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Conférence - Assa Auerbach : Computing Low Energy Effective Hamiltonians of Hubbard and Heisenberg Models in Two Dimensions by Contractor Renormalization
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Antoine Georges
Physique de la matière condensée
Année 2022-2023
Conférence - Assa Auerbach : Computing Low Energy Effective Hamiltonians of Hubbard and Heisenberg Models in Two Dimensions by Contractor Renormalization
Assa Auerbach, Department of Physics, Technion, Israel Institute of Technology
The Higgs Mode and Quantum Criticality in Condensed Matter
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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