Cluster perturbation theory for Hubbard models

By D. S'en'echal, D. P'erez, D. Plouffe. 2002

169 citations recorded by the source corpus.

Cluster perturbation theory is a technique for calculating the spectral weight of Hubbard models of strongly correlated electrons, which combines exact diagonalizations on small clusters with strong-coupling perturbation theory at leading order. It is exact in both the strong- and weak-coupling limits and provides a good approximation to the spectral function at any wave vector. Following the paper by Senechal et al. [Phys. Rev. Lett. 84. 522 (2000)], we provide a more complete description and derivation of the method. We illustrate some of its capabilities, in particular regarding the effect of doping, the calculation of ground state energy and double occupancy, the disappearance of the Fermi surface in the t-t' Hubbard model, and so on. The method is applicable to any model with on-site repulsion only.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/ab98651fbf761c8166d4c699b18e1f7e07dafe62

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Electronic, Optical and Magnetic Materials

Citations in the corpus

Electronic structure calculations with dynamical mean-field theory (2005, methodology): “The lattice self-energy is then obtained by restoring the periodicity in the Green’s function Gros and Valenti, 1993; Sénéchal et al., 2000, 2002; Zacher et al., 2000, 2002; Dahnken et al., 2002 .”
Quantum cluster theories (2004, methodology): “However, as discussed by Sénéchal et al. (2002), periodic boundary conditions lead to less accurate spectra for the 1D Hubbard model than open boundary conditions.”