A new approach to strongly correlated fermion systems: the spin-particle-hole coherent-state path integral
| dc.creator | Dupuis, N. | |
| dc.date | 2001-05-03 | |
| dc.date.accessioned | 2026-07-07T12:47:40Z | |
| dc.date.available | 2026-07-07T12:47:40Z | |
| dc.description | We describe a new path integral approach to strongly correlated fermion systems, considering the Hubbard model as a specific example. Our approach is based on the introduction of spin-particle-hole coherent states which generalize the spin-1/2 coherent states by allowing the creation of a hole or an additional particle. The action of the fermion system $S[γ^*,γ;{\bfΩ}]$ can be expressed as a function of two Grassmann variables ($γ_\uparrow$,$γ_\downarrow$) describing particles propagating in the lower and upper Hubbard bands, and a unit vector field ${\bfΩ}$ whose dynamics arises from spin fluctuations. In the strong correlation limit, $S[γ^*,γ;{\bfΩ}]$ can be truncated to quartic order in the fermionic fields and used as the starting point of a strong-coupling diagrammatic expansion in $t/U$ ($t$ being the intersite hopping amplitude and $U$ the on-site Coulomb repulsion). We discuss possible applications of this formalism and its connection to the t-J model and the spin-fermion model. | |
| dc.description | 20 pages RevTex, 10 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0105062 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0105062 | |
| dc.identifier | Nucl. Phys. B 618, 617 (2001) | |
| dc.identifier | doi:10.1016/S0550-3213(01)00465-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221797 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | A new approach to strongly correlated fermion systems: the spin-particle-hole coherent-state path integral | |
| dc.type | text |