Chiral critical behavior of frustrated spin systems in two dimensions from five-loop renormalization-group expansions. / Orlov, E. V.; Parruccini, P.; Sokolov, A. I.; Calabrese, P.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 67, No. 2, 01.01.2003, p. 024413 (9 pages).Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Chiral critical behavior of frustrated spin systems in two dimensions from five-loop renormalization-group expansions
AU - Orlov, E. V.
AU - Parruccini, P.
AU - Sokolov, A. I.
AU - Calabrese, P.
PY - 2003/1/1
Y1 - 2003/1/1
N2 - We analyze the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group (RG) approximation. The structure of the RG flow is studied for different N leading to the conclusion that the chiral fixed point governing the critical behavior of physical systems with (formula presented) and (formula presented) does not coincide with that given by the (formula presented) expansion. We show that the stable chiral fixed point for (formula presented) including (formula presented) and (formula presented) turns out to be a focus. We give a complete characterization of the critical behavior controlled by this fixed point, also evaluating the subleading crossover exponents. The spiral-like approach of the chiral fixed point is argued to give rise to unusual crossover and near-critical regimes that may imitate varying critical exponents seen in numerous physical and computer experiments.
AB - We analyze the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group (RG) approximation. The structure of the RG flow is studied for different N leading to the conclusion that the chiral fixed point governing the critical behavior of physical systems with (formula presented) and (formula presented) does not coincide with that given by the (formula presented) expansion. We show that the stable chiral fixed point for (formula presented) including (formula presented) and (formula presented) turns out to be a focus. We give a complete characterization of the critical behavior controlled by this fixed point, also evaluating the subleading crossover exponents. The spiral-like approach of the chiral fixed point is argued to give rise to unusual crossover and near-critical regimes that may imitate varying critical exponents seen in numerous physical and computer experiments.
UR - http://www.scopus.com/inward/record.url?scp=85038318602&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.67.024413
DO - 10.1103/PhysRevB.67.024413
M3 - Article
VL - 67
SP - 024413 (9 pages)
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 2
ER -
ID: 5571190