Lieb-Schultz-Mattis theorem for quasi-topological systems
| dc.creator | Freedman, Michael | |
| dc.creator | Nayak, Chetan | |
| dc.creator | Shtengel, Kirill | |
| dc.date | 2005-08-22 | |
| dc.date | 2008-11-27 | |
| dc.date.accessioned | 2026-07-07T12:04:54Z | |
| dc.date.available | 2026-07-07T12:04:54Z | |
| dc.description | In this paper we address the question of the existence of a spectral gap in a class of local Hamiltonians. These Hamiltonians have the following properties: their ground states are known exactly; all equal-time correlation functions of local operators are short-ranged; and correlation functions of certain non-local operators are critical. A variational argument shows gaplessness with $ω\propto k^2$ at critical points defined by the absence of certain terms in the Hamiltonian, which is remarkable because equal-time correlation functions of local operators remain short-ranged. We call such critical points, in which spatial and temporal scaling are radically different, quasi-topological. When these terms are present in the Hamiltonian, the models are in gapped topological phases which are of special interest in the context of topological quantum computation. | |
| dc.description | v2: The version published in Phys. Rev B. A new section has been added; a gap in the earlier version of the proof has been eliminated | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0508508 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0508508 | |
| dc.identifier | Phys. Rev. B 78, 174411 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.78.174411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208239 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Lieb-Schultz-Mattis theorem for quasi-topological systems | |
| dc.type | text |