Competing density-wave orders in a one-dimensional hard-boson model
| dc.creator | Fendley, Paul | |
| dc.creator | Sengupta, K. | |
| dc.creator | Sachdev, Subir | |
| dc.date | 2003-09-19 | |
| dc.date | 2003-09-21 | |
| dc.date.accessioned | 2026-07-07T02:53:32Z | |
| dc.date.available | 2026-07-07T02:53:32Z | |
| dc.description | We describe the zero-temperature phase diagram of a model of bosons, occupying sites of a linear chain, which obey a hard-exclusion constraint: any two nearest-neighbor sites may have at most one boson. A special case of our model was recently proposed as a description of a ``tilted'' Mott insulator of atoms trapped in an optical lattice. Our quantum Hamiltonian is shown to generate the transfer matrix of Baxter's hard-square model. Aided by exact solutions of a number of special cases, and by numerical studies, we obtain a phase diagram containing states with long-range density-wave order with period 2 and period 3, and also a floating incommensurate phase. Critical theories for the various quantum phase transitions are presented. As a byproduct, we show how to compute the Luttinger parameter in integrable theories with hard-exclusion constraints. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0309438 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0309438 | |
| dc.identifier | Physical Review B 69, 075106 (2004) | |
| dc.identifier | doi:10.1103/PhysRevB.69.075106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22255 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Competing density-wave orders in a one-dimensional hard-boson model | |
| dc.type | text |