Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study

Details Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study

1997-10-15

arxiv.org/abs/cond-mat/9710144v1

Phys. Rev. B 57, 7877 (1998)

Physics

Condensed Matter

12 pages, RevTeX, 14 PostScript figures included

Scientific paper

10.1103/PhysRevB.57.7877

We use the density matrix renormalization group (DMRG) to perform a detailed study of the critical properties of the two dimensional Q state Potts model, including the magnetization and energy-density profiles, bulk and surface critical exponents and the Casimir amplitudes. We apply symmetry breaking boundary conditions to a $L \times \infty$ strip and diagonalize the corresponding transfer matrix for a series of moderately large systems ($L \le 64$) by the DMRG method. The numerically very accurate finite lattice results are then extrapolated by efficient sequence extrapolation techniques. The critical density profiles and the Casimir amplitudes are found to follow precisely the conformal predictions for Q=2 and 3. Similarly, the bulk and surface critical exponents of the models are in very good agreement with the conformal and exact values: their accuracy has reached or even exceeded the accuracy of other available numerical methods. For the Q=4 model both the profiles and the critical exponents show strong logarithmic corrections, which are also studied.

Affiliated with

Also associated with

No associations

Rating

Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study 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 Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-166271