Abstract
The asymmetry of the wave-vector space of the charge carriers in semiconductors indicates the fact that in ultrathin films (UFs), the restriction of the motion of the carriers in the direction normal to the film (say, the z–direction) may be viewed as carrier confinement in an infinitely deep 1D rectangular potential well, leading to quantization [known as quantum size effect (QSE)] of the wave vector of the carrier along the direction of the potential well, allowing 2D carrier transport parallel to the surface of the film epitomizing new physical features not exhibited in bulk semiconductors [1–4]. The low-dimensional heterostructures based on various materials are widely explored because of the enhancement of carrier mobility [5]. These properties make such structures befitting for applications in quantum well lasers [6], heterojunction FETs [7, 8], high-speed digital networks [9–12], high-frequency microwave circuits [13], optical modulators [14], optical switching systems [15], and other devices.
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References
L.L. Chang, H. Esaki, C.A. Chang, L. Esaki, Phys. Rev. Lett. 38, 1489 (1977)
K. Less, M.S. Shur, J.J. Drunnond, H. Morkoc, IEEE Trans. Electron. Devices ED-30, 07 (1983)
M.J. Kelly, Low Dimensional Semiconductors: Materials, Physics, Technology, Devices (Oxford University Press, Oxford 1995)
C. Weisbuch, B. Vinter, Quantum Semiconductor Structures (Boston Academic Press, Boston, 1991)
N.T. Linch, Festkorperprobleme 23, 27 (1985)
D.R. Sciferes, C. Lindstrom, R.D. Burnham, W. Streifer, T.L. Paoli, Electron. Lett. 19, 170 (1983)
P.M. Solomon, Proc. IEEE. 70, 489 (1982)
T.E. Schlesinger, T. Kuech, Appl. Phys. Lett. 49, 519 (1986)
D. Kasemet, C.S. Hong, N. B. Patel, P.D. Dapkus, Appl. Phys. Lett. 41, 912 (1982)
K. Woodbridge, P. Blood, E.D. Pletcher, P.J. Hulyer, Appl. Phys. Lett. 45, 16 (1984)
S. Tarucha, H.O. Okamoto, Appl. Phys. Lett. 45, 16 (1984)
H. Heiblum, D.C. Thomas, C.M. Knoedler, M.I Nathan, Appl. Phys. Lett. 47, 1105 (1985)
O. Aina, M. Mattingly, F.Y. Juan, P.K. Bhattacharyya, Appl. Phys. Lett. 50, 43 (1987)
I. Suemune, L.A. Coldren, IEEE J. Quant. Electron. 24, 1178 (1988)
D.A.B. Miller, D.S. Chemla, T.C. Damen, J.H. Wood, A.C. Burrus, A.C. Gossard, W. Weigmann, IEEE J. Quant. Electron. 21, 1462 (1985)
P. Harrison, Quantum Wells, Wires and Dots (Wiley, USA, 2002)
B.K. Ridley, Electrons and Phonons in Semiconductors Multilayers (Cambridge University Press, London, 1997)
G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Halsted, Les Ulis, Les Editions de Physique, New York, 1988)
V.V. Martin, A.A. Kochelap, M.A. Stroscio, Quantum Heterostructures (Cambridge University Press, London, 1999)
C.S. Lent, D.J. Kirkner, J. Appl. Phys. 67, 6353 (1990)
F. Sols, M. Macucci, U. Ravaioli, K. Hess, Appl. Phys. Lett. 54, 350 (1980)
C.S. Kim, A.M. Satanin, Y.S. Joe, R.M. Cosby, Phys. Rev. B 60, 10962 (1999)
S. Midgley, J.B. Wang, Phys. Rev. B 64, 153304 (2001)
