Nonperturbative renormalization-group approach to frustrated magnets

@article{Delamotte2004NonperturbativeRA,
  title={Nonperturbative renormalization-group approach to frustrated magnets},
  author={Bertrand Delamotte and D. Mouhanna and Matthieu Tissier},
  journal={Physical Review B},
  year={2004},
  volume={69},
  pages={134413}
}
This article is devoted to the study of the critical properties of classical XY and Heisenberg frustrated magnets in three dimensions. We first analyze the experimental and numerical situations. We show that the unusual behaviors encountered in these systems, typically nonuniversal scaling, are hardly compatible with the hypothesis of a second order phase transition. Moreover, the fact that the scaling laws are significantly violated and that the anomalous dimension is negative in many cases… 

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References

SHOWING 1-10 OF 191 REFERENCES

Phase transitions in fully frustrated spin systems.

The phase structure and critical behavior of fully frustrated systems are studied, and a Landau-Ginzburg Hamiltonian is derived for the general case, assuming that both the (continuous) O(n) symmetry and some discrete symmetry are broken in the low-temperature phase.

Frustrated heisenberg magnets: A nonperturbative approach

A nonperturbative Wilson-like approach is used to get a coherent picture of the physics of frustrated Heisenberg magnets everywhere between d = 2 and d = 4 and recovers all known perturbative results in a single framework.

First and second order transition of frustrated Heisenberg spin systems

Abstract:Starting from the hypothesis of a second order transition we have studied modifications of the original Heisenberg antiferromagnet on a stacked triangular lattice (STA-model) by the Monte

XY frustrated systems: Continuous exponents in discontinuous phase transitions

XY frustrated magnets exhibit an unsual critical behavior: they display scaling laws accompanied by nonuniversal critical exponents and a negative anomalous dimension. This suggests that they undergo

Critical behavior of frustrated spin models with noncollinear order

We study the critical behavior of frustrated spin models with noncollinear order, including stacked triangular antiferromagnets and helimagnets. For this purpose we compute the field-theoretic

The epsilon expansion and the electroweak phase transition.

  • ArnoldYaffe
  • Physics
    Physical review. D, Particles and fields
  • 1994
The renormalization group and the $\epsilon$-expansion are used to study the properties of the finite-temperature electroweak phase transition and it is found that the rate of baryon non-conservation after the transition is found to be larger than that given by the one-loop effective potential calculation.

First and second order transition in frustrated XY systems

Abstract:The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a controversial subject at present. The field theoretical renormalization group (RG) in three
...