Quasiperiodic Ising Model in a Transverse Field: Analytical Results
- 9 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (2) , 203-205
- https://doi.org/10.1103/physrevlett.62.203
Abstract
The quantum Ising model in a transverse field with couplings following the Fibonacci sequence is considered. Exact analytical results for the critical line, energy gap, and ground-state singularity are presented. The main features of the multifractal structure of the Cantor-set energy spectrum are discussed.Keywords
This publication has 22 references indexed in Scilit:
- A Soluble Quasi-Crystalline Magnetic Model: The XY Quantum Spin ChainEurophysics Letters, 1986
- Quasiperiodic lattice: Electronic properties, phonon properties, and diffusionPhysical Review B, 1986
- Phonon spectra in one-dimensional quasicrystalsJournal of Statistical Physics, 1986
- Quasiperiodic GaAs-AlAs HeterostructuresPhysical Review Letters, 1985
- Quasiperiodic PatternsPhysical Review Letters, 1985
- A simple derivation of quasi-crystalline spectraJournal of Physics A: General Physics, 1985
- Metallic Phase with Long-Range Orientational Order and No Translational SymmetryPhysical Review Letters, 1984
- On periodic and non-periodic space fillings ofEmobtained by projectionActa Crystallographica Section A Foundations of Crystallography, 1984
- One-Dimensional Schrödinger Equation with an Almost Periodic PotentialPhysical Review Letters, 1983
- Localization Problem in One Dimension: Mapping and EscapePhysical Review Letters, 1983