TY - JOUR
T1 - Functional renormalization group approach to noncollinear magnets
AU - Delamotte, B.
AU - Dudka, M.
AU - Mouhanna, D.
AU - Yabunaka, S.
N1 - Publisher Copyright:
© 2016 American Physical Society.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2016/2/3
Y1 - 2016/2/3
N2 - A functional renormalization group approach to d-dimensional, N-component, noncollinear 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 Nc(d) that, for a given dimension d, separates a first-order region for N<Nc(d) from a second-order region for N>Nc(d). Our approach concludes to the absence of a stable fixed point in the physical - N=2,3 and d=3 - cases, in agreement with the ε=4-d expansion and in contradiction with previous perturbative approaches performed at fixed dimension and with recent approaches based on the conformal bootstrap program.
AB - A functional renormalization group approach to d-dimensional, N-component, noncollinear 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 Nc(d) that, for a given dimension d, separates a first-order region for N<Nc(d) from a second-order region for N>Nc(d). Our approach concludes to the absence of a stable fixed point in the physical - N=2,3 and d=3 - cases, in agreement with the ε=4-d expansion and in contradiction with previous perturbative approaches performed at fixed dimension and with recent approaches based on the conformal bootstrap program.
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U2 - 10.1103/PhysRevB.93.064405
DO - 10.1103/PhysRevB.93.064405
M3 - Article
AN - SCOPUS:84958214313
VL - 93
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 6
M1 - 064405
ER -