Frustrated Heisenberg Magnets: A Nonperturbative Approach

2000/01/24 by Matthieu Tissier, M. Tissier, B. Delamotte +2 · 11 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevlett.84.5208

published as Phys.Rev.Lett. 84 (2000) 5208-5211 · 5 pages, Revtex, technical details available at http://www.lpthe.jussieu.fr/~tissier

arxiv created 2000/01/24 · openalex publication_date 2000/05/29 · arxiv updated 2009/11/30 · openalex created_date 2020/05/13 · openalex updated_date 2026/07/28

Abstract

Frustrated magnets are a notorious example of where usual perturbative methods fail. Using a nonperturbative Wilson-like approach, we get a coherent picture of the physics of frustrated Heisenberg magnets everywhere between d\phantom\rule0ex0ex=\phantom\rule0ex0ex2 and d\phantom\rule0ex0ex=\phantom\rule0ex0ex4. We recover all known perturbative results in a single framework and find the transition to be weakly of first order in d\phantom\rule0ex0ex=\phantom\rule0ex0ex3. We compute effective exponents that are in good agreement with numerical and experimental data.

Citations

• The renormalization group and the ε expansion
• Exact evolution equation for the effective potential

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