Magnon properties of the one-dimensional quasiperiodic system
- 21 August 1989
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 1 (33) , 5725-5730
- https://doi.org/10.1088/0953-8984/1/33/016
Abstract
At low excitations, the ferromagnetic spin-wave problem of the one-dimensional quasiperiodic system is converted into the one which is analogous to the electronic and phonon problems. The ferromagnetic magnon properties are studied by the transfer-matrix technique and it is concluded that the frequency spectrum is a Cantor set. It is also shown that, at low excitations, the antiferromagnetic spin-wave problem of the one-dimensional quasiperiodic system can be converted in a similar way to the ferromagnetic one, and the antiferromagnetic magnon properties can be studied by the transfer-matrix technique.Keywords
This publication has 8 references indexed in Scilit:
- Quasi-Bloch electrons of the two-dimensional quasi-periodic system in a tile-dependent magnetic fieldJournal of Physics C: Solid State Physics, 1988
- A Global Cut‐and‐Project Method to Construct Generalized Fibonacci Lattices and QuasilatticesPhysica Status Solidi (b), 1988
- Electronic structure of a quasiperiodic systemPhysical Review B, 1987
- ELECTRONIC STATES OF QUASIPERIODIC SYSTEMS: FIBONACCI AND PENROSE LATTICESInternational Journal of Modern Physics B, 1987
- Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal modelPhysical Review B, 1987
- Metallic Phase with Long-Range Orientational Order and No Translational SymmetryPhysical Review Letters, 1984
- One-Dimensional Schrödinger Equation with an Almost Periodic PotentialPhysical Review Letters, 1983
- Localization Problem in One Dimension: Mapping and EscapePhysical Review Letters, 1983