Heisenberg frustrated magnets: a nonperturbative approach

Details Heisenberg frustrated magnets: a nonperturbative approach Heisenberg frustrated magnets: a nonperturbative approach

2000-01-24

arxiv.org/abs/cond-mat/0001350v1

Phys.Rev.Lett. 84 (2000) 5208-5211

Physics

Condensed Matter

Statistical Mechanics

5 pages, Revtex, technical details available at http://www.lpthe.jussieu.fr/~tissier

Scientific paper

10.1103/PhysRevLett.84.5208

Frustrated magnets are a notorious example where the usual perturbative methods are in conflict. Using a nonperturbative Wilson-like approach, we get a coherent picture of the physics of Heisenberg frustrated magnets everywhere between $d=2$ and $d=4$. We recover all known perturbative results in a single framework and find the transition to be weakly first order in $d=3$. We compute effective exponents in good agreement with numerical and experimental data.

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