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About the relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions | | B. Delamotte
; M. Dudka
; Yu. Holovatch
; D. Mouhanna
; | | Date: |
8 Sep 2010 | | Abstract: | We show that the critical behaviour of two- and three-dimensional frustrated
magnets cannot reliably be described from the known five- and six-loops
perturbative renormalization group results. Our conclusions are based on a
careful re-analysis of the resummed perturbative series obtained within the
zero momentum massive scheme. In three dimensions, the critical exponents for
XY and Heisenberg spins display strong dependences on the parameters of the
resummation procedure and on the loop order. This behaviour strongly suggests
that the fixed points found are in fact spurious. In two dimensions, we find,
as in the O(N) case, that there is apparent convergence of the critical
exponents but towards erroneous values. As a consequence, the interesting
question of the description of the crossover/transition induced by Z2
topological defects in two-dimensional frustrated Heisenberg spins remains
open. | | Source: | arXiv, 1009.1492 | | Services: | Forum | Review | PDF | Favorites | |
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