A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models

Details A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models

1997-05-08

arxiv.org/abs/cond-mat/9705069v2

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages LaTeX including 2 PS figures, to appear in J.Phys.Soc.Jpn

Scientific paper

10.1143/JPSJ.66.1872

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.

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