Two-dimensional electron gas systems patterned into micrometer Hall bars can be used as Hall magnetosensors. In this way, ballistic Hall probes have already been studied and used successfully. Here, the response function of a Hall sensor is determined in the diffusive regime, which allows this device to be used as a magnetosensor for the determination of inhomogeneous magnetic field distributions. Furthermore, the influence of the geometry of the Hall bar on this response function, such as circular corners and asymmetry in the probes, is also investigated and appears to be non-negligible.

1.
E. H.
Hall
,
Am. J. Math.
2
,
287
(
1879
).
2.
K.
von Klitzing
,
G.
Dorda
, and
M.
Pepper
,
Phys. Rev. Lett.
45
,
494
(
1980
).
3.
D. C.
Tsui
,
H. L.
Stormer
, and
A. C.
Gossard
,
Phys. Rev. Lett.
48
,
1559
(
1982
).
4.
S.
Wirth
and
S.
von Molnár
,
Appl. Phys. Lett.
76
,
3283
(
2000
).
5.
A.
Oral
,
S. J.
Bending
, and
M.
Henini
,
Appl. Phys. Lett.
69
,
1324
(
1996
).
6.
A. K.
Geim
,
I. V.
Grigorieva
, and
S. V.
Dubonos
,
Phys. Rev. B
46
,
324
(
1992
).
7.
S. T.
Stoddart
,
S. J.
Bending
,
A. K.
Geim
, and
M.
Henini
,
Phys. Rev. Lett.
71
,
3854
(
1993
).
8.
J.
de Boeck
and
G.
Borghs
,
Phys. World
12
,
27
(
1999
).
9.
M.
Johnson
,
B. R.
Bennett
,
M. J.
Yang
,
M. M.
Miller
, and
B. V.
Shanabrook
,
Appl. Phys. Lett.
71
,
974
(
1997
).
10.
F. G.
Monzon
,
M.
Johnson
, and
M. L.
Roukes
,
Appl. Phys. Lett.
71
,
3087
(
1997
).
11.
J.
Reijniers
and
F. M.
Peeters
,
Appl. Phys. Lett.
73
,
357
(
1998
).
12.
J.
Reijniers
and
F. M.
Peeters
,
J. Appl. Phys.
87
,
8088
(
2000
).
13.
A. K.
Geim
,
S. V.
Dubonos
,
J. G. S.
Lok
,
I. V.
Grigorieva
,
J. C.
Maan
,
L.
Theil Hansen
, and
P. E.
Lindelof
,
Appl. Phys. Lett.
71
,
2379
(
1997
).
14.
S. J.
Bending
and
A.
Oral
,
J. Appl. Phys.
81
,
3721
(
1997
).
15.
F. M.
Peeters
and
X. Q.
Li
,
Appl. Phys. Lett.
72
,
572
(
1998
).
16.
I. S.
Ibrahim
,
V. A.
Schweigert
, and
F. M.
Peeters
,
Phys. Rev. B
57
,
15416
(
1998
).
17.
S.
Liu
,
H.
Guillou
,
A. D.
Kent
,
G. W.
Stupian
, and
M. S.
Leung
,
J. Appl. Phys.
83
,
6161
(
1998
).
This content is only available via PDF.
You do not currently have access to this content.