Quick Search:
Prog. Theor. Phys. Vol. 66 No. 5 (1981) pp. 1561-1573
Ising Replicated System of ±J Model
Yasuhiro Kasai,
Ayao Okiji and
Itiro Syozi
Department of Applied Physics, Osaka University, Suita, Osaka 565
(Received April 30, 1981)
Abstract:
The n-replicated system described by the Ising spin with the random exchange interactions ±J is separated into two sub-systems, namely, the spin-dependent part and the spin-independent part. It is pointed out that although for n<1 the entropy and specific heat contributed from the spin-dependent part are negative, those of the whole system are always positive. It is shown that from the spin-dependent part the Mattis type phase essentially described by an asymptotic Potts model appears at finite n and vanished for n →0 (the quenched limit).
URL :
http://ptp.ipap.jp/link?PTP/66/1561/
DOI : 10.1143/PTP.66.1561
References:
-
S. F. Edwards and P. W. Anderson, J. of Phys. F 5 (1975), 965[IoP STACKS].
-
D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35 (1975), 1792[APS].
- D. J. Thouless, P. W. Anderson and R. G. Palmer, Phil. Mag. 35 (1975), 593.
-
J. H. Chen and T. C. Lubensky, Phys. Rev. B 16 (1977), 2106[APS].
-
M. J. Stephen and G. S. Grest, Phys. Rev. Lett. 38 (1977), 567[APS].
- M. Suzuki, Prog. Theor. Phys. 58 (1977), 1151[PTP].
-
E. Domany, J. of Phys. C 11 (1978), L337[IoP STACKS].
-
A. Aharony, J. of Phys. C 11 (1978), L457[IoP STACKS].
-
M. R. Giri and M. J. Stephen, J. of Phys. C 11 (1978), L541[IoP STACKS].
-
C. De Dominicis and M. J. Stephen, J. of Phys. C 11 (1978), L969[IoP STACKS].
-
H. Nishimori, J. of Phys. C 12 (1979), L64[IoP STACKS];
ibid. 12 (1979), L905[IoP STACKS].
-
E. Domany, J. of Phys. C 12 (1979), L119[IoP STACKS].
-
A. Aharony and P. Pfeuty, J. of Phys. C 12 (1979), L125[IoP STACKS].
- Y. Kasai and T. Takano, Prog. Theor. Phys. 62 (1979), 566[PTP].
- K. Binder, W. Kinzel, S. Sarbach and D. Stauffer, Farady Discussion 69 (1980), 261.
-
S. Sarbach, J. of Phys. C 13 (1980), 5033[IoP STACKS];
ibid. 13 (1980), 5059[IoP STACKS].
- S. Nambu and S. Naya, Prog. Theor. Phys. 63 (1980), 1098[PTP].
S. Nambu, Prog. Theor. Phys. 63 (1980), 1474[PTP].
- Y. Kasai, T. Takano and I. Syozi, Prog. Theor. Phys. 63 (1980), 1917[PTP].
- Y. Kasai, A. Okiji and I. Syozi, Prog. Theor. Phys. 65 (1981), 140[PTP].
- Y. Kasai, A. Okiji and I. Syozi, Prog. Theor. Phys. 65 (1981), 1439[PTP].
- G. Toulouse, Commun. Phys. 2 (1977), 115.
-
D. C. Mattis, Phys. Lett. A 56 (1976), 421[CrossRef].
-
D. C. Rapaport, J. of Phys. C 10 (1977), L543[IoP STACKS].
-
A. J. Bray, M. A. Moore and P. Reed, J. of Phys. C 11 (1978), 1187[IoP STACKS].
- C. D. Dominicis, “Systems with Quenched Random Impurities” in Lecture Note in Physics, ed. C. P. Enz (Springer Verlag, Berlin 1979), vol. 104, p. 252.
- F. Matsubara and M. Sakata, Prog. Theor. Phys. 55 (1976), 672[PTP].
- S. Katsura, Prog. Theor. Phys. 55 (1976), 1049[PTP].
-
Y. Ueno and T. Oguchi, J. Phys. Soc. Jpn. 40 (1976), 1513[JPSJ].
-
S. Katsura, S. Inawashiro and S. Fujiki, Physica A 99 (1979), 193[CrossRef].
- K. Honda and H. Nakano, Prog. Theor. Phys. 65 (1981), 83[PTP]; ibid. 65 (1981), 95[PTP].
- R. B. Potts, Proc. Cambridge Phil. Soc. 48 (1952), 106.
-
D. Kim and R. I. Joseph, J. of Phys. C 7 (1974), L167[IoP STACKS].
-
F. Y. Wu, J. of Phys. C 12 (1979), L645[IoP STACKS].
-
M. P. M. den Nijs, J. of Phys. A 12 (1979), 1857[CrossRef].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 20-31
:
-
Hidden Mattis Phase in Annealed System
-
Yasuhiro Kasai and Ayao Okiji
-
Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1076-1086
:
-
Percolation Problem of Frozen-Bonds in Quenched ±J Ising Spin System
-
Yasuhiro Kasai and Ayao Okiji
-
Progress of Theoretical Physics Vol. 88 No. 2 (1992) pp. 219-227
:
-
Response of Fully-Frustrated Ising Square Lattice to a Type of Symmetry Breaking Field
-
Yasuhiro Kasai and Kohzaburo Ohnaka
