Quantum phase transition in Bose-Holstein model in two dimensions
| dc.creator | Datta, Sanjoy | |
| dc.creator | Yarlagadda, Sudhakar | |
| dc.date | 2008-12-10 | |
| dc.date.accessioned | 2026-07-07T12:11:43Z | |
| dc.date.available | 2026-07-07T12:11:43Z | |
| dc.description | We derive an effective d-dimensional Hamiltonian for a system of hard-core-bosons coupled to optical phonons in a lattice. Away from half-filling, we show that the presence of next-nearest-neighbor hopping in the effective Hamiltonian leads to a superfluid-to-supersolid transition at intermediate boson-phonon (b-p) couplings, while at strong-couplings the system phase separates. However, at half-filling and at a critical b-p coupling (as in the xxz-model), the system undergoes a superfluid-to-charge-density-wave transition without any signature of supersolidity. Our analyses is based on extensive calculations of the structure factor, the superfluid fraction, the Bose-Einstein condensate fraction, and the system energy at various fillings. We present a phase diagram for this system and compare it to that of the xxz-model. We also demonstrate explicitly that the next-nearest-neighbor hopping (in the absence of nearest-neighbor hopping) in the effective Hamiltonian leads only to a single transition, i.e., a first-order superfluid-to-supersolid transition. | |
| dc.identifier | https://arxiv.org/abs/0812.1987 | |
| dc.identifier | http://arxiv.org/abs/0812.1987 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210310 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Superconductivity | |
| dc.title | Quantum phase transition in Bose-Holstein model in two dimensions | |
| dc.type | text |