Journal article

### Spectral Rigidity and Eigenfunction Correlations at the Anderson Transition

Abstract:

The statistics of energy levels for a disordered conductor are considered in the critical energy window near the mobility edge. It is shown that, if critical wave functions are multifractal, the one-dimensional gas of levels on the energy axis is compressible'', in the sense that the variance of the level number in an interval is $< (\delta N)^{2} > = \chi$ for $>> 1$. The compressibility, $\chi=\eta/2d$, is given exactly'' in terms of the multifractal exponent \$\eta=d...

Publication status:
Published

Publisher copy:
10.1134/1.567208

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Role:
Author
Journal:
JETP Lett.
Volume:
64
Issue:
5
Pages:
386
Publication date:
1996-09-04
DOI:
EISSN:
1090-6487
ISSN:
0021-3640
URN:
uuid:43e2bfbc-569a-4bb2-8201-f7b00c2d12c8
Source identifiers:
23226
Local pid:
pubs:23226
Keywords: