Diffusive transport in quasi-2D and quasi-1D electron systems

Journal of Computational and Theoretical Nanoscience

Volumn 6, Issue 8, 2009, Pages 1725-1753

  Knezevic, I ^a   Ramayya, E B ^a   Vasileska, D ^b   Goodnick, S M ^b  

^a University of Wisconsin Madison   (United States)

^b Arizona State University   (United States)

Author keywords

2DEG; Boltzmann transport equation; Confined phonons; Diffusive transport; Monte carlo simulation; Nanostructures; Nanowires; Quantum confinement; Scattering; SiNW

Indexed keywords

2DEG; BOLTZMANN TRANSPORT EQUATION; CONFINED PHONONS; DIFFUSIVE TRANSPORT; MONTE CARLO SIMULATION; SINW;

BOLTZMANN EQUATION; ELECTRIC WIRE; ELECTRONS; MONTE CARLO METHODS; NANOWIRES; PERIODIC STRUCTURES; PHONONS; QUANTUM CONFINEMENT; SCATTERING; SEMICONDUCTING SILICON COMPOUNDS; SURFACE ROUGHNESS; TWO DIMENSIONAL;

QUANTUM CHEMISTRY;

EID: 70350169970     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: 10.1166/jctn.2009.1240     Document Type: Review

References (130)

