Subtlety of Determining the Critical Exponent $ν$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice

Details Subtlety of Determining the Critical Exponent $ν$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice Subtlety of Determining the Critical Exponent $ν$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice

2009-06-15

arxiv.org/abs/0906.2539v3

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 9 figures, 1 table, version accepted for publishing

Scientific paper

Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we study a similar anisotropic spin-1/2 Heisenberg model on the honeycomb lattice. The critical point where the phase transition occurs due to the dimerization as well as the critical exponent $\nu$ are analyzed in great detail. Remarkly, using most of the available data points in conjunction with the expected finite-size scaling ansatz with a sub-leading correction indeed leads to a consistent $\nu = 0.691(2)$ with that calculated in \cite{Wenzel08}. However by using the data with large number of spins $N$, we obtain $\nu = 0.707(6)$ which agrees with the most accurate Monte Carlo O(3) value $\nu = 0.7112(5)$ as well.

Affiliated with

Also associated with

No associations

Rating

Subtlety of Determining the Critical Exponent $ν$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice 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 Subtlety of Determining the Critical Exponent $ν$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Subtlety of Determining the Critical Exponent $ν$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-315208