Multigrid Hirsch-Fye quantum Monte Carlo method for dynamical mean-field theory
| dc.creator | Blümer, N. | |
| dc.date | 2008-01-08 | |
| dc.date.accessioned | 2026-07-07T08:53:17Z | |
| dc.date.available | 2026-07-07T08:53:17Z | |
| dc.description | We present a new algorithm which allows for direct numerically exact solutions within dynamical mean-field theory (DMFT). It is based on the established Hirsch-Fye quantum Monte Carlo (HF-QMC) method. However, the DMFT impurity model is solved not at fixed imaginary-time discretization Delta_tau, but for a range of discretization grids; by extrapolation, unbiased Green functions are obtained in each DMFT iteration. In contrast to conventional HF-QMC, the multigrid algorithm converges to the exact DMFT fixed points. It extends the useful range of Delta_tau, is precise and reliable even in the immediate vicinity of phase transitions and is more efficient, also in comparison to continuous-time methods. Using this algorithm, we show that the spectral weight transfer at the Mott transition has been overestimated in a recent density matrix renormalization group study. | |
| dc.description | 4+e pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0801.1222 | |
| dc.identifier | http://arxiv.org/abs/0801.1222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145565 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Multigrid Hirsch-Fye quantum Monte Carlo method for dynamical mean-field theory | |
| dc.type | text |