Numerical diagonalization analysis of the ground-state superfluid-localization transition in two dimensions
| dc.creator | Nishiyama, Yoshihiro | |
| dc.date | 1998-12-20 | |
| dc.date.accessioned | 2026-07-07T03:12:27Z | |
| dc.date.available | 2026-07-07T03:12:27Z | |
| dc.description | Ground state of the two-dimensional hard-core-boson system in the presence of the quenched random chemical potential is investigated by means of the exact-diagonalization method for the system sizes up to L=5. The criticality and the DC conductivity at the superfluid-localization transition have been controversial so far. We estimate, with the finite-size scaling analysis, the correlation-length and the dynamical critical exponents as nu=2.3(0.6) and z=2, respectively. The AC conductivity is computed with the Gagliano-Balseiro formula, with which the resolvent (dynamical response function) is expressed in terms of the continued-fraction form consisted of Lanczos tri-diagonal elements. Thereby, we estimate the universal DC conductivity as sigma_c(omega=0)=0.135(0.01) ((2e)^2/h). | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9812332 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9812332 | |
| dc.identifier | Eur. Phys. J. B 9, 215-223 (1999). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28915 | |
| dc.subject | Condensed Matter | |
| dc.title | Numerical diagonalization analysis of the ground-state superfluid-localization transition in two dimensions | |
| dc.type | text |