Distributed non-equilibrium Green's function algorithms for the simulation of nanoelectronic devices with scattering

Journal of Applied Physics

Volumn 110, Issue 4, 2011, Pages

  Cauley, Stephen ^a   Luisier, Mathieu ^b   Balakrishnan, Venkataramanan ^b   Klimeck, Gerhard ^b   Koh, Cheng Kok ^b  

^a MASSACHUSETTS GENERAL HOSPITAL   (United States)

^b Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMISTIC MODELS; COMPACT REPRESENTATION; COMPUTATION TIME; COMPUTATIONAL BURDEN; COMPUTATIONAL PROBLEM; CURRENT CHARACTERISTIC; DEVICE SIMULATIONS; DEVICE STRUCTURES; DISTRIBUTED REPRESENTATION; ELECTRON PHONON SCATTERING; MATHEMATICAL OPERATIONS; MATRIX; MATRIX PRODUCTS; NANOELECTRONIC DEVICES; NON-EQUILIBRIUM GREEN'S FUNCTION; PARALLEL OPERATIONS; SELF ENERGY; SEMISEPARABLE MATRICES; STRUCTURED MATRIXES;

COMPUTATIONAL EFFICIENCY; DIFFERENTIAL EQUATIONS; GREEN'S FUNCTION; MATRIX ALGEBRA; NANOELECTRONICS; NANOWIRES; PHONONS; SCATTERING;

EQUIPMENT;

EID: 80052401866     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3624612     Document Type: Article

References (28)

1. A. Svizhenko, M. P. Anantram, T. R. Govindan, B. Biegel, and R. Venugopal, J. Appl. Phys. 91 (4), 2343 (2002). 10.1063/1.1432117
2. S. Cauley, J. Jain, C.-K. Koh, and V. Balakrishnan, J. Appl. Phys. 101, 123715 (2007). 10.1063/1.2748621
3. S. Li, S. Ahmed, G. Klimeck, and E. Darve, J. Comput. Phys. 227 (22), 9408 (2008). 10.1016/j.jcp.2008.06.033
4. M. Stadele, R. Tuttle, and K. Hess, J. Appl. Phys. 89 (1), 348 (2001). 10.1063/1.1330764
5. T. A. Davis, ACM Trans. Math. Software 30 (2), 196 (2004). 10.1145/992200.992206
6. J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li, and J. W. H. Liu, SIAM J Matrix Analysis and Applications 20 (3), 720 (1999). 10.1137/S0895479895291765
7. T. B. Boykin, M. Luisier, and G. Klimeck, Phys. Rev. B 77, 165318 (2008). 10.1103/PhysRevB.77.165318
8. K. Bowden, Int. J. Gen. Syst. 15, 185 (1989). 10.1080/03081078908935044
9. B. Bukhberger and G. A. Emel'yanenko, Comp. Math. Math. Phys. 13, 10 (1973). 10.1016/0041-5553(73)90096-7
10. E. M. Godfrin, J. Phys.: Conden. Matter 3, 7843 (1991). 10.1088/0953-8984/3/40/005
11. T. Oohashi, TRU Mathematics 14, 39 (1978).
12. T. Torii, Technology Reports of the Osaka University 16, 403 (1966).
13. G. Meurant, SIAM Journal on Matrix Analysis and Applications 13 (3), 707 (1992). 10.1137/0613045
14. E. Asplund, Mathematica Scandinavica 7, 57 (1959). 10.3109/ 00016345909157997
15. S. O. Asplund, Mathematica Scandinavica 7, 49 (1959). 10.3109/00016345909157997
16. R. Bevilacqua, B. Codenotti, and F. Romani, Linear Algebra Appl. 104, 39 (1988). 10.1016/0024-3795(88)90305-9
17. R. Nabben, SIAM J. Matrix Analysis and Applications 20 (3), 820 (1999). 10.1137/S0895479897317259
18. F. Romani, Linear Algebra Appl. 80, 131 (1986). 10.1016/0024-3795(86) 90281-8
19. P. Rozsa, Integral Equations and Operator Theory 50, 82 (1987).
20. P. Rozsa, R. Bevilacqua, P. Favati, and F. Romani, Operator Theory: Advances and Applications 40, 447 (1989).
21. P. Rozsa, Colloquia Mathematica Societatis Janos Bolyai 50, 22 (1986).
22. P. Concus and G. Meurant, BIT 26, 493 (1986). 10.1007/BF01935055
23. S. Demko, W. F. Moss, and P. W. Smith, Math. Comput. 43, 491 (1984). 10.1090/S0025-5718-1984-0758197-9
24. P. Concus, G. H. Golub, and G. Meurant, SIAM J. Sci. Comput. 6, 220 (1985). 10.1137/0906018
25. M. Luisier and G. Klimeck, Phys. Rev. B 80, 155430 (2009). 10.1103/PhysRevB.80.155430
26. J. Jain, S. Cauley, H. Li, C.-K. Koh, and V. Balakrishnan, Purdue ECE. Technical Report 1358 (2007).
27. K.x Rim, S. Narasimha, M. Longstreet, A. Mocuta, and J. Cai, IEDM Tech. Dig.. 43 (2002).
28. M. Luisier, Appl. Phys. Lett. 98, 032111 (2011). 10.1063/1.3540689