Strain effects on the valence band spectra, the interband matrix elements, and the light gain spectrum in zinc-blende GaN quantum wells are studied. In the framework of the effective mass theory, the Schrödinger equation is solved for the valence bands with a $3\times3$ block Hamiltonian. The results are illustrated for the GaN/Al_{0.19}Ga_{0.81}N quantum well. It is found, that under the compressive biaxial strain, the matrix elements of optical transitions from the heavy hole band have the strict x (or y) light polarization. The origin of the large negative mass concerned of geometry of the valence band spectra and the strong modification of the momentum matrix elements are shown to be related to the tensile biaxial strain effects. The casual twofold degeneration of the heavy hole and the light hole states at the Brillouin zone center additional to double spin-degeneration is derived. The strong momentum matrix element for the z polarization is found. Both Rashba spin splitting in zinc-blende GaN quantum wells as well as the concerned geometry of the valence band spectra are shown to be related with the found optical transitions of z light polarization. In the article RSOI (Rashba spin-orbit interaction) effect is found. It is shown, that the biaxial strain causes quite significant changes to the gain spectra in spatially confined structures. It is shown, that laser effect is suppressed with arising of the circular loop of valence band maxima in the heterostructure under the tensile strain, while under the compressive strain, the stimulated optical transitions give rise to the large optical gain. Our results show the internal strain effects are important in optical properties of GaN and associated quantum well structures. Comparison with available experimental data shows good agreement [Phys. Rev. B 79, 121308(R), (2009)].

 

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@BOOK{Landau:1977qr,

    title = {Quantum Mechanics. Non-Relativistic Theory},

    publisher = {Pergamon, NewYork},

    author = {Landau, L.~D. and Lifshitz, E.~M.},

    year = {1977},

    edition = {4th},

}

 

@BOOK{Nakamura:1997qr,

    title = {The Blue Laser Diode},

    publisher = {Springer, Berlin},

    author = {Nakamura, S. and Fasol, G.},

    year = {1997},

    edition = {},

}

 

@ARTICLE{Aggarwal:1996jd,

    author = {Aggarwal, R.~L. and Maki, P.~A. and Liau, Z.~L. and Melngailis I.},

    title = {},

    journal = {J. Appl. Phys.},

    year = {1996},

    volume = {79},

    pages = {2148},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Nakamura1:1996jd,

    author = {Nakamura, S. and Senoh, M. and Nagahama, S. and Iwasa, N. and Yamada, T. and Matsushita, T. and Kiyoku, H. and Sugimoto, Y.},

    title = {},

    journal = {Jpn. J. Appl. Phys.},

    year = {1996},

    volume = {35},

    pages = {L74},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Nakamura2:1995jd,

    author = {Nakamura, S.},

    title = {},

    journal = {J. Vac. Sci. Technol. A},

    year = {1995},

    volume = {13},

    pages = {705},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Savage:2007jd,

    author = {Savage, N.},

    title = {},

    journal = {Nature Photonics},

    year = {2007},

    volume = {1},

    pages = {83},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Khan1:2000jd,

    author = {Khan, M.~Asif and et. al.},

    title = {},

    journal = {J. Appl. Phys.},

    year = {2000},

    volume = {76},

    pages = {1161},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Iwaya:2001jd,

    author = {Iwaya, M. and Takanami, S. and Miyazaki, A. and Wanatabe, Y. and Kamiyama, S. and Amano, H. and Akasaki, I.},

    title = {},

    journal = {Phys. Status Solidi A},

    year = {2001},

    volume = {188},

    pages = {117},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Kipshidze:2003jd,

    author = {Kipshidze, G. and Kuryatkov, V. and Borisov, B. and Holtz, M. and Nikishin, S. and Temkin, H.},

    title = {},

    journal = {J. Appl. Phys.},

    year = {2003},

    volume = {93},

    pages = {1363},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Zhang:2002jd,

    author = {Zhang, J.~P. and et. al.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {2002},

    volume = {81},

    pages = {4910},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Adivarahan:2004jd,

    author = {Adivarahan, V. and Wu, S. and Zhang, J.~P. and Chitnis, R.~A. and Shatalov, M. and Mandavilli, V. and Gaska, R. and Khan, M.~A.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {2004},

    volume = {84},

    pages = {4762},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Khan2:2008jd,

    author = {Khan, A. and Balakrishnan, K. and Katona, T.},

    title = {},

    journal = {Nature Photonics},

    year = {2008},

    volume = {2},

    pages = {77},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Nagahama1:2001jd,

    author = {Nagahama, S. and Yanamoto, T. and Sano, M. and Mukai, T.},

    title = {},

    journal = {Jpn. J. Appl. Phys., Part 2},

    year = {2001},

    volume = {40},

    pages = {L788},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Nagahama2:2002jd,

    author = {Nagahama, S. and Yanamoto, T. and Sano, M. and Mukai, T.},

    title = {},

    journal = {Jpn. J. Appl. Phys., Part 1},

    year = {2002},

    volume = {41},

    pages = {5},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Kneissl1:2003jd,

    author = {Kneissl, M. and Treat, D. and Teepe, M. and Miyashita, N. and Johnson, N.~M.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {2003},

    volume = {82},

    pages = {2386},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Kneissl2:2003jd,

    author = {Kneissl, M. and Treat, D. and Teepe, M. and Miyashita, N. and Johnson, N.~M.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {2003},

    volume = {82},

    pages = {4441},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Masui:2003jd,

    author = {Masui, S. and Matsuyama, Y. and Yanamoto, T. and Kozaki, T. and Nagahama, S. and Mukai, T.},

    title = {},

    journal = {Jpn. J. Appl. Phys., Part 2},

    year = {2003},

    volume = {42},

    pages = {L1318},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Iida:2004jd,

