In this paper, we present a theory of electron mobility in nanowire metal-oxide-semiconductor field-effect transistors (MOSFETs). Numerical approach consists of the Kubo-Greenwood formula and the self-consistent solution of the Schrödinger and Poisson equations for cylindrical gated nanowires. Phonons and surface roughness scatterings are treated in accordance with literature. Moreover, this paper focuses on nanowire MOSFETs using a high-k/metal gate stack. This configuration is chosen to be as close as possible to experimental investigations. The impact of trapped charges in the oxide, called remote Coulomb scattering, is modeled following the Kubo-Greenwood approach and accounting for screening effect. A comparison with experiment is performed for a single cylindrical nanowire with diameter of 20 nm. The diameter dependence is highlighted and it is shown that silicon thickness has a great impact on the mobility for diameters below 10 nm.

1.
J. P.
Colinge
,
Solid-State Electron.
48
,
897
(
2004
).
2.
International Technology Roadmap for Semiconductors 2009 Report (Semiconductor Industry Association,
2009
), see http://public.itrs.net/.
3.
C.
Dupre
,
A.
Hubert
,
S.
Becu
,
M.
Jublot
,
V.
Maffim-Alvaro
, and
C.
Vizioz
,
IEDM Tech. Dig.
2008
,
749
752
.
4.
K. H.
Cho
,
S. D.
Suk
,
Y. Y.
Yeoh
,
M.
Li
,
K. H.
Yeo
,
D. W.
Kim
,
D.
Park
,
W. S.
Lee
,
Y. C.
Jung
,
B. H.
Hong
, and
S. W.
Hwang
,
IEEE Electron Device Lett.
28
,
1129
(
2007
).
5.
S. D.
Suk
,
S. Y.
Lee
,
S. M.
Kim
,
E. J.
Yoon
, and
M. S.
Kim
,
IEDM Tech. Dig.
2007
,
891
894
.
6.
K.
Tachi
,
M.
Casse
,
D.
Jang
,
C.
Dupre
,
A.
Hubert
,
N.
Vulliet
,
V.
Maffini-Alvaro
,
C.
Vizioz
,
C.
Carabasse
,
V.
Delaye
,
J. M.
Hartmann
,
G.
Ghibaudo
,
H.
Iwai
,
S.
Cristoloveanu
,
O.
Faynot
, and
T.
Ernst
,
IEDM Tech. Dig.
2009
,
313
316
.
7.
8.
A.
Gold
and
A.
Ghazali
,
Phys. Rev. B
41
,
7626
(
1990
).
9.
B.
Tanatar
and
A.
Gold
,
Phys. Rev. B
52
,
1996
(
1995
).
10.
M.
Tsetseri
and
G. P.
Triberis
,
Phys. Rev. B
69
,
75313
(
2004
).
11.
R.
Kotlyar
,
B.
Obradovic
,
P.
Matagne
,
M.
Stettler
, and
M. D.
Giles
,
Appl. Phys. Lett.
84
,
5270
(
2004
).
12.
E. B.
Ramayya
,
D.
Vasileska
,
S. M.
Goodnick
, and
I.
Knezevic
,
IEEE Trans. Nanotechnol.
6
,
113
(
2007
).
13.
S.
Jin
,
Y. J.
Park
, and
H. S.
Min
,
J. Appl. Phys.
99
,
123719
(
2006
).
14.
S.
Jin
,
M. V.
Fischetti
, and
T. W.
Tang
,
J. Appl. Phys.
102
,
083715
(
2007
).
15.
S.
Poli
,
M. G.
Pala
,
T.
Poiroux
,
S.
Deleonibus
, and
G.
Baccarani
,
IEEE Trans. Electron Devices
55
,
2968
(
2008
).
16.
K.
Rogdakis
,
S.
Poli
,
E.
Bano
,
K.
Zekentes
, and
M. G.
Pala
,
Nanotechnology
20
,
295202
(
2009
).
17.
M. G.
Pala
,
C.
Burran
,
S.
Poli
, and
M.
Mouis
,
J. Comput. Electron.
8
,
374
(
2009
).
18.
N. D.
Akhavan
,
A.
Afzalian
,
A.
Kranti
,
I.
Ferain
,
C. W.
Lee
,
R.
Yan
,
P.
Razavi
,
R.
Yu
, and
J. P.
Colinge
,
IEEE Trans. Electron Devices
58
,
1029
(
2011
).
19.
S.
Barraud
,
J. Appl. Phys.
106
,
063714
(
2009
).
20.
W.
Zhang
,
C.
Delerue
,
Y. M.
Niquet
,
G.
Allan
, and
E.
Wang
,
Phys. Rev. B
82
,
115319
(
2010
).
21.
J.
Wang
,
E.
Polizzi
,
A.
Ghosh
,
S.
Datta
, and
M.
Lundstrom
,
Appl. Phys. Lett.
87
,
43101
(
2005
).
22.
M.
Luisier
,
Appl. Phys. Lett.
98
,
032111
(
2011
).
23.
M. P.
Persson
,
A.
Lherbier
,
Y. M.
Niquet
,
F.
Triozon
, and
S.
Roche
,
Nano Lett.
8
,
4145
(
2008
).
24.
G. D.
Wilk
,
R. M.
Wallace
, and
J. M.
Anthony
,
J. Appl. Phys.
89
,
5243
(
2001
).
25.
M. M. A.
Hakin
and
A.
Haque
,
J. Appl. Phys.
94
,
2046
(
2003
).
26.
Z. J.
Luo
,
X.
