in the form of a quasi-monochromatic pulse with harmonic filling. The generation of odd harmonics in the reflected and transmitted spectra with a third harmonic generation coefficient of the order of 10-3 is shown. Keywords: graphene, Schrodinger equation, strong coupling model, kinetic Boltzmann equation, harmonic generation.
  1. P.R. Wallace. Phys. Rev. 71, 622 (1947). DOI: 10.1103/PhysRev.71.622
  2. T. Ando. J. Phys. Society Jpn., 74 (3), 777 (2005). DOI: 10.1143/jpsj
  3. R. Saito, G. Dresselhaus, M.S. Dresselhaus. Physical Properties of Carbon Nanotubes (Imperial College Press, London, UK, 1998)
  4. G. Lovat, G.W. Hanson, R. Araneo, P. Burghignoli. Phys. Rev. B, 87, 115429 (2013). DOI: 10.1103/PhysRevB.87.115429
  5. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim. Rev. Mod. Phys., 81, 109 (2009). DOI: 10.1103/RevModPhys.81.109
  6. S. Das Sarma, S. Adam, E.H. Hwang, E. Rossi. Rev. Mod. Phys., 83 (2), 407 (2011). DOI: 10.1103/RevModPhys.83.407
  7. G.W. Hanson. J. Appl. Phys., 103, 064302 (2008). DOI: 10.1063/1.2891452
  8. L.A. Falkovsky, A.A. Varlamov. Eur. Phys. J. B, 56, 281 (2007). DOI: 10.1140/epjb/e2007-00142-3
  9. L.A. Falkovsky. OpticJ. Phys. Conf. Ser., 129 (1), 012004 (2008). DOI: 10.1088/1742-6596/129/1/012004
  10. L.A. Falkovsky, S.S. Pershoguba. Phys. Rev. B, 76 (15), 153410 (2007). DOI: 10.1103/PhysRevB.76.153410
  11. L.A. Falkovsky. Phys. Usp., 55, 1140 (2012). DOI: 10.3367/UFNe.0182.201211i.1223
  12. L.A. Falkovsky. Phys. Usp., 51, 887 (2008). DOI: 10.1070/PU2008v051n09ABEH006625
  13. A.K. Geim, K.S. Novoselov. Nat. Mater, 6, 183 (2007). DOI: 10.1038/nmat1849
  14. V.P. Gusynin, S.G. Sharapov, J.P. Carbotte. Int. J. Mod. Phys. B, 21, 4611 (2007). DOI: 10.1142/S0217979207038022
  15. S. Reich, J. Maultzsch, C. Thomsen. Phys. Rev. B, 669, 035412 (2002). DOI: 10.1103/PhysRevB.66.035412
  16. T. Fang, A. Konar, H. Xing, D. Jena. Appl. Phys. Lett., 91, 092109 (2007). DOI: 10.1063/1.2776887
  17. N.N. Rozanov, Nelineinaya optika. Part I. Uravneniya rasprostraneniya izlucheniya i nelineyniy otklik sredy (SPb. State University Institute of Precision Mechanics and Optics, SPb, 2008)
  18. M.V. Davidovich. Tech. Phys., 69 (3), 265 (2024)
  19. M.V. Davidovich. Quant. Electron., 49 (9), 868 (2019). DOI: 10.1070/QEL16950
  20. S.A. Mikhailov. Europhys. Lett., 79, 27002 (2007). DOI: 10.1209/0295-5075/79/27002
  21. M. Lewkowicz, B. Rosenstein. Phys. Rev. Lett., 102, 106802 ((2009). DOI: 10.1103/PhysRevLett.102.106802
