Abstract
This chapter explores the DR in QWs of HD nonlinear optical Materials based on a newly formulated electron dispersion relation considering all types of anisotropies of the energy band spectrum within the framework of k·p formalism in the presence of Gaussian band tails. We have also investigated the DR in QWs of HD III–V, II–VI, IV–VI, stressed Kane type materials, Te, GaP, PtSb2, Bi2Te3, Ge, GaSb, II–V, Lead Germanium Telluride, Zinc and Cadmium Diphosphides respectively. The most striking features are that the presence of poles in the dispersion relation of the materials in the absence of band tail creates the complex energy spectrum in the corresponding HD samples and effective electron mass exists within the band gap which is impossible without the concept of band tails. In the absence of band-tails, the imaginary part vanishes. The constant energy k space is a three dimensional close volume and for 2D electrons \( E - k_{s}^{2} \) is the quantized circles, ellipses and closed 2D quantized surfaces in both real and complex planes respectively. Section 2.4 contains 16 open research problems, which form the integral part of this chapter. The secret of a great scholar is to know some new thing that nobody else know.
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References
J.W. Rowe, J.L. Shay, Phys. Rev. B 3, 451 (1973)
H. Kildal, Phys. Rev. B 10, 5082 (1974)
J. Bodnar, in Proceedings of the International Conference on Physics of Narrow-gap Semiconductors (Polish Science Publishers, Warsaw, 1978)
G.P. Chuiko, N.N. Chuiko, Sov. Phys. Semicond. 15, 739 (1981)
K.P. Ghatak, S.N. Biswas, Proc. SPIE 1484, 149 (1991)
J.A. Zapien, Y.K. Liu, Y.Y. Shan, H. Tang, C.S. Lee, S.T. Lee, Appl. Phys. Lett. 90, 213114 (2007)
M. Park, Proc. SPIE 2524, 142 (1995)
S.-G. Hur, E.T. Kim, J.H. Lee, G.H. Kim, S.G. Yoon, Electrochem. Solid-State Lett. 11, H176 (2008)
H. Kroemer, Rev. Mod. Phys. 73, 783 (2001)
T. Nguyen Duy, J. Meslage, G. Pichard, J. Crys. Growth 72, 490 (1985)
T. Aramoto, F. Adurodija, Y. Nishiyama, T. Arita, A. Hanafusa, K. Omura, A. Morita, Solar Energy Mater. Solar Cells 75, 211 (2003)
H.B. Barber, J. Electron. Mater. 25, 1232 (1996)
S. Taniguchi, T. Hino, S. Itoh, K. Nakano, N. Nakayama, A. Ishibashi, M. Ikeda, Electron. Lett. 32, 552 (1996)
J.J. Hopfield, J. Appl. Phys. 32, 2277 (1961)
K.P. Ghatak, J.Y. Siddiqui, B. Nag, Phys. Lett. A 282, 428 (2001)
K.P. Ghatak, S. Karmakar, D. De, S. Pahari, S.K. Charaborty, S.K. Biswas, S. Chowdhury, J. Comput. Theor. Nanosci. 3, 153 (2006)
K.P. Ghatak, M. Mondal, J. Appl. Phys. 66, 3056 (1989)
K.P. Ghatak, M. Mondal, Thin Solid Films 148, 219 (1987)
K.P. Ghatak, P.K. Bose, S. Bhattacharya, A. Bhattacharjee, D. De, S. Ghosh, S. Debbarma, N. Paitya, Quantum Matter 2, 83 (2013)
A. Sinha, A.K. Sharma, R. Barui, A.R. Ghatak, S. Bhattacharya, K.P. Ghatak, Physica B 391, 141 (2007)
G.P. Agrawal, N.K. Dutta, Semicond. Lasers (Van Nostrand Reinhold, New York, 1993)
S. Chatterjee, U. Pal, Opt. Eng. (Bellingham) 32, 2923 (1993)
T.K. Chaudhuri, Int. J. Energy Res. 16, 481 (1992)
