Critical thermodynamics of three-dimensional chiral model for N > 3

Details Critical thermodynamics of three-dimensional chiral model for N > 3 Critical thermodynamics of three-dimensional chiral model for N > 3

2003-04-07

arxiv.org/abs/cond-mat/0304154v1

Phys.Rev. B68 (2003) 094415

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures

Scientific paper

10.1103/PhysRevB.68.094415

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 $N > N_{c1}$ and $N < N_{c2}$ from the region $N_{c1} > N > N_{c2}$ where such transitions are first-order. Our calculations yield $N_{c1} = 6.4(4)$ and $N_{c2} = 5.7(3)$. For $N > N_{c1}$ the structure of RG flows is identical to that given by the $\epsilon$ and 1/N expansions with the chiral fixed point being a stable node. For $N < N_{c2}$ the chiral fixed point turns out to be a focus having no generic relation to the stable fixed point seen at small $\epsilon$ 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.

Affiliated with

Also associated with

No associations

Rating

Critical thermodynamics of three-dimensional chiral model for N > 3 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical thermodynamics of three-dimensional chiral model for N > 3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical thermodynamics of three-dimensional chiral model for N > 3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521624