Computing Low Energy Effective Hamiltonians of Hubbard and Heisenberg Models in Two Dimensions by Contractor Renormalization

Contractor Renormalization (CORE) invented for computing correlations in lattice gauge theories in 1996, is a very promising approach for deriving low energy effective Hamiltonians of condensed matter lattice models. CORE identifies the low energy degrees of freedom and their interactions up to the range of truncation.  Truncation error is controlled by the entanglement lengthscale, similarly to the convergence of DMRG. Examples of CORE results the derivation of  Plaquette Boson-Fermion phenomenology for cuprate superconductors, and prediction of p6 symmetry breaking in the gapped spin liquid of the Heisenberg Kagome model.

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