The grain boundary networks of tetragonal and orthorhombic superconductors are shown to be nonrandom through computer simulations of polycrystalline structures. For biaxially textured microstructures, the distribution of low-angle grain boundaries around triple junctions is measurably deviant from the expectations for a randomly constructed lattice. Percolation thresholds are calculated for the unhindered flow of superconducting current through a polycrystal, and are found to be significantly different from the standard random percolation threshold in two dimensions. These deviations are explained as a result of crystallographic constraints on the network topology.
REFERENCES
1.
2.
P.
Chaudhari
, J.
Mannhart
, D.
Dimos
, C. C.
Tsuei
, J.
Chi
, M. M.
Oprysko
, and M.
Scheuermann
, Phys. Rev. Lett.
60
, 1653
(1988
).3.
D.
Dimos
, P.
Chaudhari
, and J.
Mannhart
, Phys. Rev. B
41
, 4038
(1990
).4.
N. F.
Heinig
, R. D.
Redwing
, I. F.
Tsu
, A.
Gurevich
, J. E.
Nordman
, S. E.
Babcock
, and D. C.
Larbalestier
, Appl. Phys. Lett.
69
, 577
(1996
).5.
A. A.
Polyanskii
, A.
Gurevich
, A. E.
Pahitski
, N. F.
Heinig
, R. D.
Redwing
, J. E.
Nordman
, and D. C.
Larbalestier
, Phys. Rev. B
53
, 8687
(1996
).6.
A.
Goyal
, D. P.
Norton
, D. M.
Kroeger
, D. K.
Christen
, M.
Paranthaman
, E. D.
Specht
, J. D.
Budai
, Q.
He
, B.
Saffian
, F. A.
List
, D. F.
Lee
, E.
Hartfield
, P. M.
Martin
, C. E.
Klabunde
, J.
Mathis
, and C.
Park
, J. Mater. Res.
12
, 2924
(1997
).7.
D. M.
Feldmann
, J. L.
Reeves
, A. A.
Polyanskii
, G.
Kozlowski
, R. R.
Biggers
, R. M.
Nekkanti
, I.
Maartense
, M.
Tomsic
, P.
Barnes
, C. E.
Oberly
, T. L.
Peterson
, S. E.
Babcock
, and D. C.
Larbalestier
, Appl. Phys. Lett.
77
, 2906
(2000
).8.
E. D.
Specht
, A.
Goyal
, and D. M.
Kroeger
, Supercond. Sci. Technol.
13
, 592
(2000
).9.
B.
Holzapfel
, L.
Fernandez
, F.
Schindler
, B.
deBoer
, N.
Reger
, J.
Eickemeyer
, P.
Berberich
, and W.
Prusseit
, IEEE Trans. Appl. Supercond.
11
, 3872
(2001
).10.
G.
Hammerl
, A.
Herrnberger
, A.
Schmehl
, A.
Weber
, K.
Wiedenmann
, C. W.
Schneider
, and J.
Mannhart
, Appl. Phys. Lett.
81
, 3209
(2002
).11.
12.
J.
Mannhart
and C. C.
Tsuei
, Z. Phys. B: Condens. Matter
77
, 53
(1989
).13.
14.
A.
Goyal
, E. D.
Specht
, Z. L.
Wang
, and D. M.
Kroeger
, Ultramicroscopy
67
, 35
(1997
).15.
N. A.
Rutter
, B. A.
Glowacki
, and J. E.
Evetts
, Supercond. Sci. Technol.
13
, L25
(2000
).16.
17.
B.
Zeimetz
, N. A.
Rutter
, B. A.
Glowacki
, and J. E.
Evetts
, Supercond. Sci. Technol.
14
, 672
(2001
).18.
19.
B.
Zeimetz
, B. A.
Glowacki
, and J. E.
Evetts
, Eur. Phys. J. B
29
, 359
(2002
).20.
21.
22.
M.
Kumar
, W. E.
King
, and A. J.
Schwartz
, Acta Mater.
48
, 2081
(2000
).23.
R. W.
Minich
, C. A.
Schuh
, and M.
Kumar
, Phys. Rev. B
66
, 052
101
(2002
).24.
C. A.
Schuh
, R. W.
Minich
, and M.
Kumar
, Philos. Mag. A
83
, 711
(2003
).25.
J.
Mannhart
, R. P.
Huebener
, F.
Kober
, D.
Koelle
, P.
Chaudhari
, D.
Dimos
, R.
Gross
, A.
Gupta
, G.
Koren
, and C. C.
Tsuei
, Physica A
168
, 345
(1990
).26.
B.
Hensel
, G.
Grasso
, and R.
Flukiger
, Phys. Rev. B
51
, 15
456
(1995
).27.
H.-J. Bunge, Texture Analysis in Materials Science (Verlag, Gottingen, Germany, 1993).
28.
29.
K.
Miyazawa
, Y.
Iwasaki
, K.
Ito
, and Y.
Ishida
, Acta Crystallogr., Sect. A: Found. Crystallogr.
A52
, 787
(1996
).30.
31.
J. E.
Evetts
, M. J.
Hogg
, B. A.
Glowacki
, N. A.
Rutter
, and V. N.
Tsaneva
, Supercond. Sci. Technol.
12
, 1050
(1999
).32.
This content is only available via PDF.
© 2003 American Institute of Physics.
2003
American Institute of Physics
You do not currently have access to this content.
