Spin-spin Correlation in Some Excited States of Transverse Ising Model
| dc.creator | Chandra, Anjan Kumar | |
| dc.creator | Dasgupta, Subinay | |
| dc.date | 2007-04-13 | |
| dc.date.accessioned | 2026-07-07T07:59:02Z | |
| dc.date.available | 2026-07-07T07:59:02Z | |
| dc.description | We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the perturbative treatment of one-dimensional transverse Ising model with frustrated second-neighbour interaction. To calculate the correlation, we follow the earlier procedure of Wu, use Szego's theorem and also use Fisher-Hartwig conjecture. The result is that the correlation decays algebraically with distance ($n$) as $1/\surd n$ and is oscillatory or non-oscillatory depending on the magnitude of the transverse field. | |
| dc.description | 5 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0704.1718 | |
| dc.identifier | http://arxiv.org/abs/0704.1718 | |
| dc.identifier | J. Phys. A: Math. Theor. 40 (2007) 5231-5239 | |
| dc.identifier | doi:10.1088/1751-8113/40/20/001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128222 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Spin-spin Correlation in Some Excited States of Transverse Ising Model | |
| dc.type | text |