Heisenberg frustrated magnets: a nonperturbative approach

Abstract

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.

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

References in corpus (2)

• Exact evolution equation for the effective potential
• Convergence of derivative expansions of the renormalization group

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