High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model

Details High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model

2008-07-29

arxiv.org/abs/0807.4617v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 8 Postscript figures

Scientific paper

10.1103/PhysRevE.79.011107

We calculate the high-temperature series of the magnetic susceptibility and the second and fourth moments of the correlation function for the XY model on the square lattice to order $\beta^{33}$ by applying the improved algorithm of the finite lattice method. The long series allow us to estimate the inverse critical temperature as $\beta_c=1.1200(1)$, which is consistent with the most precise value given previously by the Monte Carlo simulation. The critical exponent for the multiplicative logarithmic correction is evaluated to be $\theta=0.054(10)$, which is consistent with the renormalization group prediction of $\theta={1/16}$.

Affiliated with

Also associated with

No associations

Rating

High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model 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 High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38396