TY - JOUR
T1 - Surprises in O (N) Models
T2 - Nonperturbative Fixed Points, Large N Limits, and Multicriticality
AU - Yabunaka, Shunsuke
AU - Delamotte, Bertrand
N1 - Funding Information:
We acknowledge H. Chaté, N. Defenu, C. Duclut, N. Dupuis, J.-M. Maillard, H. Osborn, R. Pisarski, G. Tarjus, and M. Tissier for discussions and/or advice about the Letter. S. Y. was supported by Grant-in-Aid for Young Scientists (B) (15K17737), Grants-in-Aid for Japan Society for the Promotion of Science (JSPS) Fellows (Grant No. 263111), and the JSPS Core-to-Core Program “Non-equilibrium dynamics of soft matter and information.”
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/11/7
Y1 - 2017/11/7
N2 - We find that the multicritical fixed point structure of the O(N) models is much more complicated than widely believed. In particular, we find new nonperturbative fixed points in three dimensions (d=3) as well as at N=. These fixed points come together with an intricate double-valued structure when they are considered as functions of d and N. Many features found for the O(N) models are shared by the O(N) - O(2) models relevant to frustrated magnetic systems.
AB - We find that the multicritical fixed point structure of the O(N) models is much more complicated than widely believed. In particular, we find new nonperturbative fixed points in three dimensions (d=3) as well as at N=. These fixed points come together with an intricate double-valued structure when they are considered as functions of d and N. Many features found for the O(N) models are shared by the O(N) - O(2) models relevant to frustrated magnetic systems.
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U2 - 10.1103/PhysRevLett.119.191602
DO - 10.1103/PhysRevLett.119.191602
M3 - Article
C2 - 29219526
AN - SCOPUS:85033586335
SN - 0031-9007
VL - 119
JO - Physical Review Letters
JF - Physical Review Letters
IS - 19
M1 - 191602
ER -