T. Sugaya, J.P. Bird, M. Ogura, Y. Sugiyama, D.K. Ferry, K.Y. Jang, Appl. Phys. Lett. 80, 434 (2002)
B. Kane, G. Facer, A. Dzurak, N. Lumpkin, R. Clark, L. PfeiKer, K. West, Appl. Phys. Lett. 72, 3506 (1998)
C. Dekker, Phys Today 52, 22 (1999)
A. Yacoby, H.L. Stormer, N.S. Wingreen, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 77, 4612 (1996)
Y. Hayamizu, M. Yoshita, S. Watanabe, H.A.L. PfeiKer, K. West, Appl. Phys. Lett. 81, 4937 (2002)
S. Frank, P. Poncharal, Z.L. Wang, W.A. Heer, Science 280, 1744 (1998)
I. Kamiya, I. I. Tanaka, K. Tanaka, F. Yamada, Y. Shinozuka, H. Sakaki, Physica E 13, 131 (2002)
A.K. Geim, P.C. Main, N. LaScala, L. Eaves, T.J. Foster, P.H. Beton, J.W. Sakai, F.W. Sheard, M. Henini, G. Hill et al., Phys. Rev. Lett. 72, 2061 (1994)
K. Schwab, E.A. henriksen, J. M. Worlock, M.L. Roukes, Nature 404, 974 (2000)
L. Kouwenhoven, Nature 403, 374 (2000)
S. Komiyama, O. Astafiev, V. Antonov, H. Hirai, Nature 403, 405 (2000)
A.S. Melinkov, V.M. Vinokur, Nature 415, 60 (2002)
E. Paspalakis, Z. Kis, E. Voutsinas, A.F. Terziz, Phys. Rev. B 69, 155316 (2004)
J.H. Jefferson, M. Fearn, D.L.J. Tipton, T.P. Spiller, Phys. Rev. A 66, 042328 (2002)
J. Appenzeller, C. Schroer, T. Schapers, A. Hart, A. Froster, B. Lengeler, H. Luth, Phys. Rev. B 53, 9959 (1996)
J. Appenzeller, C. Schroer, J. Appl. Phys. 87, 31659 (2002)
P. Debray, O.E. Raichev, M. Rahman, R. Akis, W.C. Mitchel, Appl. Phys. Lett. 74, 768 (1999)
S. Iijima, Nature 354, 56 (1991)
V.N. Popov, Mater. Sci. Eng. R.43, 61 (2004)
J. Sandler, M.S.P. Shaffer, T. Prasse, W. Bauhofer, K. Schulte, A.H. Windle, Polymer 40, 5967 (1999)
D. Qian, E.C. Dickey, R. Andrews, T. Rantell, Appl. Phys. Lett. 76, 2868 (2000)
J. Kong, N.R. Franklin, C.W. Zhou, M.G. Chapline, S. Peng, K.J. Cho, H.J. Dai, Science 287, 622 (2000)
W.A. Deheer, A. Chatelain, D. Ugarte, Science 270, 1179 (1995)
A.G. Rinzler, J.H. Hafner, P. Nikolaev, L Lou, S.G. Kim, D. Tomanek, P. Nordlander, D.T. Olbert, R.E. Smalley, Science 269, 1550 (1995)
A.C. Dillon, K.M. Jones, T.A. Bekkedahl, C.H. Kiang, D.S. Bethune, M.J. Heben, Nature 386, 377 (1997)
C. Liu, Y.Y. Fan, M. Liu, H.T. Cong, H.M. Cheng, M.S. Dresselhaus, Science 286, 1127 (1999)
P. Kim, C.M. Lieber, Science 286, 2148 (1999)
D. Srivastava, Nanotechnology 8, 186 (1997)
C. Ke, H.D. Espinosa, Appl. Phys. Lett. 85, 681 (2004)
J. W. Kang, H.J. Hwang, Nanotechnology 15, 1633 (2004)
J. Cumings, A. Zettl, Science 289, 602 (2000)
S.J. Tans, M.H. Devoret, H.J. Dai, A. Thess, R.E. Smalley, LJ. Geerligs, C. Dekker, Nature 386, 474 (1997)
S.J. Tans, A.R.M. Verschueren, C. Dekker, Nature 393, 49 (1998)
P. Avouris, Acc. Chem. Res. 35, 1026 (2002)
P.G. Collins, A. Zettl, H. Bando, A. Thess, R.E. Smalley, Science 278,100 (1997)
S. Saito, Science 278, 77 (1997)
J.C. Charlier, Acc. Chem. Res. 35, 1063 (2002)
R.H. Baughman, A.A. Zakhidov, W.A. de Heer, Science 297, 787 (2002)
Z. Yao, H.W.C. Postma, L. Balents, C. Dekker, Nature 402, 273 (1999)