J.H. Dughaish, Phys. B 322, 205 (2002)
C. Wood, Rep. Prog. Phys. 51, 459 (1988)
K.-F. Hsu, S. Loo, F. Guo, W. Chen, J.S. Dyck, C. Uher, T. Hogan, E.K. Polychroniadis, M.G. Kanatzidis, Science 303, 818 (2004)
J. Androulakis, K.F. Hsu, R. Pcionek, H. Kong, C. Uher, J.J. D’Angelo, A. Downey, T. Hogan, M.G. Kanatzidis, Adv. Mater. 18, 1170 (2006)
P.F.P. Poudeu, J. D’Angelo, A.D. Downey, J.L. Short, T.P. Hogan, M.G. Kanatzidis, Angew. Chem. Int. Ed. 45, 3835 (2006)
P.F. Poudeu, J. D’Angelo, H. Kong, A. Downey, J.L. Short, R. Pcionek, T.P. Hogan, C. Uher, M.G. Kanatzidis, J. Am. Chem. Soc. 128, 14347 (2006)
J.R. Sootsman, R.J. Pcionek, H. Kong, C. Uher, M.G. Kanatzidis, Chem. Mater. 18, 4993 (2006)
A.J. Mountvala, G. Abowitz, J. Am. Ceram. Soc. 48, 651 (1965)
E.I. Rogacheva, I.M. Krivulkin, O.N. Nashchekina, AYu. Sipatov, V.A. Volobuev, M.S. Dresselhaus. Appl. Phys. Lett. 78, 3238 (2001)
H.S. Lee, B. Cheong, T.S. Lee, K.S. Lee, W.M. Kim, J.W. Lee, S.H. Cho, J.Y. Huh, Appl. Phys. Lett. 85, 2782 (2004)
K. Kishimoto, M. Tsukamoto, T. Koyanagi, J. Appl. Phys. 92, 5331 (2002)
E.I. Rogacheva, O.N. Nashchekina, S.N. Grigorov, M.A. Us, M.S. Dresselhaus, S.B. Cronin, Nanotechnology 14, 53 (2003)
E.I. Rogacheva, O.N. Nashchekina, A.V. Meriuts, S.G. Lyubchenko, M.S. Dresselhaus, G. Dresselhaus, Appl. Phys. Lett. 86, 063103 (2005)
E.I. Rogacheva, S.N. Grigorov, O.N. Nashchekina, T.V. Tavrina, S.G. Lyubchenko, AYu. Sipatov, V.V. Volobuev, A.G. Fedorov, M.S. Dresselhaus. Thin Solid Films 493, 41 (2005)
X. Qiu, Y. Lou, A.C.S. Samia, A. Devadoss, J.D. Burgess, S. Dayal, C. Burda, Angew. Chem. Int. Ed. 44, 5855 (2005)
C. Wang, G. Zhang, S. Fan, Y. Li, J. Phys. Chem. Solids 62, 1957 (2001)
B. Poudel, W.Z. Wang, D.Z. Wang, J.Y. Huang, Z.F. Ren, J. Nanosci. Nanotechnol. 6, 1050 (2006)
B. Zhang, J. He, T.M. Tritt, Appl. Phys. Lett. 88, 043119 (2006)
W. Heiss, H. Groiss, E. KaQWmann, G. Hesser, M. Böberl, G. Springholz, F. Schäffler, K. Koike, H. Harada, M. Yano, Appl. Phys. Lett. 88, 192109 (2006)
B.A. Akimov, V.A. Bogoyavlenskiy, L.I. Ryabova, V.N. Vasil’kov, Phys. Rev. B 61, 16045 (2000)
Ya. A. Ugai, A.M. Samoilov, M.K. Sharov, O.B. Yatsenko, B.A. Akimov, Inorg. Mater. 38, 12 (2002)
Ya. A. Ugai, A.M. Samoilov, S.A. Buchnev, Yu. V. Synorov, M.K. Sharov, Inorg. Mater. 38, 450 (2002)
A.M. Samoilov, S.A. Buchnev, YuVSynorov, B.L. Agapov, A.M. Khoviv. Inorg. Mater. 39, 1132 (2003)
A.M. Samoilov, S.A. Buchnev, E.A. Dolgopolova, YuVSynorov, A.M. Khoviv. Inorg. Mater. 40, 349 (2004)
H. Murakami, W. Hattori, R. Aoki, Phys. C 269, 83 (1996)
H. Murakami, W. Hattori, Y. Mizomata, R. Aoki, Phys. C 273, 41 (1996)
H. Murakami, R. Aoki, K. Sakai, Thin Solid Films 27, 343 (1999)
B.A. Volkov, L.I. Ryabova, D.R. Khokhlov, Phys. Usp. 45, 819 (2002)
F. Hüe, M. Hÿtch, H. Bender, F. Houdellier, A. Claverie, Phys. Rev. Lett. 100, 156602 (2008)
S. Banerjee, K.A. Shore, C.J. Mitchell, J.L. Sly, M. Missous, I.E.E. Proc, Circuits Devices Syst. 152, 497 (2005)
M. Razeghi, A. Evans, S. Slivken, J.S. Yu, J.G. Zheng, V.P. Dravid, Proc. SPIE 5840, 54 (2005)
R.A. Stradling, Semicond. Sci. Technol. 6, C52 (1991)
P.K. Weimer, Proc. IEEE 52, 608 (1964)
G. Ribakovs, A.A. Gundjian, IEEE J. Quant. Electron. QE-14, 42 (1978)
S.K. Dey, J. Vac. Sci. Technol. 10, 227 (1973)
S.J. Lynch, Thin Solid Films 102, 47 (1983)
V.V. Kudzin, V.S. Kulakov, D.R. Pape’, S.V. Kulakov, V.V. Molotok, IEEE. Ultrason. Symp. 1, 749 (1997)
F. Hatami, V. Lordi, J.S. Harris, H. Kostial, W.T. Masselink, J. Appl. Phys. 97, 096106 (2005)
B.W. Wessels, J. Electrochem. Soc. 722, 402 (1975)
D.W.L. Tolfree, J. Sci. Instrum. 41, 788 (1964)
P.B. Hart, Proc. IEEE 61, 880 (1973)
M.A. Hines, G.D. Scholes, Adv. Mater. 15, 1844 (2003)
C.A. Wang, R.K. Huang, D.A. Shiau, M.K. Connors, P.G. Murphy, P.W. O’Brien, A.C. Anderson, D.M. DePoy, G. Nichols, M.N. Palmisiano, Appl. Phys. Lett. 83, 1286 (2003)
C.W. Hitchcock, R.J. Gutmann, J.M. Borrego, I.B. Bhat, G.W. Charache, I.E.E.E. Trans, Electron. Devices 46, 2154 (1999)
H.J. Goldsmid, R.W. Douglas, Br. J. Appl. Phys. 5, 386 (1954)
F.D. Rosi, B. Abeles, R.V. Jensen, J. Phys. Chem. Sol. 10, 191 (1959)
T.M. Tritt (ed.), Semiconductors and Semimetals, vols. 69, 70 and 71: Recent Trends in Thermoelectric Materials Research I, II and III (Academic Press, New York, 2000)
D.M. Rowe (ed.), CRC Handbook of Thermoelectrics (CRC Press, Boca Raton, 1995)
D.M. Rowe, C.M. Bhandari, Modern Thermoelectrics (Reston Publishing Company, Virginia, 1983)
D.M. Rowe (ed.), Thermoelectrics Handbook: Macro to Nano (CRC Press, Boca Raton, 2006)
H. Choi, M. Chang, M. Jo, S.J. Jung, H. Hwang, Electrochem. Solid-State Lett. 11, H154 (2008)
S. Cova, M. Ghioni, A. Lacaita, C. Samori, F. Zappa, Appl. Opt. 35, 1956 (1996)
H.W.H. Lee, B.R. Taylor, S.M. Kauzlarich, Nonlinear Optics: Materials, Fundamentals, and Applications (Technical Digest, 2000), p. 12
E. Brundermann, U. Heugen, A. Bergner, R. Schiwon, G.W. Schwaab, S. Ebbinghaus, D.R. Chamberlin, E.E. Haller, M. Havenith, in 29th International Conference on Infrared and MillimeterWaves and 12th International Conference on Terahertz, Electronics, vol. 283 (2004)
A.N. Baranov, T.I. Voronina, N.S. Zimogorova, L.M. Kauskaya, Y.P. Yakoviev, Sov. Phys. Semicond. 19, 1676 (1985)
M. Yano, Y. Suzuki, T. Ishii, Y. Matsushima, M. Kimata, Jpn. J. Appl. Phys. 17, 2091 (1978)
F.S. Yuang, Y.K. Su, N.Y. Li, Jpn. J. Appl. Phys. 30, 207 (1991)
F.S. Yuang, Y.K. Su, N.Y. Li, K.J. Gan, J. Appl. Phys. 68, 6383 (1990)
Y.K. Su, S.M. Chen, J. Appl. Phys. 73, 8349 (1993)
S.K. Haywood, A.B. Henriques, N.J. Mason, R.J. Nicholas, P.J. Walker, Semicond. Sci. Technol. 3, 315 (1988)
G.C. Young, W.W. Anderson, L.B. Anderson, Trans. Electron Dev. IEEE 24, 492 (1977)
R.L. Gordon, V.I. Neeley, H.R. Curtin, Proc. IEEE 54, 2014 (1966)
P.K. Weimer, Proc. IRE 50, 1462 (1962)
M.J. Lee, S. W. Wright, C. P. Judge, P. Y. Cheung, in Display Research Conference, International Conference Record, p. 211 (1991)
L.A. Vassilev, Phys. Stat. Sol. (b) 121, 203 (1984)
J.M. Thornton, J. Mol. Biol. 151, 261 (1981); T.E. Creighton, Methods Enzymol. 131, 83 (1986); T.E. Creighton, Bio Essays 8, 57 (1988)
