Inhomogeneous fixed point ensembles revisited
The density of states of disordered systems in the Wigner-Dyson classes approaches some finite non-zero value at the mobility edge, whereas the density of states in systems of the chiral and Bogolubov-de Gennes classes shows a divergent or vanishing behavior in the band centre. Such types of behavio...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2010
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| In: |
International journal of modern physics. B, Condensed matter physics etc.
Year: 2010, Volume: 24, Issue: 12/13, Pages: 1811-1822 |
| ISSN: | 1793-6578 |
| DOI: | 10.1142/S0217979210064617 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1142/S0217979210064617 Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S0217979210064617 
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| Author Notes: | Franz J. Wegner |
| Summary: | The density of states of disordered systems in the Wigner-Dyson classes approaches some finite non-zero value at the mobility edge, whereas the density of states in systems of the chiral and Bogolubov-de Gennes classes shows a divergent or vanishing behavior in the band centre. Such types of behavior were classified as homogeneous and inhomogeneous fixed point ensembles within a real-space renormalization group approach. For the latter ensembles, the scaling law µ = dν-1 was derived for the power laws of the density of states ρ ∝ |E|µ and of the localization length ξ ∝ |E|-ν. This prediction from 1976 is checked against explicit results obtained meanwhile. |
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| Item Description: | Version des gesehenen Artikels: 13. November 2018 Gesehen am 17.10.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1793-6578 |
| DOI: | 10.1142/S0217979210064617 |