title: Universal asymptotic eigenvalue distribution of density matrices and corner transfer matrices in the thermodynamic limit.
abstract: We study the asymptotic behavior of the eigenvalue distribution of the corner transfer matrix (M(CTM)) and the density matrix (M(DM)) in the density-matrix renormalization group. We utilize the relationship M(DM)=M(4)(CTM), which holds for noncritical systems in the thermodynamic limit. We derive the exact and universal asymptotic form of the M(DM) eigenvalue distribution for a class of integrable models in the massive regime. For nonintegrable models, the universal asymptotic form is also verified by numerical renormalization group calculations.
authors.affiliation: Department of Physics, Graduate School of Science, Osaka University, Machikaneyama-cho 1-1, Toyonaka, Osaka 560-0043, Japan.
authors.forename: K
authors.initials: K
authors.lastname: Okunishi
authors.forename: Y
authors.initials: Y
authors.lastname: Hieida
authors.forename: Y
authors.initials: Y
authors.lastname: Akutsu