Strong Spin-orbit coupling and natural optical gyrotropy via interaction with coherent phonon oscillations in intrinsic Graphene and Rb_{2}ZnBr_{4} crystals with Incommensurate Phases

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The analytical solutions of the Maxwell wave equations as well as natural optical gyrotropy effects are found in Rb_{2}ZnBr_{4} as well as K_{2}SeO_{4} Incommensurate phases crystals connected with giant light velocity as well as via interaction with coherent phonon oscillations. In the framework of the superspace symmetry group theories the Maxwell wave equations are solved which are shown to be connected with the symmetry group of D_{2h}^{16} or isomorphic groups. In the paper the non-zero gyration g_{33} and gyrotropic birefringence \epsilon_{12} tensors of K_{2}SeO_{4} and Rb_{2}ZnBr_{4} materials based on D_{2h}^{16} space symmetry group were found. The values of natural optical gyrotropy as well as Rashba spin splitting are shown to be specified like (k^{(0)}\pm\tilde{k}^{(2)})^{2} as displacements of two symmetrically allocated parabolas from Brillouin zone center. In the article the natural optical gyrotropy effects are shown to be found with light velocity like \epsilon=\hbar\,ck/eV=14.0798 eV but the corresponding wave vector was estimated to be k=7.161*10^{5} cm^{-1}. The found strong natural optical gyrotropy has been based on available experimental data [Phys. Rev. B 38, 8075, (1988)].

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}

 

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}

 

@BOOK{Yu:1996qr,
    title = {Fundamentals of Semiconductors},
    publisher = {Springer, Berlin},
    author = {Yu, P.~Y. and Cardona, M.},
    year = {1996},
    edition = {},
}

 

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    author = {Lokot, L.~O.},
    title = {},
    journal = {Ukr. J. Phys.: Optics, Laser, Quant. Electronics},
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    volume = {54},
    pages = {963},
    number = {},
    month = {},
    publisher = {Publisher}
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@ARTICLE{Lokot2:2016jd,
    author = {Lokot, Liubov~E.},
    title = {Rashba spin splitting in zinc-blende $\textrm{GaN}$ quantum wells},
    journal = {ResearchGate, researchgate.net/profile/Liubov\underline{ }Lokot},
    year = {2016},
    volume = {},
    pages = {},
    number = {},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{LokotLiubov:2018jd,
    author = {Lokot, Liubov~E.},
    title = {Exciton bleaching and electron teleportation driven by magnetic field in dilute $\textrm{GaAs(N)}$ quantum wells},
    journal = {ResearchGate, researchgate.net/profile/Liubov\underline{ }Lokot},
    year = {2018},
    volume = {},
    pages = {},
    number = {},
    month = {},
    publisher = {Publisher}
}

 

@BOOK{Mitin:1999qr,
    title = {Quantum Heterostructures},
    publisher = {Cambridge University Press, New York},
    author = {Mitin, V.~V. and Kochelap, V.~A. and Stroscio M.~A.},
    year = {1999},
    edition = {},
}

 

@ARTICLE{lokot:2015jd,
    author = {Lokot, Lyubov~E.},
    title = {},
    journal = {arXiv: 1501.03696v2 [cond-mat.mes-hall] (2015), SSRG International Journal Material Science and Engineering},
    year = {2015},
    volume = {1},
    pages = {1},
    number = {2},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot111:2015jd,
    author = {Lokot,~Lyubov~E.},
    title = {},
    journal = {F1000Workspace, Journal of Materials Science and Chemical Engineering},
    year = {2015},
    volume = {3},
    pages = {71},
    number = {},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot112:2015jd,
    author = {Lokot,~Liubov~E.},
    title = {},
    journal = {https://www.mendeley.com/ profiles/ liubov-lokot/, Journal of Advances in Physics},
    year = {2015},
    volume = {10},
    pages = {2583},
    number = {1},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot113:2015jd,
    author = {Lokot,~Lyubov~E.},
    title = {},
    journal = {arXiv:1409.0303v1 [cond-mat.mes-hall], Physica E},
    year = {2015},
    volume = {68},
    pages = {176},
    number = {},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot114:2015jd,
    author = {Lokot,~Lyubov~E.},
    title = {},
    journal = {https://www.researchgate.net /publication/ 282664504, Electronic Journal of Theoretical Physics},
    year = {2015},
    volume = {12},
    pages = {135},
    number = {33},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot115:2015jd,
    author = {Lokot,~Lyubov~E.},
    title = {},
    journal = {https://www.researchgate.net/ publication/ 281104177, Journal of Advances in Physics},
    year = {2015},
    volume = {11},
    pages = {2927},
    number = {1},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot116:2016jd,
    author = {Lokot,~Liubov~E.},
    title = {},
    journal = {ResearchGate, https:// www.researchgate. net/ publication /292962594},
    year = {2016},
    volume = {},
    pages = {},
    number = {},
    month = {},
    publisher = {Publisher}
}

