Néel and Valence-Bond Crystal phases of the Two-Dimensional Heisenberg Model on the Checkerboard Lattice
| dc.creator | Moukouri, S. | |
| dc.date | 2007-09-17 | |
| dc.date.accessioned | 2026-07-07T08:30:06Z | |
| dc.date.available | 2026-07-07T08:30:06Z | |
| dc.description | I use an improved version of the two-step density matrix renormalization group method to study ground-state properties of the 2D Heisenberg model on the checkerboard lattice. In this version the Hamiltonian is projected on a tensor product of two-leg ladders instead of chains. This allows investigations of 2D isotropic models. I show that this method can describe both the magnetically disordered and ordered phases. The ground-state phases of the checkerboard model as $J_2$ increases are: (i) Néel with $Q=(π,π)$, (ii) a valence bond crystal (VBC) of plaquettes, (iii) Néel with $Q=(π/2,π)$, and (iv) a VBC of crossed dimers. In agreement with previous results, I find that at the isotropic point $J_2=J_1$, the ground state is made of weakly interacting plaquettes with a large gap $Δ\approx 0.67 J_1$ to triplet excitations. | |
| dc.description | 4 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0709.2688 | |
| dc.identifier | http://arxiv.org/abs/0709.2688 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138159 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Néel and Valence-Bond Crystal phases of the Two-Dimensional Heisenberg Model on the Checkerboard Lattice | |
| dc.type | text |