Bond-dependent slave-particle cluster theory based on density matrix expansion

Abstract

Efficient and accurate computational methods for dealing with interacting electron problems on a lattice are of broad interest to the condensed matter community. For interacting Hubbard models, we introduce a cluster slave-particle approach that provides significant computational savings with high accuracy for total energies, site occupancies, and interaction energies. Compared to exact benchmarks using density matrix renormalization group for $d$-$p$ Hubbard models, our approach delivers accurate results using two to three orders of magnitude lower computational cost. Our method is based on a novel slave-particle decomposition with an improved description of particle hoppings, and a new density matrix expansion method where the interacting lattice slave-particle problem is then turned into a set of overlapping real-space clusters which are solved self-consistently with appropriate physical matching constraints at shared lattice sites between clusters.

21 pages, 13 figures

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Cited by in corpus (1)

• First principle prediction of structural distortions in the cuprates and their impact on the electronic structure