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.
arXiv comment2 pages, 5 figures, submitted to SCES '04
References in corpus (3)
- Dynamical Density-Matrix Renormalization Group for the Mott--Hubbard insulator in high dimensions
- Fourth-Order Perturbation Theory for the Half-Filled Hubbard Model in Infinite Dimensions
- Projective Quantum Monte Carlo Method for the Anderson Impurity Model and its Application to Dynamical Mean Field Theory
Cited by in corpus (10)
- Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
- Electron spectra close to a metal-to-insulator transition
- Single-Particle Dynamics in the Vicinity of the Mott-Hubbard Metal-to-Insulator Transition
- Emergent Collective Modes and Kinks in Electronic Dispersions
- Efficiency of quantum Monte Carlo impurity solvers for dynamical mean-field theory
- No-go theorem for the description of Mott phenomena with conventional Density Functional Theory methods
- Mott transitions in the half-filled SU(2M) symmetric Hubbard model
- Quasi continuous-time impurity solver for the dynamical mean-field theory with linear scaling in the inverse temperature
- 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