No sliding in time
| dc.creator | Shtengel, Kirill | |
| dc.creator | Nayak, Chetan | |
| dc.creator | Bishara, Waheb | |
| dc.creator | Chamon, Claudio | |
| dc.date | 2005-06-28 | |
| dc.date.accessioned | 2026-07-07T03:05:49Z | |
| dc.date.available | 2026-07-07T03:05:49Z | |
| dc.description | In this letter, we analyse the following apparent paradox: As has been recently proved by Hastings (cond-mat/0305505), under a general set of conditions, if a local Hamiltonian has a spectral gap above its (unique) ground state (GS), all connected equal-time correlation functions of local operators decay exponentially with distance. On the other hand, statistical mechanics provides us with examples of 3D models displaying so-called sliding phases (O'Hern et al., cond-mat/9904415) which are characterised by the algebraic decay of correlations within 2D layers and exponential decay in the third direction. Interpreting this third direction as time would imply a gap in the corresponding (2+1)D quantum Hamiltonian which would seemingly contradict Hastings' theorem. The resolution of this paradox lies in the non-locality of such a quantum Hamiltonian. | |
| dc.description | 7 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0506710 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0506710 | |
| dc.identifier | J. Phys. A: Math. Gen. 38 (2005) L589--L595 | |
| dc.identifier | doi:10.1088/0305-4470/38/36/L01 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26592 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | No sliding in time | |
| dc.type | text |