Anisotropic Cu–O islands form striped periodic supergratings upon annealing an oxygen‐exposed Cu(110) surface. While the formation of these striped phases has been attributed to long‐range repulsive forces between stripes, we show using the one‐dimensional lattice gas model and Monte Carlo simulations that short range adsorbate–adsorbate interactions are capable of producing striped phases.

1.
B. T.
Werner
and
B. W.
Hallet
,
Nature
361
,
142
(
1993
).
2.
M. E.
Fisher
and
W.
Selke
,
Phys. Rev. Lett.
44
,
1502
(
1980
).
3.
S.
Tanisaki
,
J. Phys. Soc. Jpn.
16
,
579
(
1961
).
4.
A.
Yoshimori
,
J. Phys. Soc. Jpn.
14
,
807
(
1959
).
5.
K.
Kern
,
H.
Niehus
,
A.
Schatz
,
P.
Zeppenfeld
,
J.
Goerge
, and
G.
Comsa
,
Phys. Rev. Lett.
67
,
855
(
1991
).
6.
H.
Niehus
,
Appl. Phys. A
53
,
388
(
1991
).
7.
D. J.
Coulman
,
J.
Witterlin
,
R. J.
Behm
, and
G.
Ertl
,
Phys. Rev. Lett.
64
,
1761
(
1990
).
8.
F.
Jensen
,
F.
Besenbacher
,
E.
Lænsgaard
, and
I.
Stensgaard
,
Phys. Rev. B
41
,
10
233
(
1990
).
9.
Y.
Kuk
,
F. M.
Chua
,
P. J.
Silverman
, and
J. A.
Meyer
,
Phys. Rev. B
41
,
12
393
(
1990
).
10.
J.
Witterlin
,
R.
Schuster
,
D. J.
Coulman
,
G.
Ertl
, and
R. J.
Behm
,
J. Vac. Sci. Technol. B
9
,
902
(
1991
).
11.
M.
Taniguchi
,
K.
Tanaica
,
T.
Hashizume
, and
T.
Sakurai
,
Surf. Sci. Lett.
262
,
L123
(
1993
).
12.
I.
Stensgaard
,
F.
Besenbacher
,
F.
Jensen
,
E.
Lænsgaard
, and
L.
Ruan
,
Phys. Scr.
T39
,
314
(
1991
).
13.
D.
Vanderbilt
,
Surf. Sci. Lett.
268
,
L300
(
1992
).
14.
D. Vanderbilt, in Computations for the Nano-Scale, edited by P. E. Blöchl et al., (Kluwer Academic, Dordrecht, 1993), p. 1.
15.
D.
Vanderbilt
,
Bull. Am. Phys. Soc.
37
,
222
(
1992
).
16.
Zeppenfeld et al., have recently reported an approximate analytic treatment of surface stress effects on the formation of striped phases, but give no indication of the breadth of the distributions of island spacings expected for any given set of conditions (Ref. 17).
17.
P.
Zeppenfeld
,
M.
Krzyzowski
,
C.
Romainczyk
,
G.
Comsa
, and
M. G.
Lagally
,
Phys. Rev. Lett.
72
,
2737
(
1994
).
18.
See, for example,
W.
Selke
,
Phys. Rep.
170
,
213
(
1988
).
19.
M. E.
Fisher
and
D. S.
Fisher
,
Phys. Rev. B
25
,
3192
(
1982
).
20.
N. C.
Bartelt
,
T. L.
Einstein
, and
E. D.
Williams
,
Surf. Sci. Lett.
240
,
L591
(
1990
).
21.
N. C.
Bartelt
,
J. L.
Goldberg
,
T. L.
Einstein
, and
E. D.
Williams
,
Surf. Sci.
273
,
252
(
1992
).
22.
Note that unlike the experimental observations and the 2D Monte Carlo simulations, this simplification does not allow two strings to be spaced apart an odd number of lattice spacings greater than 1 in the 〈11¯0〉 direction.
23.
See, for example, T. L. Hill, An Introduction to Statistical Thermodynamics (Addison-Wesley, Reading, 1960).
24.
The canonical ensemble Monte Carlo method used is available through the IBM RISC/6000 Software Development Consortium, S. J. Stranick and P. S. Weiss, Program name, AD_STM_MC, 1993.
25.
I.
Stensgaard
,
L.
Ruan
,
F.
Besenbacher
,
F.
Jensen
, and
E.
Læinsgaard
,
Surf. Sci.
269
,
81
(
1992
).
26.
We have carried out other Monte Carlo simulations which allow the O adatoms and the Cu atoms to diffuse independently. These simulations result in the same equilibrium configurations as the results presented here. The main difference between the simulations was the increased amount of time required for the independent adatom/atom diffusion simulations to reach equilibrium.
27.
F.
Besenbacher
,
F.
Jensen
,
E.
Lænsgaard
,
K.
Mortensen
, and
I.
Stensgaard
,
J. Vac. Sci. Technol. B
9
,
874
(
1991
).
28.
L.
Fritsche
,
B.
Weimert
,
H.
Kranefeld
, and
J.
Noffke
,
Surf. Sci.
291
,
309
(
1993
).
29.
V. I.
Marchenko
,
JETP Lett.
55
,
73
(
1992
).
30.
We note that the electronic effects of adsorbates can extend over tens of Å, and these charge density modulations may also play a role in long range ordering on surfaces (Ref. 31).
31.
Y.
Hasegawa
and
Ph.
Avouris
,
Phys. Rev. Lett.
71
,
1071
(
1993
);
Ph.
Avouris
,
Acc. Chem. Res.
27
,
159
(
1994
);
P. S.
Weiss
and
D. M.
Eigler
,
Phys. Rev. Lett.
71
,
3139
(
1993
);
M. F.
Crommie
,
C. P.
Lutz
, and
D. M.
Eigler
,
Nature
363
,
524
(
1993
);
M. F.
Crommie
,
C. P.
Lutz
, and
D. M.
Eigler
,
Science
262
,
218
(
1993
);
M. M. Kamna, S. J. Stranick, and P. S. Weiss (to be published);
J. A.
Stroscio
,
R. M.
Feenstra
, and
A. P.
Fein
,
Phys. Rev. Lett.
58
,
1668
(
1987
);
T.
Hashizume
et al.,
J. Vac. Sci. Technol. A
8
,
233
(
1990
).
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