  22. B. Dora, R. Moessner. Phys. Rev. B, 81, 165431 (2010). DOI: 10.1103/PhysRevB.81.165431
  23. B. Rosenstein, M. Lewkowicz, H.C. Kao, Y. Korniyenko. Phys. Rev. B, 81, 041416(R) (2010). DOI: 10.1103/PhysRevB.81.041416
  24. M. Mecklenburg, J. Woo, B.C. Regan. Phys. Rev. B, 81, 245401 (2010). DOI: 10.1103/PhysRevB.81.245401
  25. H.C. Kao, M. Lewkowicz, B. Rosenstein. Phys. Rev. B, 82, 035406 (2010). DOI: 10.1103/PhysRevB.82.035406
  26. N. Vandecasteele, A. Barreiro, M. Lazzeri, A. Bachtold, F. Mauri. Phys. Rev. B, 82, 045416 (2010). DOI: 10.1103/PhysRevB.82.045416
  27. M. Lewkowicz, H.-C. Kao, B. Rosenstein. Phys. Rev. B, 84, 035414 (2011). DOI: 10.1103/PhysRevB.84.035414
  28. M.O. Goerbig. Rev. Mod. Phys., 83, 1193 (2011). DOI: 10.1103/RevModPhys.83.1193
  29. S.P. Gavrilov, D.M. Gitman, N. Yokomizo. Phys. Rev. D, 86, 125022 (2012). DOI: 10.1103/PhysRevD.86.125022
  30. N. Yokomizo. Ann. Phys., 351, 166 (2014). DOI: 10.1016/j.aop.2014.08.024
  31. E. Barnes, E.H. Hwang, R. Throckmorton, S. Das Sarma. Phys. Rev. B, 89, 235431 (2014). DOI: 10.1103/PhysRevB.89.235431
  32. S.A. Sato, H. Hirori, Y. Sanari, Y. Kanemitsu, A. Rubio. Phys. Rev. B, 103, L041408 (2021). DOI: 10.1103/PhysRevB.103.L041408
  33. S.A. Smolyansky, A.D. Panferov, D.B. Blaschke, N.T. Gevorgyan. Particles, 2, 208 (2019). DOI: 10.3390/particles2020015
  34. S.A. Smolyansky, D.B. Blaschke, V.V. Dmitriev, A.D. Panferov, N.T. Gevorgyan. Particles, 3, 456 (2020). DOI: 10.3390/particles3020032
  35. S.P. Gavrilov, D.M. Gitman. Eur. Phys. J. Plus, 138, 171 (2023). DOI: 10.1140/epjp/s13360-023-03786-9
  36. V.A. Tseryupa, D.V. Churochkin, V.V. Dmitriev, S.A. Smolyansky. ZhTF, 94 (3), 351 (2024) (in Russian). DOI: 10.61011/JTF.2024.03.57371.1-24
  37. T. Higuchi, C. Heide, K. Ullmann, H.B. Weber, P. Hommelhof. Nature, 550, 224 (2017). DOI: 10.1038/nature23900
  38. H.A. Hafez, S. Kovalev, J.-C. Deinert, Z. Mics, B. Green, N. Awari, M. Chen, S. Germanskiy, U. Lehnert, J. Teichert, Z. Wang, K.-J. Tielrooij, Z. Liu, Z. Chen, A. Narita, K. Mullen, M. Bonn, M. Gensch, D. Turchinovich. Nature, 561, 507 (2018). DOI: 10.1038/s41586-018-0508-1
  39. S. Kovalev, H.A. Hafez, K.-J. Tielrooij, J.-C. Deinert, I. Ilyakov, N. Awari, D. Alkaraz, K. Soundarapandian, D. Saleta, S. Germanskiy, M. Chen, M. Bawatna, B. Green, F.H.L. Koppens, M. Mittendorf, M. Bonn, M. Gensch, D. Turchinovich. Sci. Adv., 7, eabf9809 (2021). DOI: 10.1126/sciadv.abf9809