1. T. Ando, A. B. Fowler, and F. Stem, Rev. Mod. Phys. 54, 437 (1982
2. D. K. Ferry, Semiconductors, MacMillan, New York (1991
3. D. K. Ferry and S. M. Goodick, Transport in Nanostructures, Cambridge University Press, Cambridge, UK (1997
4. C. Jacoboni and L. Reggiani, Rev. Mod. Phys. 55, 645 (1983
5. M. Nedjalkov, D. Vasileska, D. K. Ferry, C. Jacoboni, C. Ringhofer, I. Dimov, and V. Palankovski, Phys. Rev. B 74, 035311, (2006
6. R. Lake and S. Datta, Phys. Rev. B 45, 6670 (1992
7. R. Lake, G. Klimeck, R. C. Bowen, and D. Jovanovic, J. Appl. Phys. 81, 7845 (1997
8. R. Tsu and L. Esaki, Appl. Phys. Lett. 22, 562 (1973
9. J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994
10. C.-J. Sheu and S.-L. Jang, Solid-State Electron. 44, 1819 (2000
11. D. Vasileska and S. S. Ahmed, IEEE Trans. Electron Dev. 52, 227 (2005
12. S. Jin, M. V. Fischetti, and T. Tang, J. Appl. Phys. 102, 083715 (2007
13. E. B. Ramayya, D. Vasileska, S. M. Goodnick, and I. Knezevic J. Appl. Phys. 104, 063711 (2008
14. R. H. Dennard, F. H. Gaensslen, H.-N. Yu, V. L. Rideout, E. Bassous, and A. R. LeBlanc, IEEE J. Solid-State Circuits 9, 256 (1974
15. J. R. Brews, W. Fichtner, E. H. Nicollian, and S. M. Sze, IEEE Electron Dev. Lett. 1, 2 (1980
16. S. Takagi and A. Toriumi, IEEE Trans. Electron Dev. 42, 2125 (1995
17. S. A. Hareland, S. Krishnamurthy, S. Jallepali, C.-F. Yeap, K. Hasnat, A. F. Tasch, Jr., and C. M. Maziar, IEEE Trans. Electron Dev. 43, 90 (1996
18. D. Vasileska, D. K. Schroder, and D. K. Ferry, IEEE Trans. Electron Dev. 44, 584 (1997
19. K. S. Krisch, J. D. Bude, and L. Manchanda, IEEE Electron Dev. Lett. 17, 521 (1996
20. A. Buin, A. Verma, A. Svizhenko, and M. Anantram, Nana Lett. 8, 760(2008
21. X. Lü, J. H. Chu, and W. Z. Shen, J. Appl. Phys. 93, 1219 (2003
22. X. Lü and J. Chu, J. Appl. Phys. 100, 014305, (2006
23. Y. Chen, D. Li, J. R. Lukes, and A. Majumdar, J. Heat Transfer 127, 1129 (2005
24. G. Bacarani and M. R. Worderman, Proceedings of the IEDM 278 (1982
25. M.-S. Liang, J. Y. Choi, P.-K. Ko, and C. Hu, IEEE Trans. Electron Devices 33, 409 (1986
26. A. Hartstein and N. F. Albert, Phys. Rev. B 38, 1235 (1988
27. M. J. van Don, P. H. Woerlee, A. J. Walker, C. A. H. Juffermans and H. Lifka, IEEE Trans. Electron Dev. 39, 932(1992
28. M. J. van Dort, P. H. Woerlee, and A. J. Walker, Solid-State Electron. 37, 411 (1994
29. D. Vasileska and D. K. Ferry, In the Technical Proceedings of the First International Conference on Modeling, Simulation of Microsystems, Semiconductors, Sensors, Actuators (1998), p. 408.
30. https://www.nanohub.org/tools/schred/
31. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
32. W. Kohn and L. Sham, Phys. Rev. 140, Al 133 (1965).
33. L. Hedin and S. Lindquist, Solid State Physics, edited by F. Seitz, D. Turnbull, and H. Ehrenreich, Academic Press, New York (1969) Vol.23, pp. 2-181.
34. M. Lundstrom, Fundamentals of Carrier Transport, Addison-Wesley Publishing Company Inc., New York (1992).
35. D. Vasileska, Ph.D. Dissertation, Arizona State University (1995).
36. P. J. Price, Ann. Phys. 133, 217 (1981).
37. B. K. Ridley, Rep. Prog. Phys. 54, 169 (1991).
38. D. Roychoudhury and P. K. Basu, Rep. Prog. Phys. 22, 6325 (1980).
39. C. Hao, J. Zimmermann, M. Charef, R. Fauquembergue, and E. Constant, Solid State Elect. 28, 733 (1985).
40. S. M. Goodnick and P. Lugli, Phys. Rev. B 37, 2578 (1988).
41. S. Imanaga and Y. Hayafuji, J. Appl. Phys. 70, 1522 (1991).
