The mobility edge problem: Continuous symmetry and a conjecture
Purchase on Springer.com
$39.95 / €34.95 / £29.95 *
* Final gross prices may vary according to local VAT.
An apparently overlooked symmetry of the disordered electron problem is derived. It yields the well-known Ward-identity connecting the one- and two-particle Green's function. This symmetry and the apparent shortrange behaviour of the averaged one-particle Green's function are used to conjecture that the critical behaviour near the mobility edge coincides with that of interacting matrices which have two different eigenvalues of multiplicity zero (due to replicas). As a consequence the exponents of the d.c. conductivity is expected to approach 1 for real matrices and 1/2 for complex matrices as the dimensionality of the system approaches two from above. In two dimensions no metallic conductivity is expected.
Supplementary Material (0)
About this Article
- The mobility edge problem: Continuous symmetry and a conjecture
Zeitschrift für Physik B Condensed Matter
Volume 35, Issue 3 , pp 207-210
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- Author Affiliations