  40. E. Hendry, P.J. Hale, J. Moger, A.K. Savchenko, S.A. Mikhailov. Phys. Rev. Lett., 105, 097401 (2010). DOI: 10.1103/PhysRevLett.105.097401
  41. Z. Mics, K.-J. Tielrooij, K. Parvez, S.A. Jensen, I. Ivanov, X. Feng, K. Mullen, M. Bonn, D. Turchinovich. Nature Commun., 6, 7655 (2015). DOI: 10.1038/ncomms8655
  42. N. Yoshikawa, T. Tamaya, K. Tanaka. Science, 356, 736 (2017). DOI: 10.1126/science.aam8861
  43. I.V. Oladyshkin, S.B. Bodrov, Yu.A. Sergeev, A.I. Korytin, M.D. Tokman, A.N. Stepanov. Phys. Rev. B, 96, 155401 (2017). DOI: 10.1103/PhysRevB.96.155401
  44. I.V. Oladyshkin, S.B. Bodrov, A.V. Korzhimanov, A.A. Murzanev, Yu.A. Sergeev, A.I. Korytin, M.D. Tokman, A.N. Stepanov. Phys. Rev. B, 106, 205407 (2022). DOI: 10.1103/PhysRevB.106.205407
  45. C. Heide, T. Eckstein, T. Boolakee, C. Gerner, H.B. Weber, I. Franco, P. Hom-melhoff. Nano Lett., 21, 9403 (2021). DOI: 10.1021/acs.nanolett.1c02538
  46. S. Cha, M. Kim, Y. Kim, S. Choi, S. Kang, H. Kim, S. Yoon, G. Moon, T. Kim, Y.W. Lee, G.Y. Cho, M.J. Park, C.-J. Kim, B.J. Kim, J.D. Lee, M.-H. Jo, J. Kim. Nature Commun., 13, 6630 (2022). DOI: 10.1038/s41467-022-34337-y
  47. A.I. Berdyugin, N. Xin, H. Gao, S. Slizovskiy, Z. Dong, S. Bhattacharjee, P. Kumaravadivel, S. Xu, L.A. Ponomarenko, M. Holwill1, D.A. Bandurin, M. Kim, Y. Cao, M.T. Greenaway, K.S. Novoselov, I.V. Grigorieva, K. Watanabe, T. Taniguchi, V.I. Fal'ko, L.S. Levitov, R. Krishna Kumar, A.K. Geim. Science, 375 (6579), 430 (2022). DOI: 10.1126/science.abi8627
  48. A. Schmitt, P. Vallet, D. Mele, M. Rosticher, T. Taniguchi, K. Watanabe, E. Bocquillon, G. Feve, J.M. Berroir, C. Voisin, J. Cayssol, M.O. Goerbig, J. Troost, E. Baudin, B. Pla cais. Nature Phys., 19, 830 (2023). DOI: 10.1038/s41567-023-01978-9
  49. K. Nakagawa, W. Mao, S.A. Sato, H. Ago, A. Rubio, Y. Kanemitsu, H. Hirori. APL Photon., 9, 076107 (2024). DOI: 10.1063/5.0212022
  50. Y. Kim, M.J. Kim, S. Cha, S. Choi, C.-J. Kim, B.J. Kim, M.-H. Jo, J. Kim, J.D. Lee. Nano Lett., 24, 1277 (2024). DOI: 10.1021/acs.nanolett.3c04278
  51. S.A. Mikhailov. Phys. Rev. B, 93, 085403 (2016). DOI: 10.1103/PhysRevB.93.085403
  52. S.A. Mikhailov, K. Ziegler. J. Phys.: Condens. Matter, 20, 384204 (2008). DOI: 10.1088/0953-8984/20/38/384204
  53. J.L. Cheng, N. Vermeulen, J.E. Sipe. Phys. Rev. B, 91, 235320 (2015). DOI: 10.1103/PhysRevB.91.235320
  54. A. Pitilakis, D. Chatzidimitriou, E.E. Kriezis. Opt. Quant. Electron., 48, 243 (2016). DOI: 10.1007/s11082-016-0510-5

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