Order N Monte Carlo Algorithm for Fermion Systems Coupled with Fluctuating Adiabatical Fields
| dc.creator | Furukawa, Nobuo | |
| dc.creator | Motome, Yukitoshi | |
| dc.date | 2003-08-14 | |
| dc.date.accessioned | 2026-07-07T02:52:56Z | |
| dc.date.available | 2026-07-07T02:52:56Z | |
| dc.description | An improved algorithm is proposed for Monte Carlo methods to study fermion systems interacting with adiabatical fields. To obtain a weight for each Monte Carlo sample with a fixed configuration of adiabatical fields, a series expansion using Chebyshev polynomials is applied. By introducing truncations of matrix operations in a systematic and controlled way, it is shown that the cpu time is reduced from O(N^3) to O(N) where N is the system size. Benchmark results show that the implementation of the algorithm makes it possible to perform systematic investigations of critical phenomena using system-size scalings even for an electronic model in three dimensions, within a realistic cpu timescale. | |
| dc.description | 9 pages with 4 figs | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0308298 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0308298 | |
| dc.identifier | J. Phys. Soc. Jpn. 73, 1482 (2004) | |
| dc.identifier | doi:10.1143/JPSJ.73.1482 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22026 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Order N Monte Carlo Algorithm for Fermion Systems Coupled with Fluctuating Adiabatical Fields | |
| dc.type | text |