Quantum Renormalization Groups Based on Natural Orbitals

Abstract

We propose a new concept upon the renormalization group (RG) procedure for an interacting many-electron correlated system in the framework of natural orbitals, and formulate an algorithm for this RG approach. To demonstrate its effectiveness, we apply this new approach on a quantum cluster-impurity model with four impurities in comparison with the exact diagonalization method. We also find a shortcut to dramatically improving this RG algorithm. Further discussion is presented with the cluster dynamical mean-field theory and multi-impurity/orbital Kondo problems.

4.5 pages, 4 figures, and 1 table; 3 pages Supl. with another 2 figures and 4 tables; In this version, we update the Supl. with more discussions and comparisons with DMRG

References in corpus (3)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• The numerical renormalization group method for quantum impurity systems
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations

Cited by in corpus (29)

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