42. W. Magnus, Solid State Elect. 36, 843 (1993).
43. T. Yamada, J.-R. Zhou, H. Miyata, and D. K. Ferry, IEEE Trans. Elec. Dev. 41, 1513 (1994).
44. D. K. Ferry, Phys. Rev. B 14, 5364 (1976).
45. G. D. Mahan, Many-Particle Physics, Plenum, New York (1981).
46. J. M. Ziman, Electrons and Phonons, Oxford University Press, London (1960).
47. B. K. Ridley, Quantum Processes in Semiconductors, Oxford University Press Inc., New York (1993).
48. F. Seitz, Phys. Rev. 73, 549 (1948).
49. W. A. Harrison, Phys. Rev. 104, 1281 (1956).
50. C. Herring and E. Vogt, Phys. Rev. 101, 944 (1956).
51. D. K. Ferry and C. Jacoboni (Eds.), Quantum Transport in Semiconductors, Plenum, New York (1992).
52. H. J. G. Meyer, Phys. Rev. 112, 298 (1958).
53. H. A. G. de Cerdeira, Solid State Comm. 12, 511 (1973).
54. L. Pintschovius, J. A. Vergéz, and M. Cardona, Phys. Rev. B 26, 5658 (1982).
55. D. K. Ferry, Surf. Sci. 57, 218 (1976).
56. D. K. Ferry, Phys. Rev. B 14, 1605 (1976).
57. S. Zollner, S. Gopalan, and M. Cardona, J. Appl. Phys. 68, 1682 (1990).
58. E. J. Moore, Phys. Rev. 160, 607 (1967).
59. W. Kohn and J. M. Luttinger, Phys. Rev. 108, 590 (1957).
60. J. M. Luttinger, Mathematical Methods in Solid State, Superfluid Theory, Plenum Press, New York (1967).
61. F. Stern and W. E. Howard, Phys. Rev. 163, 816 (1967).
62. J. D. Jackson, Classical Electrodynamics, John Willey & Sons, Inc., New York (1975).
63. J. J. Thomson, Proc. Cambridge Philos. Soc. 11, 1120 (1901).
64. K. Fuchs, Proc. Cambridge Philos. Soc. 34, 100 (1938).
65. E. H. Sondheimer, Adv. Phys. 1, 1 (1952).
66. E. Prange and T. Nee, Phys. Rev. 168, 779 (1968).
67. Z. Tesanovic, M. V. Jaric, and S. Maekawa, Phys. Rev. Lett. 57, 2760 (1986).
68. N. Trivedi and N. W. Ashcroft, Phys. Rev. B 38, 12298 (1988).
69. S. M. Goodnick, R. G. Gann, D. K. Ferry, and C. W. Wilmsen, Surf. Sci. 113, 233 (1982).
70. A. Gold, Solid State Commun. 60, 531 (1986).
71. A. Gold, Phys. Rev. B 35, 723 (1987).
72. G. Fishman and D. Calecki, Phys. Rev. Lett. 62, 1302 (1989).
73. H. Sakaki, T. Noda, K. Hirakawa, M. Tanaka, and T. Matsusue, Appl. Phys. Lett. 51, 1934 (1987).
74. S. M. Goodnick, D. K. Ferry, C. W. Wilmsen, Z. Liliental, D. Fathy, and L. Krivanek, Phvs. Rev. B 32. 8171 (l985).
75. R. M. Feenstra, Phys. Rev. Lett. 72, 2749 (1994).
76. Y. Matsumoto and Y. Uemura, Jpn. J. Appl. Phys. Suppl. 2, 367 (1974).
77. T. Ando, J. Phys. Soc. Japan 43, 1616 (1977).
78. S. M. Goodnick and P. Lugli Phys. Rev. B 52, 5445 (1995).
79. M. Mosko, A. Moskova, and V. Cambel, Phys. Rev. B 51, 16860 (1995).
80. D. Vasileska, P. Bordone, and D. K. Ferry, Proceedings of the Third Interna-tional Workshop on Computational Electronics Portland, Oregon, May (1994).
81. N. W. Ashcroft and N. D. Mermin, Solid State Physics, W. B. Saunders Co., New York, (1976).
82. E. D. Siggia and P. C. Kwok, Phys. Rev. B 2, 1024 (1970).
83. N. D. Mermin, Phys. Rev B 1, 2362 (1970).
84. J. P. Walter and M. L. Cohen, Phys. Rev. B 5, 3101 (1972).
85. L. Wendler and R. Pechstedt, Phys. Stat. Sol. B 138, 197 (1986).
86. W.-Y. Chung and D. K. Ferry, Solid-State Elec. 31, 1369 (1988).
87. H. Haug and C. Ell, Phys. Rev. B 46, 2126 (1992).
88. K. S. Yi, A. M. Kriman, and D. K. Ferry, Semicond. Sci. Technol. 7, B316 (1992).
89. C. Jacoboni and P. Lugli, The Monte Carlo Method for Semiconductor Device Simulation, Springer-Verlag, Vienna (1989).
90. K. Hess, Monte Carlo Device Simulation: Full Band, Beyond, Kluwer Academic Publishing, Boston (1991).