C.W. Zhou, J. Kong, E. Yenilmez, H. Dai, Science 290, 1552 (2000)
S.J. tans, A.R.M. Verschueren, C. Dekker, Nature 393, 49 (1998)
H.W.Ch. Postma, T. Teepen, Z. Yao, M. Grifoni, C. Dekker, Science 293, 76 (2001)
T. Rueckes, K. Kim, E. Joselevich, G.Y. Tseng, C.L. Cheung, C.M. Lieber, Science 289, 94 (2000)
A. Bacthtold, P. Hadley, T. Nakanish, C. Dekker, Science 294, 1317 (2001)
Q. Zheng, Q. Jiang, Phys. Rev. Lett. 88, 045503 (2002)
Q. Zheng, J.S. Liu, Q. Jiang, Phys. Rev. B 65, 245409 (2002)
Y. Zhao, C.-C. Ma, G.H. Chen, Q. Jiang, Phys. Rev. Lett. 91, 175504 (2003)
S.B. Legoas, V.R. Coluci, S.F. Braga, P.Z. Coura, S.O. Dantus, D.S. Galvao, Phys. Rev. Lett. 90, 055504 (2003)
S.B. Legaos, V.R. Coluci, S.F. Braga, P.Z. Coura, S.O. Dantus, D.S. Galvao, Nanotechnology 15, S184 (2004)
J.W. Kang, H.W. Hwang, J. Appl. Phys. 96, 3900 (2004)
W.Y. Choi, J.W. Kang, H.W. Hwang, Physica E 23, 125 (2004)
H.J. Hwang, K.R. Byun, J.W. Kang, Physica E 23, 208 (2004)
J.W. Kang, H.J. Hwang, Physica E 23, 36 (2004)
J.W. Kang, H.J. Hwang, J. Appl. Phys. 73, 4447 (2004)
J.W. Kang, H.J. Hwang, J. Phys. Soc. Jpn. 73, 1077 (2004)
J.W. Kang, Y.W. Choi, H.J. Hwang, J. Comp. Theor. Nanosci. 1, 199 (2004)
M. Dequesnes, S.V. Rotkin, N.R. Aluru, Nanotechnology 13, 120 (2002)
J.M. Kinaret, T. Nord, S. Viefers, Appl. Phys. Lett. 82, 1287 (2003)
C. Ke, H.D. Espinosa, Appl. Phys. Lett. 85, 681 (2004)
L.M. Jonsson, T. Nord, J.M. Kinaret, S. Viefers, J. Appl. Phys. 96, 629 (2004)
L.M. Jonsson, S. Axelsson, T. Nord, S. Viefers, J.M. Kinaret, Nanotechnology 15, 1497 (2004)
S.W. Lee, D.S. Lee, R.E. Morjan, S.H. Jhang, M. Sveningsson, O.A. Nerushev, Y.W. Park, E.E.B. Campbell, Nano. Lett. 4, 2027 (2004)
R. Saito, G. Dresselhaus, M.S. Dresselhaus, Physical Properties of Carbon Nanotubes, (Imperial College Press, London, 1998)
R. Heyd, A. Charlier, E. McRae, Phys. Rev. B 55, 6820 (1997)
J.W. Mintmire, C.T. White, Phys. Rev. Lett. 81, 2506 (1998)
K.P. Ghatak, S. Bhattacharya, D. De, Einstein Relation in Compound Semiconductors and Their Nanostructures, Springer Series in Materials Science, vol. 116 (Springer, Germany, 2008)
J.S. Blakemore, Semiconductor Statistics (Dover, USA, 1987)
K.P. Ghatak, S. Bhattacharya, S. Bhowmick, R. Benedictus, S. Chowdhury, J. Appl. Phys. 103, 034303 (2008)
B.R. Nag, Electron Transport in Compound Semiconductors (Springer, Germany, 1980)
R.W. Cunningham, Phys. Rev. 167, 761 (1968)
A.I. Yekimov, A.A. Onushchenko, A.G. Plyukhin, Al.L. Efros, J. Exp. Theor. Phys. 88, 1490 (1985)
B.J. Roman, A.W. Ewald, Phys. Rev. B 5, 3914 (1972)
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Ghatak, K.P., Bhattacharya, S. (2010). Thermoelectric Power in Ultrathin Films and Quantum Wires Under Large Magnetic Field. In: Thermoelectric Power in Nanostructured Materials. Springer Series in Materials Science, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10571-5_2
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