2003/04/07 by Pasquale Calabrese, P. Calabrese, Pietro Parruccini +2 · 2 citations
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1103/physrevb.68.094415
published as Phys.Rev. B68 (2003) 094415 · 12 pages, 3 figures
arxiv created 2003/04/07 · openalex publication_date 2003/09/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The critical behavior of the three-dimensional N-vector chiral model is studied for arbitrary N. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping and Pad'e approximant techniques. Analyzing the fixed-point location and the structure of RG flows, it is found that two marginal values of N exist which separate domains of continuous chiral phase transitions N>Nc1 and N<Nc2 from the region Nc1>N>Nc2 where such transitions are first order. Our calculations yield Nc1=6.4(4) and Nc2=5.7(3). For N>Nc1 the structure of RG flows is identical to that given by the \ensuremathε and 1/N expansions with the chiral fixed point being a stable node. For N<Nc2 the chiral fixed point turns out to be a focus having no generic relation to the stable fixed point seen at small \ensuremathε and large N. In this domain, containing the physical values N=2 and N=3, phase trajectories approach the fixed point in a spiral-like manner giving rise to unusual crossover regimes which may imitate varying (scattered) critical exponents seen in numerous physical and computer experiments.