Abstract
A renormalization scheme which takes into account the natural frequency of the system is developed to study an anisotropic quantum XY spin chain in a quasiperiodic transverse field. The quasiparticle excitations of the model exhibit extended, localized as well as critical phase, with fractal characteristics, in a finite parameter interval. The scaling properties of the critical phase fall into four distinct universality classes. The isotropic limit of the model describes the extensively studied Harper equation. The renormalization approach provides a new method for determining energies and transition thresholds with extremely high precision.
| Original language | English |
|---|---|
| Pages (from-to) | 212-233 |
| Number of pages | 22 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 219 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 15 Sept 1995 |
| MoE publication type | Not Eligible |
Funding
The researcho f IIS is supportedb y a grant from National ScienceF oundation DMR 093296J.A K is gratefuflo r the hospitalitdy uringh is visit to the GeorgeM ason Universityw heret his work was initiatedI.I S would like to acknowledgteh ehospitality of ResearchIn stitutefo r TheoreticaPlh ysicsa t Helsinkid uringt hec ourseo f this work.