Guo
,
T. P.
Ma
, and
T.
Tamagawa
,
Appl. Phys. Lett.
79
,
2803
(
2001
).
27.
M.
Silinska
,
M.
Lisker
,
S.
Matchyn
, and
E. P.
Burte
,
ECS Trans.
2
,
79
(
2007
).
28.
A.
Dimoulas
,
G.
Velliantis
,
A.
Travlos
,
V.
Ioannou-Sougleridis
, and
A. G.
Nassiopoulou
,
J. Appl. Phys.
92
,
426
(
2000
).
29.
G. D.
Wilk
,
R. M.
Wallace
, and
J. M.
Anthony
,
J. Appl. Phys.
87
,
484
(
2000
).
30.
A.
Callegari
,
E.
Cartier
,
M.
Gribelyuk
,
H. F.
Okorn-Schmidt
, and
T.
Zabel
,
J. Appl. Phys.
90
,
6466
(
2001
).
31.
G.
Bersuker
,
C. S.
Park
,
J.
Barnett
,
P. S.
Lysaght
,
C. D.
Young
,
R.
Choi
,
B. H.
Lee
,
B.
Foran
,
K.
Van Benthem
,
S. J.
Pennycook
,
P. M.
Lenahan
, and
T.
Ryan
,
J. Appl. Phys.
100
,
094108
(
2006
).
32.
M.
Cassé
,
L.
Thevenod
,
B.
Guillaumot
,
L.
Tosti
,
F.
Martin
,
J.
Mitard
,
O.
Weber
,
F.
Andrieu
,
T.
Ernst
,
G.
Reimbold
,
T.
Billon
,
M.
Mouis
, and
F.
Boulanger
,
IEEE Trans. Electron Devices
50
,
1665
(
2006
).
33.
S.
Takagi
and
M.
Takayanagi
,
Jpn. J. Appl. Phys.
Part 1
41
,
2348
(
2002
).
34.
F.
Gamiz
,
A.
Godoy
,
J. B.
Roldan
,
J. E.
Carceller
, and
P.
Cartujo
,
Semicond. Sci. Technol.
18
,
927
(
2003
).
35.
D.
Esseni
and
A.
Abramo
,
IEEE Trans. Electron Devices
50
,
2445
(
2003
).
36.
N.
Yang
,
W. K.
Henson
,
J. R.
Hauser
, and
J. J.
Wortman
,
IEEE Trans. Electron Devices
47
,
440
(
2000
).
37.
M. V.
Fischetti
,
J. Appl. Phys.
89
,
1232
(
2001
).
38.
T.
Ishihara
,
J.
Koga
,
K.
Matsuzawa
, and
S. I.
Takagi
,
J. Appl. Phys.
102
,
073702
(
2007
).
39.
S.
Barraud
,
O.
Bonno
, and
M.
Cassé
,
J. Appl. Phys.
104
,
073725
(
2008
).
40.
E.
Gnani
,
S.
Reggiani
,
A.
Gnudi
,
P.
Parruccini
,
R.
Colle
,
M.
Rudan
, and
G.
Baccarani
,
IEEE Trans. Electron Devices
54
,
2243
(
2007
).
41.
A.
Paussa
,
F.
Conzatti
,
D.
Breda
,
R.
Vermiglio
,
D.
Esseni
, and
P.
Palestri
,
IEEE Trans. Electron Devices
57
,
3239
(
2010
).
42.
Y. M.
Niquet
,
C.
Delerue
,
G.
Allan
, and
M.
Lannoo
,
Phys. Rev. B
62
,
5109
(
2000
)
43.
E.
Sarrazin
,
S.
Barraud
,
F.
Triozon
, and
A.
Bournel
, in
Proceedings of International Conference on Simulation of Semiconductor Processes and Devices (SISPAD)
(
IEEE
,
2008
), No. 5, p.
349
.
44.
J.
Dura
,
S.
Martinie
,
D.
Munteanu
,
F.
Triozon
,
S.
Barraud
,
Y. M.
Niquet
, and
J. L.
Autran
, “
Nanowires: The promising candidates for electrostatic control in future nanoelectronic devices,” Intech Book
(in press). Available at DOI: .
45.
D.
Munteanu
and
J. L.
Autran
,
Solid-State Electron.
47
,
1219
(
2003
).
46.
M.
Zervos
and
L. F.
Feiner
,
J. Appl. Phys.
95
,
281
(
2004
).
47.
R.
Kubo
,
J. Phys. Soc. Jpn.
12
,
570
(
1957
).
48.
D. A.
Greenwood
,
Proc. Phys. Soc. London
71
,
585
(
1958
).
49.
M. S.
Lundstrom
,
Fundamentals of Carrier Transport
(
Addison-Wesley
,
New York
,
1990
).
50.
D.
Esseni
,
P.
Palestri
, and
L.
Selmi
,
Nanoscale MOS transistors: Semi-classical transport and application
(
Cambridge University Press
,
Cambridge, UK
,
2011
).
51.
S. M.
Goodnick
,
D. K.
Ferry
,
C. W.
Wilmsen
,
Z.
Liliental
,
D.
Fathy
, and
O. L.
Krivanek
,
Phys. Rev. B
32
,
8171
(
1985
).
52.
C.
Jacoboni
and
L.
Reggiani
,
Rev. Mod. Phys.
55
,
645
(
2003
).
53.
M.
Cassé
,
K.
Tachi
,
S.
Thiele
, and
T.
Ernst
,
Appl. Phys. Lett.
96
,
123506
(
2010
).
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