91. M. H. Kalos and P. A. Whitlock, Monte Carlo Methods, Wiley, New York (1986).
92. S. Bosi and C. Jacoboni, J. Phys. C 9, 315 (1976).
93. P. Lugli and D. K. Ferry, IEEE Trans. Electron Devices 32, 2431, (1985).
94. H. Sakaki, Jpn. J. Appl. Phys. 19, L735, (1980).
95. V. Arora, Phys. Stat. Sol. (b) 105, 707 (1981).
96. J. Lee and H. Spector, J. Appl. Phys. 54, 3921 (1983).
97. J. Lee and M. Vassell, J. Phys. C: Solid State Phys. 17, 2525 (1984).
98. G. Sanders, C. Stanton, and Y. Yang, Phys. Rev. B 48, 11067 (1993).
99. J. Wang, A. Rahman, A. Ghosh, G. Klimeck, and M. Lundstrom IEEE Trans. Electron Dev. 52, 1589, (2005).
100. Y. Zheng, C. Rivas, R. Lake, K. Alam, T. B. Boykin, and G. Klimeck, IEEE Trans. Electron Dev. 52, 1097 (2005).
101. C. Harris and E. O'Reilly, Physica E 32, 341 (2006).
102. M. Nolan, S. O'Callaghan, G. Fagas, and J. Greer, Nana Lett. 7, 34 (2007).
103. K. Nehari, N. Cavassilas, and F. Michelini Appl. Phys. Lett. 90, 132112 (2007).
104. E. Gnani, S. Reggiani, A. Gnudi, P. Parruccini, R. Colle, M. Rudan, and G. Baccarani, IEEE Trans. Electron Devices 54, 2243 (2007).
105. S.-M. Koo, A. Fujiwara, J-P. Han, E. M. Vogel, C. A. Richter, and J. E. Bonevich, Nano Lett. 4, 2197 (2004).
106. R. Kotlyar, B. Obradovic, P. Matagne and M. Stettler, and M. D. Giles, Appl. Phys. Lett. 84, 5270, (2004).
107. J. Wang, E. Polizzi, A. Ghosh, S. Datta, and M. Lundstrom, Appl. Phys. Lett. 87, 043101 (2005).
108. M. Lenzi, P. Palestri, E. Gnani, S. Reggiani, A. Gnudi, D. Esseni, L. Selmi, and G. Baccarani, IEEE Trans. Electron Devices 55,2086 (2008).
109. O. Gunawan, L. Sekaric, A. Majumdar, M. Rooks, J. Appenzeller, J. W. Sleight, S. Guha, and W. Haensch, Nano Lett. 8, 1566 (2008).
110. B. Auld, Acoustic fields and Waves in Solids, Wiley-Interscience, New York (1973).
111. Y. S. Ju and K. E. Goodson, Appl. Phys. Lett. 74, 3005 (1999).
112. E. P. Pokatilov, D. L. Nika, and A. A. Balandin, Phys. Rev. B 72, 113311 (2005).
113. E. P. Pokatilov, D. L. Nika, and A. A. Balandin, Superlattices Micmstruct. 38, 168 (2005).
114. N. Nishiguchi, Y. Ando, and M. N. Wybourne, J. Phys.: Condens. Matter. 9, 5751 (1997).
115. W. Weber, Phys. Rev. B 15, 4789 (1977).
116. S. P. Hepplestone and G. P. Srivastava, Phys. Status Solidi C 1, 2617 (2004).
117. R. W. Morse, J. Acoust. Soc. Am. 22, 219 (1950).
118. W. M. Visscher, A. Migliori, T. M. Bell, and R. A. Reinert, J. Acoust. Soc. Am. 90, 2154 (1991).
119. L. Donetti, F. Gámiz and J. B. Roldán, and A. Godoy, J. Appl. Phys 100, 013701 (2006).
120. S. M. Goodnick, D. K. Ferry, C. W. Wilmsen, Z. Liliental, D. Fathy, and L. Krivanek, Phys. Rev. B 32, 8171 (1985).
121. S. Takagi, J. Koga, and A. Toriumi, Jpn. J. Appl. Phys. 37, 1289 (1998).
122. K. Uchida, J. Koga, and S. Takagi, J. Appl. Phys. 102, 074510, (2007).
123. E. B. Ramayya, D. Vasileska, S. M. Goodnick, and I. Knezevic, IEEE Trans. Nanotechnol. 6, 113 (2007).
124. E. B. Ramayya, D. Vasileska, S. M. Goodnick, and I. Knezevic J. Comput. Electron. 7, 319 (2008).
125. http://www.caam.rice.edu/software/ARPACK/
126. M. V. Fischetti and S. E. Laux, Phys. Rev. B 48, 2244 (1993).
127. F. Balestra, S. Cristoloveanu, M. Benachir, J. Brini, and T. E Elewa, IEEE Electron Dev. Lett. 8, 410 (1987).
128. F. Gamiz and M. V. Fischetti, J. Appl. Phys. 89, 5478 (2001).
129. R. Shishir and D. K. Ferry, J. Comput. Electron. 7, 305 (2008).
130. P. Lugli and D. K. Ferry, IEEE Trans. Elec. Dev. ED-32, 2431 (1985).