Abstract
In this work, the Kubo-Greenwood formula is used to investigate the electronic transport in multidimensional macroscopic quasiperiodic lattices within the tight-binding model. This investigation is carried out by means of a novel renormalization method and the convolution technique. The dc electrical conductance of two-dimensional (2D) periodic systems shows uniform steps in units of 2e2/h, as observed in 2D electron-gas experiments, and a fractal distribution of these steps is found when the atoms in perpendicular direction to the applied electric field are quasiperiodically ordered. The spectral integral of these conductances presents a strong dependence on the imaginary part of energy in the Green's function, contrary to the case of density of states.
Original language | English |
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Pages (from-to) | 261-264 |
Number of pages | 4 |
Journal | Ferroelectrics |
Volume | 305 |
DOIs | |
State | Published - 1 Jan 2004 |
Externally published | Yes |
Keywords
- Electronic conduction in metals and alloys
- Quasicrystals
- Renormalization group methods