Quasi‐1‐D magnetic systems with on the one hand an Ising‐Heisenberg type spin anisotropy and on the other hand an alternating (dimerized) character have many interesting features in common and a few interesting differences in their phase behavior and general magnetic properties. This report reviews results rather scattered in the literature in addition to presenting new results. These rather complex quantum models present a theoretical challenge. It is also hoped that this work will be helpful to magnetochemists interested in identifying the underlying magnetic character of their systems, and to experimentalists in general.

1.
I. S.
Jacobs
et al.,
Phys. Rev. B
14
,
3036
(
1976
).
2.
J.
des Cloizeaux
and
M.
Gaudin
,
J. Math. Phys.
7
,
1384
(
1966
).
For corrected excitations, see e.g.
J. D.
Johnson
and
B. M.
McCoy
,
Phys. Rev. A
6
,
1613
(
1972
).
3.
E.
Lieb
,
T.
Schultz
, and
D.
Mattis
,
Ann. Phys.
16
,
407
(
1961
):
S.
Katsura
,
Phys. Rev.
127
,
1508
(
1962
).
4.
J. Y.
Dubois
and
J. P.
Carton
,
J. Phys. (Paris)
35
,
371
(
1974
):
J. H. H.
Perk
et al.,
Physica
81A
,
319
(
1975
).
5.
J. C.
Bonner
,
H. W. J.
Blöte
, and
J. D.
Johnson
,
J. Phys. (Paris)
39
,
C6
710
(
1978
).
6.
J. N.
Fields
,
Phys. Rev. B
19
,
2637
(
1979
).
7.
See
J. D.
Johnson
,
Phys. Rev. A
9
,
1743
(
1974
).
8.
J. C. Bonner and H. W. J. Blöte, unpublished work.
9.
M. C.
Cross
and
D. S.
Fisher
,
Phys. Rev. B
19
,
402
(
1979
).
10.
J. N.
Fields
,
J. C.
Bonner
, and
H. W. J.
Blöte
,
J. Appl. Phys.
50
,
1807
(
1979
):
H. W. J. Blöte, J. C. Bonner, and J. N. Fields, paper to be presented at ICM ′79 Munich.
11.
J. C.
Bonner
and
M. E.
Fisher
,
Phys. Rev.
135
,
A640
(
1964
).
12.
W.
Duffy
, Jr.
and
K. P.
Barr
,
Phys. Rev.
165
,
647
(
1967
).
13.
J. C.
Bonner
,
H. W. J.
Blöte
,
J. W.
Bray
, and
I. S.
Jacobs
,
J. Appl. Phys.
50
,
1810
(
1979
).
14.
J. J. Smit, L. J. de Jongh, J. A. C. van Ooijen, J. Reedijk, and J. C. Bonner, Physica (in press).
15.
C. N.
Yang
and
C. P.
Yang
,
Phys. Rev.
151
,
258
(
1966
).
16.
A. B.
Harris
,
Phys. Rev.
157
,
295
(
1967
).
17.
K. M.
Diederix
,
H. W. J.
Blöte
,
J. P.
Groen
,
T. O.
Klaasen
, and
N. J.
Poulis
,
Phys. Rev. B
19
,
420
(
1979
).
18.
J. C. Bonner et al., Proc. 12th Int. Conf. on Low Temp. Phys., Kyoto, Japan, p. 691 (1970).
19.
J. N. Fields, private communication.
20.
J. C.
Bonner
and
J. D.
Johnson
,
Physica
86‐88B
,
653
(
1977
).
This content is only available via PDF.
You do not currently have access to this content.