The hydrodynamic instability of one-dimensional flow of electrons in an ungated semiconductor driven by a voltage difference is studied. The governing transport and electrostatic equations are linearized about the steady flow, and the eigenspectrum of perturbations is calculated. The carrier flow is found to be unstable under certain circumstances through oscillations that manifest themselves as planar waves. Higher voltages lead to greater rates of growths of the instability. The frequencies of oscillation are found to be of the order of terahertz, making the phenomenon suitable for consideration as a solid-state radiative source at this frequency range.

1.
W. B.
Colson
,
E. D.
Johnson
,
M. J.
Kelly
, and
A. H.
Schwettman
,
Phys. Today
55
(
1
),
35
(
2002
).
2.
G. L.
Carr
,
M. C.
Martin
,
W. R.
McKinney
,
K.
Jordan
,
G. R.
Neil
, and
G. P.
Williams
,
Nature (London)
420
,
153
(
2002
).
3.
R.
K”ohler
 et al,
Nature (London)
417
,
156
(
2002
).
4.
M. J. W.
Rodwell
 et al,
Int. J. High Speed Electron. Syst.
11
,
159
(
2001
).
5.
M.
Dyakonov
and
M. S.
Shur
,
Phys. Rev. Lett.
71
,
2465
(
1993
).
6.
M.
Dyakonov
and
M. S.
Shur
,
Phys. Rev. B
51
,
14341
(
1995
).
7.
A. P.
Dmitriev
,
A. S.
Furman
,
V. Yu.
Kachorovskii
,
G. G.
Samsonidze
, and
Ge. G.
Samsonidze
,
Phys. Rev. B
55
,
10319
(
1997
).
8.
M.
Dyakonov
and
M. S.
Shur
,
Appl. Phys. Lett.
87
,
111501
(
2005
).
9.
V.
Ryzhii
,
A.
Satou
, and
M. S.
Shur
,
Phys. Status Solidi A
202
,
R113
(
2005
).
10.
V. V.
Popov
,
O. V.
Polischuk
, and
M. S.
Shur
,
J. Appl. Phys.
98
,
033510
(
2005
).
11.
A.
Dmitriev
and
M. S.
Shur
,
Appl. Phys. Lett.
87
,
243514
(
2005
).
12.
W.
Knap
 et al,
Appl. Phys. Lett.
85
,
675
(
2004
).
13.
J.
Lusakowski
 et al,
Phys. Status Solidi A
202
,
656
(
2005
).
14.
N.
Pala
,
E.
Teppe
,
D.
Veksler
,
Y.
Deng
,
M. S.
Shur
, and
R.
Gaska
,
Electron. Lett.
41
,
447
449
(
2005
).
15.
F.
Teppe
,
D.
Veksler
,
V.
Kachorovskii
,
A.
Dmitriev
,
X.
Xie
,
X.-C.
Zhang
,
S.
Rumyantsev
,
W.
Knap
, and
M. S.
Shur
,
Appl. Phys. Lett.
87
,
022102
(
2005
).
16.
J.
Lusakowski
 et al,
J. Appl. Phys.
97
,
064307
(
2005
).
17.
N.
Dyakonova
 et al,
Appl. Phys. Lett.
88
,
141906
(
2006
).
18.
Y. Q.
Deng
,
R.
Kersting
,
V.
Roytburd
,
J. Z.
Xu
,
R.
Ascazubi
,
K.
Liu
,
X. C.
Zhang
, and
M. S.
Shur
,
Int. J. Infrared Millim. Waves
25
,
215
(
2004
).
19.
C.-L.
Tien
,
A.
Majumdar
, and
F. M.
Gerner
,
Microscale Energy Transport
(
Taylor and Francis
,
Washington, DC
,
1998
).
20.
R. M.
Corless
,
G. H.
Gonnet
,
D. E. G.
Hare
,
D. J.
Jeffrey
, and
D. E.
Knuth
,
Adv. Comput. Math.
5
,
329
(
1996
).
21.
R. M.
Corless
,
D. J.
Jeffrey
, and
D. E.
Knuth
,
Proceedings of ISSAC
,
1997
(unpublished), pp.
197
204
.
You do not currently have access to this content.