Configuration Space Renormalization (CSR): a study of fractional quantization of charge in a dual-edge fractional quantum Hall system.

A renormalization procedure is designed to find a subspace of high relevance in a many-body Hilbert space. Substantial reduction in the basis size can be achieved while approaching the exact diagonalization results. The idea is to search for a set of many-particle configurations that contribute the largest weight to the exact solution of the many-body Schr\"odinger equation, without actually computing the exact solution. We start with some suitable set of $K$ configurations and find the ground state of the Hamiltonian in the many-body subspace that they span. We then retain $K'