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arXiv · 1510.00169

Functional renormalization group approach to non-collinear magnets

B. Delamotte·M. Dudka·D. Mouhanna·S. Yabunaka
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Abstract

A functional renormalization group approach to $d$-dimensional, $N$-component, non-collinear magnets is performed using various truncations of the effective action relevant to study their long distance behavior. With help of these truncations we study the existence of a stable fixed point for dimensions between $d= 2.8$ and $d=4$ for various values of $N$ focusing on the critical value $N_c(d)$ that, for a given dimension $d$, separates a first order region for $N N_c(d)$. Our approach concludes to the absence of stable fixed point in the physical - $N=2,3$ and $d=3$ - cases, in agreement with $ε=4-d$-expansion and in contradiction with previous perturbative approaches performed at fixed dimension and with recent approaches based on conformal bootstrap program.

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B. Delamotte, M. Dudka, D. Mouhanna, S. Yabunaka. 2015-10-01. Functional renormalization group approach to non-collinear magnets. https://doi.org/10.1103/physrevb.93.064405

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