Speaker
Description
Critical 2D classical lattice models are analyzed through a method-agnostic finite-size-scaling framework built on tensor-network transfer matrices. The key idea is an explicit crossover length scale that separates the finite-size-scaling regime from the finite-entanglement-scaling regime induced by bond-dimension truncation. Working within this self-consistent finite-size window, the central charge, scaling dimensions, and conformal spins can be estimated and cross-validated across three independent tensor renormalization schemes — HOTRG, PTMRG, and CTRG — on the critical Ising and three-state clock models. Universal behavior emerges robustly below the crossover scale, with accurate conformal data extracted up to relatively high conformal levels. Moreover, a natural operational definition of entanglement scaling is provided by our analysis.