1997/10/15 by Enrico Carlon, Ferenc Iglói, Ferenc Igloi · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevb.57.7877
published as Phys. Rev. B 57, 7877 (1998) · 12 pages, RevTeX, 14 PostScript figures included
arxiv created 1997/10/15 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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\ifmmode×\else\texttimes\fi\ensuremath∞ strip and diagonalize the corresponding transfer matrix for a series of moderately large systems (L<~64) by the DMRG method. The numerically very accurate finite lattice results are then extrapolated by efficient sequence extrapolation techniques. The density profiles and the Casimir amplitudes at the critical point 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.