Ground state of the frustrated Hubbard model within DMFT: energetics of Mott insulator and metal from ePT and QMC
arXiv:cond-mat/0407442 · doi:10.1016/j.physb.2005.01.179
Abstract
We present a new method, ePT, for extrapolating few known coefficients of a perturbative expansion. Controlled by comparisons with numerically exact quantum Monte Carlo (QMC) results, 10th order strong-coupling perturbation theory (PT) for the Hubbard model on the Bethe lattice is reliably extrapolated to infinite order. Within dynamical mean-field theory (DMFT), we obtain continuous estimates of energy E and double occupancy D with unprecedented precision O(10^{-5}) for the Mott insulator above its stability edge U_{c1}=4.78 as well as critical exponents. In addition, we derive corresponding precise estimates for E and D in the metallic ground state from extensive low-temperature QMC simulations using a fit to weak-coupling PT while enforcing thermodynamic consistency.
2 pages, 5 figures, submitted to SCES '04
References in corpus (1)
Cited by in corpus (6)
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- Quantum Monte Carlo simulations of antiferromagnetism in ultracold fermions on optical lattices within real-space dynamical mean-field theory
- Random dispersion approximation for the Hubbard model