RENORMALIZATION FOR QUANTUM-SYSTEMS - GENERALIZED BLOCK TRANSFORMATIONS IN THE LARGE-L LIMIT

The renormalization-group (RG) transformation for the one-dimensional quantum Ising model has been performed exactly for two different block transformations with arbitrary size of the block (L). The recursion equations have been generalized in the large-L limit for other models using finite-size scaling ideas. We show that the success of the real-space RG method for the quantum Ising model is accidental. For other models the RG transformation generally mixes up the surface and bulk properties of the model such that strong block-size corrections appear.