Entanglement Entropy of One-dimensional Gapped Spin Chains
| dc.creator | Hirano, Takaaki | |
| dc.creator | Hatsugai, Yasuhiro | |
| dc.date | 2007-03-25 | |
| dc.date | 2007-07-10 | |
| dc.date.accessioned | 2026-07-07T08:14:44Z | |
| dc.date.available | 2026-07-07T08:14:44Z | |
| dc.description | We investigate the entanglement entropy (EE) of gapped S=1 and $S=1/2$ spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the $S=1/2$ dimerized Heisenberg chain, the EE of the sufficiently long chain is essentially explained by the localized $S=1/2$ effective spins on the boundaries. As for S=1, the effective spins are also $S=1/2$ causing a Kennedy triplet that yields a lower bound for the EE. In this case, the residual entanglement reduces substantially by a continuous deformation of the Heisenberg model to that of the AKLT Hamiltonian. | |
| dc.description | 5 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0703642 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0703642 | |
| dc.identifier | J. Phys. Soc. Jpn., Vol.76, 074603 (2007) | |
| dc.identifier | doi:10.1143/JPSJ.76.074603 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133231 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Entanglement Entropy of One-dimensional Gapped Spin Chains | |
| dc.type | text |