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Real-space cluster dynamical mean-field theory: Center-focused extrapolation on the one- and two particle-levels

Marcel Klett, Nils Wentzell, Thomas Schäfer, Fedor Šimkovic, Olivier Parcollet, Sabine Andergassen, P. Hansmann

2020Physical Review Research27 citationsDOIOpen Access PDF

Abstract

We revisit the cellular dynamical mean-field theory (CDMFT) for the single-band Hubbard model on the square lattice at half filling, reaching real-space cluster sizes of up to 9 9 sites. Using benchmarks against direct lattice diagrammatic Monte Carlo at high temperature, we show that the self-energy obtained from a cluster center-focused extrapolation converges faster with the cluster size than the periodization schemes previously introduced in the literature. The same benchmark also shows that the cluster spin susceptibility can be extrapolated to the exact result at large cluster size, even though its spatial extension is larger than the cluster size.

Topics & Concepts

ExtrapolationCluster (spacecraft)Field (mathematics)Center (category theory)PhysicsSpace (punctuation)Statistical physicsParticle (ecology)MathematicsStatisticsComputer scienceGeologyPure mathematicsCrystallographyOperating systemProgramming languageChemistryOceanographyCold Atom Physics and Bose-Einstein CondensatesPhysics of Superconductivity and MagnetismTheoretical and Computational Physics
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