Energy eigenvalues and energy shifts are calculated for triangular and arrowhead-shaped GaAs/Ga0.6Al0.4As quantum wires taking into account the finite value of the barrier potential. Calculations were made by using the eigenfunctions of an infinite-barrier right-angled isosceles triangular wire. Calculated values are compared with available experimental results. An equivalence relation is also examined for the estimation of eigenvalues of triangular and arrowhead-shaped quantum wires by knowing the values for rectangular wires.

1.
H.
Temkin
,
G. J.
Dolan
,
M. B.
Panish
, and
S. N. G.
Chu
,
Appl. Phys. Lett.
50
,
413
(
1987
).
2.
Y.
Arakawa
,
Solid-State Electron
37
,
523
(
1994
).
3.
F. E.
Prins
,
G.
Lehr
,
M.
Burkard
,
H.
Schweizer
,
M. H.
Pilkuhn
, and
G. W.
Smith
,
Appl. Phys. Lett.
62
,
1365
(
1993
).
4.
H.
Sakaki
,
K.
Wagatsuma
,
J.
Hamasaki
, and
S.
Saito
,
Thin Solid Films
36
,
497
(
1976
).
5.
H.
Sakaki
,
Jpn. J. Appl. Phys.
19
,
L735
(
1980
).
6.
H.
Sakaki
,
Surf. Sci.
267
,
623
(
1992
).
7.
M.
Notomi
,
M.
Naganuma
,
T.
Nishida
,
T.
Tamamura
,
H.
Iwamura
,
S.
Nojima
, and
M.
Okamoto
,
Appl. Phys. Lett.
58
,
720
(
1991
).
8.
P.
Ils
,
M.
Michel
,
A.
Forchel
,
I.
Gyuro
,
M.
Klenk
, and
E.
Zielinski
,
Appl. Phys. Lett.
64
,
496
(
1994
).
9.
Eli Kapon, Quantum Well Lasers, edited by P. S. Zory (Academic, New York, 1993), p. 461.
10.
S.
Tsukamoto
,
Y.
Nagamune
,
M.
Nishioka
, and
Y.
Arakawa
,
Appl. Phys. Lett.
62
,
49
(
1993
).
11.
T.
Inoshita
and
H.
Sakaki
,
J. Appl. Phys.
79
,
269
(
1996
).
12.
D.
Gershoni
,
H.
Temkin
,
G. J.
Dolan
,
J.
Dunsmuir
,
S. N. G.
Chu
, and
M. B.
Panish
,
Appl. Phys. Lett.
53
,
995
(
1988
).
13.
S.
Gangopadhyay
and
B. R.
Nag
,
Phys. Status Solidi B
195
,
123
(
1996
).
14.
S.
Gangopadhyay
and
B. R.
Nag
,
Nanotechnology
8
,
14
(
1997
).
15.
G. T.
Einevoll
,
P. C.
Hemmer
, and
J.
Thomson
,
Phys. Rev. B
42
,
3485
(
1990
).
16.
D. J.
Ben Daniel
and
C. B.
Duke
,
Phys. Rev.
152
,
683
(
1966
).
17.
G.
Bastard
,
Phys. Rev. B
24
,
5693
(
1981
).
18.
C. C. Johnson, Field and Wave Electrodynamics (McGraw-Hill, New York, 1965), p. 136.
19.
J.
Shertzer
and
L. R.
Ram-Mohan
,
Phys. Rev. B
41
,
9994
(
1990
).
This content is only available via PDF.
You do not currently have access to this content.