Abstract
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.
| Original language | English |
|---|---|
| Article number | 064405 |
| Journal | Physical Review B |
| Volume | 93 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Feb 3 2016 |
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All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
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Functional renormalization group approach to noncollinear magnets. / Delamotte, B.; Dudka, M.; Mouhanna, D.; Yabunaka, S.
In: Physical Review B, Vol. 93, No. 6, 064405, 03.02.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Functional renormalization group approach to noncollinear magnets
AU - Delamotte, B.
AU - Dudka, M.
AU - Mouhanna, D.
AU - Yabunaka, S.
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.
UR - http://www.scopus.com/inward/record.url?scp=84958214313&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84958214313&partnerID=8YFLogxK
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 -