V.J. Hruby, Life Sci. 31, 189 (1982); V.J. Hruby, F. Al-Obeidi, W. Kazmierski, Biochem. J. 268, 249 (1990)
R. Wetzel, Trends Biochem. Sci. 12, 478 (1987)
T. Kimura, R. Matsueda, Y. Nakagawa, E.T. Kaiser, Anal. Biochem. 122, 274 (1982)
D. Andreu, F. Albericio, N.A. Sole, M.C. Munson, M. Ferrer, G. Barnay, in Methods in Molecular Biology, 35 Peptide Synthesis Protocols, ed. by M.W. Pennington, B.M. Dunna (Humana Press Inc., USA, 1994)
E.O. Kane, Phys. Rev. 131, 79 (1963). Phys. Rev. B. 139, 343 (1965)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Wiley, New York, 1964)
I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965)
E.O. Kane, in Semiconductors and Semimetals, vol. 1, ed. by R.K. Willirdson, A.C. Beer (Academic Press, New York, 1966), p. 75
E.D Palik, G.B. Wright, in Semiconductors and Semimetals vol. 3, ed. by R.K Willardson, A.C Beer, 3 (Academic Press, New York, USA, 1967), p. 421; H.I. Zhang, Phys. Rev, 1B, 3450 (1970)
G.E. Stillman, C.M. Wolfe, J.O. Dimmock, in Semiconductors and Semimetals, vol. 12, ed. by R.K. Willardon, A.C. Beer (Academic Press, New York, 1977), p. 169
E.D. Palik, G.S. Picus, S. Teither, R.E. Wallis, Phys. Rev. 475 (1961)
D.G. Seiler, B.D. Bajaj, A.E. Stephens, Phys. Rev. B 16, 2822 (1977); A.V. Germaneko, G.M. Minkov, Phys. Stat. Sol. (b) 184, 9 (1994); G.L. Bir, G.E. Pikus, Symmetry and Strain–Induced effects in Semiconductors Nauka, Russia (1972). (in Russian); M. Mondal, K.P. Ghatak, Phys. Stat. Sol. (b) 135, K21 (1986)
J. Bouat, J.C. Thuillier, Surf. Sci. 73, 528 (1978)
G.J. Rees, Phys. of Compounds, Proc. of the 13th Inter. Nat. Conf., ed. by F.G. Fumi (North Holland Company, 1976), p. 1166
P.R. Emtage, Phys. Rev. 138, A246 (1965)
M. Stordeur, W. Kuhnberger, Phys. Stat. sol. (b), 69, 377 (1975); D.R. Lovett, Semimetals and Narrow-Bandgap Semiconductor (Pion Limited, UK, 1977); H. Kohler, Phys. Stat. Sol.(b), 74, 591 (1976)
M. Cardona, W. Paul, H. Brooks Helv, Acta Phys. 33, 329 (1960); A.F. Gibson in Proceeding of International School of Physics “ENRICO FERMI” course XIII, ed. by R.A Smith (Academic Press, 1963), p. 171
C.C. Wang, N.W. Ressler, Phys. Rev. 2, 1827 (1970)
M. Zalazny, Phys. B 124, 352 (1984)
P.C. Mathur, S. Jain, Phys. Rev. 19, 1359 (1979)
Y. Yamada, J. Phys. Japan 35, 1600 (1973); M. Singh, P.R. Wallace, S.D. Jog, E. Arushanov, J. Phys. Chem. Solids 45, 409 (1984)
S. Takaoka, K. Murase, Phys. Rev. B, Phys. Rev. B 20, 2823 (1979)
G.P. Chuiko, Sov. Phys. Semi. 19(12), 1381 (1985)
V. Heine, Proc. Phys. Soc. 81, 300 (1963)
J.N. Schulman, Y.C. Chang, Phys. Rev. B 24, 4445 (1981)
B.R. Nag, Electron Transport in Compound Semiconductors (Springer, Heidelberg, 1980)
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Ghatak, K. (2016). The DRs in Ultrathin Films (UFs) of Heavily Doped (HD) Non-parabolic Materials. In: Dispersion Relations in Heavily-Doped Nanostructures. Springer Tracts in Modern Physics, vol 265. Springer, Cham. https://doi.org/10.1007/978-3-319-21000-1_2
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