Abstract
The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very well with numerical calculations. It constitutes a rare case where a non-trivial eigenfunction distribution is obtained in a closed form.
| Original language | English |
|---|---|
| Article number | 032139 |
| Number of pages | 5 |
| Journal | Physical Review E |
| Volume | 98 |
| Issue number | 3 |
| Early online date | 27 Sept 2018 |
| DOIs | |
| Publication status | Published - 27 Sept 2018 |
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HPC (High Performance Computing) and HTC (High Throughput Computing) Facilities
Alam, S. R. (Manager), Williams, D. A. G. (Manager), Eccleston, P. E. (Manager) & Greene, D. (Manager)
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Dr Martin M A Sieber
- School of Mathematics - Reader in Applied Mathematics
- Applied Mathematics
- Mathematical Physics
Person: Academic , Member