    author = {Iida, K. and et. al.},

    title = {},

    journal = {Jpn. J. Appl. Phys., Part 2},

    year = {2004},

    volume = {43},

    pages = {L499},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Takano:2004jd,

    author = {Takano, T. and Narita, Y. and Horiuchi, A. and Kawanishi, H.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {2004},

    volume = {84},

    pages = {3567},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Markoc:1994jd,

    author = {Marko\c{c}, H. and Strite, S. and Gao, G.~B. and Lin, M.~E. and Sverdlov, B. and Burns, M.},

    title = {},

    journal = {J. Appl. Phys.},

    year = {1994},

    volume = {76},

    pages = {1363},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Perry:1997jd,

    author = {Perry, W.~G. and Zheleva, T. and Bremser, M.~D. and Davies, R.~F. and Shan, W. and Song, J.~J.},

    title = {},

    journal = {J. Electron. Mater.},

    year = {1997},

    volume = {26},

    pages = {224},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Jain:2000jd,

    author = {Jain, S.~C. and Willander, M. and Narayan, J. and Van Overstraeten, R.},

    title = {},

    journal = {J. Appl. Phys.},

    year = {2000},

    volume = {87},

    pages = {965},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@BOOK{Madelung:1991qr,

    title = {Semiconductors},

    publisher = {Springer, Berlin},

    author = {Madelung, O.},

    year = {1991},

    edition = {},

}

 

@ARTICLE{Shan:1995jd,

    author = {Shan, W. and Schmidt, T.~J. and Yang, X.~H. and Hwang, S.~J. and Song, J.~J. and Goldenberg, B.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {1995},

    volume = {66},

    pages = {985},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@BOOK{Yu:1996qr,

    title = {Fundamentals of Semiconductors},

    publisher = {Springer, Berlin},

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

    year = {1996},

    edition = {},

}

 

@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{Rashba:1959jd,

    author = {Rashba, E.~I.},

    title = {},

    journal = {Sov. Phys. Solid State},

    year = {1959},

    volume = {1},

    pages = {368},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Pikus:1962jd,

    author = {Pikus, G.~E.},

    title = {},

    journal = {Sov. Phys. JETP},

    year = {1962},

    volume = {14},

    pages = {898},

    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{Luttinger:1956jd,

    author = {Luttinger, J.~M.},

    title = {},

    journal = {Phys. Rev.},

    year = {1956},

    volume = {102},

    pages = {1030},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Chao:1992jd,

    author = {Chao, S.~Y.~P and Chuang, S.~L.},

    title = {},

    journal = {Phys. Rev. B.},

    year = {1992},

    volume = {46},

    pages = {4110},

    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}

}

 

@BOOK{Kochelap: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{Casella1:1960jd,

    author = {Casella, R.~C.},

    title = {},

    journal = {Phys. Rev. Lett.},

    year = {1960},

    volume = {5},

    pages = {371},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Rashba3:1960jd,

    author = {Rashba, E.~I.},

    title = {},

    journal = {Sov. Phys. Solid State},

    year = {1960},

    volume = {2},

    pages = {1109},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Mahan:1964jd,

    author = {Mahan, G.~D. and Hopfield, J.~J.},

    title = {},

    journal = {Phys. Rev.},

    year = {1964},

    volume = {135},

    pages = {A428},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Voon:1996jd,

    author = {Voon, L.~C. and et. al.},

    title = {},

    journal = {Phys. Rev. B.},

    year = {1996},

    volume = {53},

    pages = {10703},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Fan:1996jd,

    author = {Fan, W.~J. and Li, M.~F. and Chong, T.~C. and Xia, J.~B.},

    title = {},

    journal = {J. Appl. Phys.},

    year = {1996},

    volume = {79},

    pages = {188},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Kim:1998jd,

    author = {Kim, C.~H. and Han, B.~H.},

    title = {},

    journal = {Solid State Commun.},

    year = {1998},

    volume = {106},

    pages = {127},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Suzuki:1996jd,

    author = {Suzuki, M. and Uenoyama, T.},

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {1996},

    volume = {69},

    pages = {3378},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Sirenko2:1996jd,

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

    title = {},

    journal = {Appl. Phys. Lett.},

    year = {1996},

    volume = {69},

    pages = {2504},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Casella2:1959jd,

    author = {Casella, R.~C.},

    title = {},

    journal = {Phys. Rev.},

    year = {1959},

    volume = {114},

    pages = {1514},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Chuang1:1996jd,

    author = {Chuang, S.~L.},

    title = {},

    journal = {J. Quantum Electron.},

    year = {1996},

    volume = {32},

    pages = {1791},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Yamada:1995jd,

    author = {Yamada, T. and Ferry, D.~K.},

    title = {},

    journal = {Solid State Electronics},

    year = {1995},

    volume = {38},

    pages = {881},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Wagner:2002jd,

    author = {Wagner, J.~M. and Bechstedt, F.},

    title = {},

    journal = {Phys. Rev. B.},

    year = {2002},

    volume = {66},

    pages = {115202},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Bychkov:1984jd,

    author = {Bychkov, Y.~A. and Rashba, E.~I.},

    title = {},

    journal = {JETP Lett},

    year = {1984},

    volume = {39},

    pages = {78},

    number = {},

    month = {},

    publisher = {Publisher}

}

 

@ARTICLE{Banal:2009jd,

    author = {Banal, R.~G. and Funato, M. and Kawakami, Y.},

    title = {},

    journal = {Phys. Rev. B},

    year = {2009},

    volume = {79},

    pages = {121308(R)},

    number = {},

    month = {},

    publisher = {Publisher}

}