TY - JOUR
T1 - Possible nonanalytic behavior of Ising models in random fields
AU - Schwartz, Moshe
AU - Shapir, Yonathan
AU - Aharony, Amnon
N1 - Funding Information:
This work was supported by a grant from the US-Israel Binational Science Foundation (BSF), Jerusalem. We are grateful to R.B. Griffiths for very useful comments on an earlier version of this paper.
PY - 1984/12/3
Y1 - 1984/12/3
N2 - The magnetization, M, of dilute Ising ferromagnets with quenched random fields is shown to have accumulation points of poles in each of these fields hi(at hi → 0) and in the external uniform field H (at H → -hi). This occurs for all temperatures for which the nonrandom (zero-field) system has H ≠ 0. If both hi and -hi are possible then M is probably nonanalyti c for many values of hi. This casts doubts on expansions in the random fields.
AB - The magnetization, M, of dilute Ising ferromagnets with quenched random fields is shown to have accumulation points of poles in each of these fields hi(at hi → 0) and in the external uniform field H (at H → -hi). This occurs for all temperatures for which the nonrandom (zero-field) system has H ≠ 0. If both hi and -hi are possible then M is probably nonanalyti c for many values of hi. This casts doubts on expansions in the random fields.
UR - http://www.scopus.com/inward/record.url?scp=48549108533&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(84)90317-7
DO - 10.1016/0375-9601(84)90317-7
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AN - SCOPUS:48549108533
SN - 0375-9601
VL - 106
SP - 191
EP - 194
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4
ER -