In this paper, we have used a capacitor model to reproduce the known analytical formulas of space charge limited current transport inside both trap-free and trap-filled solids in planar geometry. It is found that the approach is simple when compared to the traditional method as the latter involves solving second order differential equation. Exact analytical results can also be obtained for cylindrical diode with an outer radius much larger than the inner radius.
REFERENCES
1.
C. D.
Child
, Phys. Rev. Ser.
32
, 492
(1911
).2.
I.
Langmuir
, Phys. Rev.
2
, 450
(1913
).3.
J. W.
Luginsland
, Y. Y.
Lau
, and R. M.
Gilgenbach
, Phys. Rev. Lett.
77
, 4668
(1996
).4.
Y. Y.
Lau
, Phys. Rev. Lett.
87
, 278301
(2001
).5.
W. S.
Koh
, L. K.
Ang
, and T. J. T.
Kwan
, Phys. Plasmas
12
, 053107
(2005
).6.
Y. Y.
Lau
, D.
Chernin
, D. G.
Colombant
, and P.-T.
Ho
, Phys. Rev. Lett.
66
, 1446
(1991
).7.
L. K.
Ang
, T. J. T.
Kwan
, and Y. Y.
Lau
, Phys. Rev. Lett.
91
, 208303
(2003
).8.
L. K.
Ang
, T. J. T.
Kwan
, and Y. Y.
Lau
, IEEE Trans. Plasma Sci.
32
, 410
(2004
).9.
A.
Valfells
, D.
Feldman
, M.
Virgo
, P. G.
O’Shea
, and Y. Y.
Lau
, Phys. Plasmas
9
, 2377
(2002
).10.
L. K.
Ang
and P.
Zhang
, Phys. Rev. Lett.
98
, 164802
(2007
).11.
A.
Pedersen
, A.
Manolescu
, and A.
Valfells
, Phys. Rev. Lett.
104
, 175002
(2010
).12.
S. H.
Chen
, L. C.
Lai
, Y. L.
Liu
, D.
Feldman
, L. K.
Ang
, and W. S.
Koh
, Phys. Plasmas
18
, 023105
(2011
).13.
14.
P.
Mark
and W.
Helfrich
, J. Appl. Phys.
33
, 205
(1962
).15.
D.
Joung
, A.
Chunder
, L.
Zhai
, and S. I.
Khondaker
, Appl. Phys. Lett.
97
, 093105
(2011
).16.
F.
Torricelli
, D.
Zappa
, and L.
Colalongo
, Appl. Phys. Lett.
96
, 113304
(2010
).17.
A. A.
Talin
, F.
Leonard
, B. S.
Swartzentruber
, X.
Wang
, and S. D.
Hersee
, Phys. Rev. Lett.
101
, 076802
(2008
).18.
A.
Carbone
, B. K.
Kotowska
, and D.
Kotowski
, Phys. Rev. Lett.
95
, 236601
(2005
).19.
A.
Carbone
, C.
Pennetta
, and L.
Reggiani
, Appl. Phys. Lett.
95
, 233303
(2009
).20.
N. I.
Craciun
, J.
Wildeman
, and P. W. M.
Blom
, Phys. Rev. Lett.
100
, 056601
(2008
).21.
T.
Matsushima
and H.
Murataa
, Appl. Phys. Lett.
95
, 203306
(2009
).22.
Y. C.
Chao
, H. F.
Menga
, and S. F.
Horng
, Appl. Phys. Lett.
88
, 223510
(2006
).23.
Y.
Gu
and L. J.
Lauthon
, Appl. Phys. Lett.
89
, 143102
(2006
).24.
F. L.
Bloom
, M.
Kemerink
, W.
Wagemans
, and B.
Koopmans
, Phys. Rev. Lett.
103
, 066601
(2009
).25.
S.
Miyanishi
, M.
Yagura
, N.
Teraguchi
, K.
Shirakawa
, K.
Sakuno
, Y.
Murakami
, K.
Kojima
, A.
Takahashi
, and K.
Ohta
, Appl. Phys. Lett.
91
, 192104
(2007
).26.
V. D.
Mihailetchi
, J.
Wildeman
, and P. W. M.
Blom
, Phys. Rev. Lett.
94
, 126602
(2005
).27.
A.
Tsormpatzoglou
, D. H.
Tassis
, C. A.
Dimitriadis
, L.
Dzsa
, N. G.
Galkin
, D. L.
Goroshko
, V. O.
Polyarnyi
, and E. A.
Chusovitin
, J. Appl. Phys.
100
, 074313
(2006
).28.
W.
Chandra
, L. K.
Ang
, K. L.
Pey
, and C. M.
Ng
, Appl. Phys. Lett.
90
, 153505
(2007
).29.
W.
Chandra
and L. K.
Ang
, Appl. Phys. Lett.
96
, 183501
(2010
).30.
R. J.
Umstattd
, C. G.
Carr
, C. L.
Frenzen
, J. W.
Luginsland
, and Y. Y.
Lau
, Am. J. Phys.
73
, 160
(2005
).31.
Y. B.
Zhu
and L. K.
Ang
, Appl. Phys. Lett.
98
, 051502
(2011
).32.
M. A.
Lampert
, A.
Many
, and P.
Mark
, Phys. Rev.
135
, A1444
(1964
).33.
V.
Rodriguez
and M. A.
Nicolet
, Z. Angew. Math. Phys.
18
, 273
(1967
).34.
R. P.
Dahiya
and V. K.
Mathur
, J. Appl. Phys.
47
, 3240
(1976
).© 2011 American Institute of Physics.
2011
American Institute of Physics
You do not currently have access to this content.