 

@ARTICLE{Lokot117:2016jd,
    author = {Lokot,~Liubov~E.},
    title = {},
    journal = {ResearchGate, https://dx.doi.org/ 1013140/ RG.2.1.2588.2480},
    year = {2016},
    volume = {},
    pages = {15},
    number = {},
    month = {May},
    publisher = {Publisher}
}

 

@BOOK{Lokot118:2016qr,
    title = {Instability of incommensurate phase of Abrikosov vortex lattice at diffraction metal grating/graphene interface},
    publisher = {F1000Physics: Condens. Matter, F1000.com/Workspace},
    author = {Lokot, Liubov.~E.},
    year = {2016},
    edition = {},
}

 

@ARTICLE{Lokot:2012jd,
    author = {Lokot, L.~O.},
    title = {},
    journal = {arXiv:1302.2780v1 [cond-mat.mes-hall], 2013, Ukr. J. Phys.},
    year = {2012},
    volume = {57},
    pages = {12},
    number = {},
    month = {},
    publisher = {Publisher}
}

 

@BOOK{Winkler:2003qr,
    title = {Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems},
    publisher = {Springer-Verlag, Berlin, Heidelberg, New-York},
    author = {Winkler, Roland},
    year = {2003},
    edition = {},
}

 

@ARTICLE{Winkler1:2010jd,
    author = {Winkler, R. and Z\"{u}licke},
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@ARTICLE{Miao:2012jd,
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@ARTICLE{Xiao:2012jd,
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@ARTICLE{LokotPB:2018jd,
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@ARTICLE{Engel:2007jd,
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@ARTICLE{Neupert:2011jd,
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@ARTICLE{Sun:2011jd,
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@ARTICLE{Roy:2011jd,
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@ARTICLE{Tsukazaki:2007jd,
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@ARTICLE{Tsukazaki1:2007jd,
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@ARTICLE{Lokot@3:2018jd,
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@ARTICLE{Wassner:2009jd,
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@ARTICLE{Chernikov:2013jd,
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@ARTICLE{Lokot1:2013jd,
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@ARTICLE{Kipshidze:2003jd,
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@ARTICLE{Khan2:2008jd,
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@ARTICLE{Nagahama1:2001jd,
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@ARTICLE{Nagahama2:2002jd,
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@ARTICLE{Kneissl1:2003jd,
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@ARTICLE{Kneissl2:2003jd,
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@ARTICLE{Fan:1996jd,
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@ARTICLE{Sirenko2:1996jd,
    author = {Sirenko, Yu.~M. and Jeon, J.~B. and Kim, K.~W. and Littlejohn, M.~A. and Stroscio, M.~A.},
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@ARTICLE{Bychkov:1984jd,
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@ARTICLE{Banal:2009jd,
    author = {Banal, R.~G. and Funato, M. and Kawakami, Y.},
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@BOOK{Engel:2007qr,
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@ARTICLE{Maslov:2005jd,
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@ARTICLE{Miao:2012jd,
    author = {Miao, M.~S. and Yan, Q. and Van de Walle, C.~G. and Lou, W.~K. and Li, L.~L. and Chang, K.},
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@ARTICLE{Scheibenzuber:2009jd,
    author = {Scheibenzuber, W.~G. and Schwarz, U.~T. and Veprek, R.~G. and Witzigmann, B. and Hangleiter, A.},
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@ARTICLE{Bardyszewski:2012jd,
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@ARTICLE{Rashba:2012jd,
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@ARTICLE{Rashba:2004jd,
    author = {Rashba, E.~I.},
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@BOOK{Chowbook:1994qr,
    title = {Semiconductor Laser Physics},
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@ARTICLE{Chow:1999jd,
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@ARTICLE{Haug:1984jd,
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    volume = {9},
    pages = {3},
    number = {},
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