Conférence - Assa Auerbach : Computing Low Energy Effective Hamiltonians of Hubbard and Heisenberg Models in Two Dimensions by Contractor Renormalization

Antoine GeorgesPhysique de la matière condenséeAnnée 2022-2023Conférence - Assa Auerbach : Computing Low Energy Effective Hamiltonians of Hubbard and Heisenberg Models in Two Dimensions by Contractor RenormalizationAssa Auerbach, Department of Physics, Technion, Israel Institute of TechnologyThe Higgs Mode and Quantum Criticality in Condensed MatterContractor 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.