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.
| Original language | English |
|---|---|
| Pages (from-to) | 1872-1875 |
| Number of pages | 4 |
| Journal | journal of the physical society of japan |
| Volume | 66 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1997 Jul |
| Externally published | Yes |
Keywords
- Auxiliary field quantum Monte Carlo
- Magnetic ordering
- Metal-insulator transition
- Minus sign problem
- Multi-orbital Hubbard model
- Orbital ordering
ASJC Scopus subject areas
- Physics and Astronomy(all)