Conductance of a penrose tiling
- 15 November 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (14) , 10109-10112
- https://doi.org/10.1103/physrevb.38.10109
Abstract
The conductance of a tight-binding model on a Penrose tiling is calculated as a function of Fermi energy by the multichannel Landauer formula. The conductance shows spiky fine structures. The behavior of the conductance is compared with the density of states of the corresponding system. It is also found that the dependence of the conductance on the system size is anomalous and analogous to the universal conductance fluctuation.Keywords
This publication has 22 references indexed in Scilit:
- Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal modelPhysical Review B, 1987
- Quasiperiodic lattice: Electronic properties, phonon properties, and diffusionPhysical Review B, 1986
- Eigenstates in 2-Dimensional Penrose TilingJournal of the Physics Society Japan, 1986
- 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
- Algebraic theory of Penrose's non-periodic tilings of the plane. IIIndagationes Mathematicae, 1981
- Algebraic theory of Penrose's non-periodic tilings of the plane. IIndagationes Mathematicae, 1981
- Sequences of zeros and ones generated by special production rulesIndagationes Mathematicae, 1981
- Mathematical GamesScientific American, 1977