Infinite Susceptibility Phase in Random Uniaxial Anisotropy Magnets

Aharony, Ammon; Pytte, E.

doi:10.1103/physrevlett.45.1583.2

Cited by 40 publications

(69 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effects of random magnetic anisotropy relevant to the properties of amorphous and sintered ferromagnets have been shown to resemble those of a random field. 3,8,9 It was demonstrated that random fields grow naturally out of magnetic anisotropy in disordered antiferromagnets. 10 Early results on magnets and superconductors with quenched randomness have been summarized in Refs.…”

Section: Introductionmentioning

confidence: 99%

Random fieldxymodel in three dimensions

2013

View full text Add to dashboard Cite

We study random-field xy spin model at T = 0 numerically on lattices of up to 1000 × 1000 × 1000 spins with the accent on the weak random field. Our numerical method is physically equivalent to slow cooling in which the system is gradually losing the energy and relaxing to an energy minimum. The system shows glass properties, the resulting spin states depending strongly on the initial conditions. Random initial condition for the spins leads to the vortex glass (VG) state with short-range spin-spin correlations defined by the average distance between vortex lines. Collinear and some other vortex-free initial conditions result in the vortex-free ferromagnetic (F) states that have a lower energy. The energy difference between the F and VG states correlates with vorticity of the VG state. Correlation functions in the F states agree with the Larkin-Imry-Ma theory at short distances. Hysteresis curves for weak random field are dominated by topologically stable spin walls raptured by vortex loops. We find no relaxation paths from the F, VG, or any other states to the hypothetical vortex-free state with zero magnetization.

show abstract

Section: Introductionmentioning

confidence: 99%

Random fieldxymodel in three dimensions

2013

View full text Add to dashboard Cite

show abstract

“…Earlier analysis of Arrott plots, which show the field dependence of the magnetization, suggested that the susceptibility does diverge at low applied fields. 67 Later it become clear that in strongly disordered amorphous magnets the zero-field susceptibility is actually finite (e.g. Ref.…”

Section: Amorphous Magnetsmentioning

confidence: 99%

Quasi-Long Range Order in Glass States of Impure Liquid Crystals, Magnets, and Superconductors

Feldman

2001

Int. J. Mod. Phys. B

View full text Add to dashboard Cite

We consider glass states of several disordered systems: vortices in impure superconductors, amorphous magnets, and nematic liquid crystals in random porous media. All these systems can be described by the random-field or random-anisotropy O(N ) model. Even arbitrarily weak disorder destroys long range order in the O(N ) model. We demonstrate that at weak disorder and low temperatures quasi-long range order emerges. In quasilong-range-ordered phases the correlation length is infinite and correlation functions obey power dependencies on the distance. In pure systems quasi-long range order is possible only in the lower critical dimension and only in the case of Abelian symmetry. In the presence of disorder this type of ordering turns out to be more common. It exists in a range of dimensions and is not prohibited by non-Abelian symmetries.

show abstract

“…However the question concerning the nature of lowtemperature phase in RAM is not completely clear up to now. Among the possible low-temperature phases there are discussed ferromagnetic ordering [5,6], spin-glass phase [6,7], quasi long-range ordering [14].…”

Section: Introductionmentioning

confidence: 99%

On the Critical Behaviour of Random Anisotropy Magnets

Dudka¹,

Folk²,

Holovatch³

2001

Condens. Matter Phys.

View full text Add to dashboard Cite

The effect of a local anisotropy of random orientation on a ferromagnetic phase transition is studied. To this end, a model of a random anisotropy magnet is analysed by means of a field theoretical renormalization group approach. The one-loop result of Aharony about the absence of a 2nd order phase transition for isotropic distribution of random anisotropy axis at space dimension d < 4 is corroborated.

show abstract

Infinite Susceptibility Phase in Random Uniaxial Anisotropy Magnets

Cited by 40 publications

References 0 publications

Random fieldxymodel in three dimensions

Random fieldxymodel in three dimensions

Quasi-Long Range Order in Glass States of Impure Liquid Crystals, Magnets, and Superconductors

On the Critical Behaviour of Random Anisotropy Magnets

Contact Info

Product

Resources

About