A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models
Strongly Correlated Electrons
2009-10-30 v2
Abstract
We present a framework of an auxiliary field quantum Monte Carlo (QMC) method for multi-orbital Hubbard models. Our formulation can be applied to a Hamiltonian which includes terms for on-site Coulomb interaction for both intra- and inter-orbitals, intra-site exchange interaction and energy differences between orbitals. Based on our framework, we point out possible ways to investigate various phase transitions such as metal-insulator, magnetic and orbital order-disorder transitions without the minus sign problem. As an application, a two-band model is investigated by the projection QMC method and the ground state properties of this model are presented.
Cite
@article{arxiv.cond-mat/9705069,
title = {A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models},
author = {Yukitoshi Motome and Masatoshi Imada},
journal= {arXiv preprint arXiv:cond-mat/9705069},
year = {2009}
}
Comments
10 pages LaTeX including 2 PS figures, to appear in J.Phys.Soc.Jpn