One Dimensional Chain with Long Range Hopping
| dc.creator | Zhou, Chenggang | |
| dc.creator | Bhatt, R. N. | |
| dc.date | 2001-12-23 | |
| dc.date | 2001-12-28 | |
| dc.date.accessioned | 2026-07-07T02:43:56Z | |
| dc.date.available | 2026-07-07T02:43:56Z | |
| dc.description | The one-dimensional (1D) tight binding model with random nearest neighbor hopping is known to have a singularity of the density of states and of the localization length at the band center. We study numerically the effects of random long range (power-law) hopping with an ensemble averaged magnitude $\expectation{|t_{ij}|} \propto |i-j|^{-σ}$ in the 1D chain, while maintaining the particle-hole symmetry present in the nearest neighbor model. We find, in agreement with results of position space renormalization group techniques applied to the random XY spin chain with power-law interactions, that there is a change of behavior when the power-law exponent $σ$ becomes smaller than 2. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0112437 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0112437 | |
| dc.identifier | Phys. Rev. B 68, 045101 (2003). | |
| dc.identifier | doi:10.1103/PhysRevB.68.045101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/18710 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | One Dimensional Chain with Long Range Hopping | |
| dc.type | text |