TY - JOUR
T1 - Absence of ferromagnetic long range order in random isotropic dipolar magnets and in similar systems
AU - Aharony, A.
N1 - Funding Information:
* Supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.
PY - 1978/11
Y1 - 1978/11
N2 - It is shown that random off-diagonal exchange interaction coefficients destroy ferromagnetic long range order in isotropic systems with less than four spatial dimensions. A special case is that of random isotropic systems with dipole-dipole interactions. The proof breaks down when (cubic or hexagonal) symmetry breaking terms are introduced. However, in some cases such terms turn the transition into the ferromagnetic phase first order, with a possible spin glass phase above it.
AB - It is shown that random off-diagonal exchange interaction coefficients destroy ferromagnetic long range order in isotropic systems with less than four spatial dimensions. A special case is that of random isotropic systems with dipole-dipole interactions. The proof breaks down when (cubic or hexagonal) symmetry breaking terms are introduced. However, in some cases such terms turn the transition into the ferromagnetic phase first order, with a possible spin glass phase above it.
UR - http://www.scopus.com/inward/record.url?scp=0018039552&partnerID=8YFLogxK
U2 - 10.1016/0038-1098(78)90604-X
DO - 10.1016/0038-1098(78)90604-X
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AN - SCOPUS:0018039552
SN - 0038-1098
VL - 28
SP - 667
EP - 670
JO - Solid State Communications
JF - Solid State Communications
IS - 8
ER -