TY - JOUR

T1 - Absence of long-range order in systems with random p-fold anisotropies

AU - Aharony, A.

PY - 1981

Y1 - 1981

N2 - A random p-fold anisotropy, of the form (n.S)p (where S is the m-component spin vector, m>1, and n is a unit vector with random directions), is shown to destroy long-range magnetic order for any value of p and dimensionalities d<4. For p>or=3, this happens in spite of the stability of the non-random fixed point. The ferromagnetic phase is replaced, in these cases, by a phase with algebraically decaying correlations and an infinite zero-field susceptibility.

AB - A random p-fold anisotropy, of the form (n.S)p (where S is the m-component spin vector, m>1, and n is a unit vector with random directions), is shown to destroy long-range magnetic order for any value of p and dimensionalities d<4. For p>or=3, this happens in spite of the stability of the non-random fixed point. The ferromagnetic phase is replaced, in these cases, by a phase with algebraically decaying correlations and an infinite zero-field susceptibility.

UR - http://www.scopus.com/inward/record.url?scp=36149043848&partnerID=8YFLogxK

U2 - 10.1088/0022-3719/14/27/007

DO - 10.1088/0022-3719/14/27/007

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AN - SCOPUS:36149043848

SN - 0022-3719

VL - 14

SP - L841-L843

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 27

M1 - 007

ER -