Multi-scale entanglement renormalization for critical systems

Determining information about the underlying conformal field theory of a critical system in one dimension, such as the central charge and scaling dimensions, is a notoriously difficult problem for numerical methods. Using a suitable tensor network state, the multi-scale entanglement renormalization ansatz [1], this information is directly accessible [2]. We apply this method to several critical systems in one dimension, including a supersymmetric model for lattice fermions and Yang-Lee chains. \\[4pt] [1] G. Vidal, Phys. Rev. Lett. 99, 220405 (2007)\\[0pt] [2] R.N.C. Pfeifer et al, Phys. Rev. A 79(4), 040301(R) (2009)