Quantum Hall effect in intersubband transitions of GaN/AlGaN Quantum well without Landau levels

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In the article the Quantum Spin Hall effects are shown to be related with intraband transitions of bulk GaN. In the framework of the effective mass theories we have solved the Schrödinger equation if the topological insulator transformation is achieved. In the article the Schrödinger equation are shown to be connected with the symmetry point group of C_{6v}. The exact solutions of the Schrödinger equations as well as Quantum Spin Hall effect of intersubband transitions of bulk GaN are found. For the hexagonal symmetry of GaN the Effective Hamiltonian based on C_{6v} point symmetry group was found. Derivation of expressions of momentum matrix elements of the both intersubband phototransitions as well as interband phototransitions for bulk GaN are considered. In the article for Quantum Hall effect of intersubband phototransitions of bulk GaN the expressions of Berry curvature as well as Hall conductivities have been found when the topological insulator transformation is achieved.

@BOOK{Mildred:2008qr,

    title = {Group theory: application to the physics of condensed matter},

    publisher = {Springer-Verlag, Berlin, Heidelberg},

    author = {Mildred, A.~J. and Dresselhaus, S. and Dresselhaus, Gene},

    year = {2008},

    edition = {},

}

 

@ARTICLE{Szmulowicz:1995jd,

    author = {Szmulowicz, F.},

    title = {},

    journal = {Phys. Rev. B},

    year = {1995},

    volume = {51},

    pages = {1613},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@BOOK{Bir:1974qr,

    title = {Symmetry and Strain Induced Effects in Semiconductors},

    publisher = {Wiley, New-York},

    author = {Bir, G.~L. and Pikus, G.~E.},

    year = {1974},

    edition = {},

}

 

@ARTICLE{Casella1:1960jd,

    author = {Casella, R.~C.},

    title = {},

    journal = {Phys. Rev. Lett.},

    year = {1960},

    volume = {5},

    pages = {371},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Chuang:1996jd,

    author = {Chuang, S.~L. and Chang, C.~S.},

    title = {},

    journal = {Phys. Rev. B},

    year = {1996},

    volume = {54},

    pages = {2491},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Vasko:2008jd,

    author = {Vasko, F.~T. and Ryzhii, V.},

    title = {},

    journal = {Phys. Rev. B},

    year = {2008},

    volume = {77},

    pages = {195433},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

 

 

 

 

@ARTICLE{Sirenko1:1996jd,

    author = {Sirenko, Yu.~M. and Jeon, J.~B. and Kim, K.~W. and Littlejohn, M.~A. and Stroscio, M.~A.},

    title = {},

    journal = {Phys. Rev. B.},

    year = {1996},

    volume = {53},

    pages = {1997},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Sirenko3:1997jd,

    author = {Sirenko, Yu.~M. and Jeon, J.~B. and Lee, B.~C. and Kim, K.~W. and Littlejohn, M.~A. and Stroscio, M.~A. and Iafrate, G.~I.},

    title = {},

    journal = {Phys. Rev. B.},

    year = {1997},

    volume = {55},

    pages = {4360},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

 

 

@BOOK{Yu:1996qr,

    title = {Fundamentals of Semiconductors},

    publisher = {Springer, Berlin},

    author = {Yu, P.~Y. and Cardona, M.},

    year = {1996},

    edition = {},

}

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

@ARTICLE{Lokot:2009jd,

    author = {Lokot, L.~O.},

    title = {},

    journal = {Ukr. J. Phys.: Optics, Laser, Quant. Electronics},

    year = {2009},

    volume = {54},

    pages = {963},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

 

 

 

 

 

 

 

 

 

 

@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},

    title = {},

    journal = {arXiv:0807.4204v3 [cond-mat.mes-hall], 2010, Phys. Rev. B},

    year = {2010},

    volume = {82},

    pages = {245313},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@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},

    title = {},

    journal = {arXiv:1205.2912v1 [cond-mat.mtrl-sci], 2012, Phys. Rev. Lett.},

    year = {2012},

    volume = {109},

    pages = {186803},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Xiao:2012jd,

    author = {Xiao, D. and Liu, G.~B. and Feng, W. and Xu, X. and Yao, W.},

    title = {},

    journal = {Physical Review Letters},

    year = {2012},

    volume = {108},

    pages = {196802},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{LokotPB:2018jd,

    author = {Lokot,~Liubov~E.},

    title = {},

    journal = {ResearchGate, https:// www.researchgate. net/ publication /327035542},

    year = {2018},

    volume = {},

    pages = {},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Engel:2007jd,

    author = {Engel, Hans-Andreas. and Rashba, Emmanuel.~I. and Halperin, Bertrand.~I.},

    title = {},

    journal = {arXiv:cond-mat/0603306v3[cond-mat.mes-hall]},

    year = {23 May 2007},

    volume = {},

    pages = {},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Haldane:1988jd,

    author = {Haldane, F.~D.~M.},

    title = {},

    journal = {Physical Review Letters},

    year = {1988},

    volume = {61},

    pages = {2015},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Tang:2011jd,

    author = {Tang, Evelyn. and Mei, Jia-Wei. and Wen, Xiao-Gang.},

    title = {},

    journal = {Physical Review Letters},

    year = {2011},

    volume = {106},

    pages = {236802},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Neupert:2011jd,

    author = {Neupert, Titus. and Santos, Luiz. and Chamon, Claudio. and Mudry, Christopher.},

    title = {},

    journal = {Physical Review Letters},

    year = {2011},

    volume = {106},

    pages = {236804},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Sun:2011jd,

    author = {Sun, Kai. and Gu, Zhengcheng. and Das Sarma, S.},

    title = {},

    journal = {Physical Review Letters},

    year = {2011},

    volume = {106},

    pages = {236803},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Roy:2011jd,

    author = {Roy, Rahul. and Sondhi, Shivaji.~L.},

    title = {},

    journal = {Physics},

    year = {2011},

    volume = {4},

    pages = {46},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Tsukazaki:2007jd,

    author = {Tsukazaki, A. and Ohtomo, A. and Kita, T. and Ohno, Y. and Ohno, H. and Kawasaki, M.},

    title = {},

    journal = {Science},

    year = {2007},

    volume = {315},

    pages = {1388},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Tsukazaki1:2007jd,

    author = {Tsukazaki, A. and Akasaka, S. and Nakahara, K. and Ohno, Y. and Ohno, H. and Maryenko, D. and Ohtomo, A. and Kawasaki, M.},

    title = {},

    journal = {Nature Materials},

    year = {2010},

    volume = {9},

    pages = {889},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Lokot@1:2018jd,

    author = {Lokot,~Liubov~E.},

    title = {},

    journal = {ResearchGate, https://www.researchgate.net/publication/327388163},

    year = {2018},

    volume = {},

    pages = {},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Lokot@2:2018jd,

    author = {Lokot,~Liubov~E.},

    title = {},

    journal = {ResearchGate, https://www.researchgate.net/publication/327035542},

    year = {2018},

    volume = {},

    pages = {},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Lokot@3:2018jd,

    author = {Lokot,~Liubov~E.},

    title = {},

    journal = {ResearchGate, https://www.researchgate.net/publication/322725726},

    year = {2018},

    volume = {},

    pages = {},

    number = {},

    month = {},

    publisher = {Publisher}

}

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