Neel order in the Hubbard model within spin-charge rotating reference frame approach: crossover from weak to strong coupling
| dc.creator | Zaleski, T. A. | |
| dc.creator | Kopec, T. K. | |
| dc.date | 2008-11-03 | |
| dc.date.accessioned | 2026-07-07T10:14:52Z | |
| dc.date.available | 2026-07-07T10:14:52Z | |
| dc.description | The antiferromagnetic phase of two-dimensional (2D) and three-dimensional (3D) Hubbard model with nearest neighbors hopping is studied on a bipartite cubic lattice by means of the quantum SU(2)xU(1) rotor approach that yields a fully self-consistent treatment of the antiferromagnetic state that respects the symmetry properties the model and satisfy the Mermin-Wagner theorem. The collective variables for charge and spin are isolated in the form of the space-time fluctuating U(1) phase field and rotating spin quantization axis governed by the SU(2) symmetry, respectively. As a result interacting electrons appear as a composite objects consisting of bare fermions with attached U(1) and SU(2) gauge fields. An effective action consisting of a spin-charge rotor and a fermionic fields is derived as a function of the Coulomb repulsion U and hopping parameter t. At zero temperature, our theory describes the evolution from a Slater (U<<t) to a Mott-Heisenberg (U>>t) antiferromagnet. The results for zero-temperature sublatice magnetization (2D) and finite temperature (3D) phase diagram of the antiferromagnetic Hubbard model as a function of the crossover parameter U/t are presented and the role of the spin Berry phase in the interaction driven crossover is analyzed. | |
| dc.description | 11 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0811.0248 | |
| dc.identifier | http://arxiv.org/abs/0811.0248 | |
| dc.identifier | Phys. Rev. B 77, 125120 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.125120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173031 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Neel order in the Hubbard model within spin-charge rotating reference frame approach: crossover from weak to strong coupling | |
| dc.type | text |