On the spectral gap in Andreev graphs
| dc.creator | Flechsig, Holger | |
| dc.creator | Gnutzmann, Sven | |
| dc.date | 2007-11-13 | |
| dc.date.accessioned | 2026-07-07T08:42:39Z | |
| dc.date.available | 2026-07-07T08:42:39Z | |
| dc.description | We introduce Andreev scattering (electron-hole conversion at an interface of a normal conductor to a superconductor) at the outer vertices of a quantum star graph and examine its effect on the spectrum. More specifically we show that the density of states in Andreev graphs is suppressed near the Fermi energy where a spectral gap may occur. The size and existence of such a gap depends on one side on the Andreev scattering amplitudes and, on the other side,on the properties of the electron-electron scattering matrix at the central vertex. We also show that the bond length fluctuations have a minor effect on the spectrum near the Fermi energy. | |
| dc.description | 18 pages, written for proceedings of "Analysis on Graphs and Applications" (program at the Isaac Newton Institute, Cambridge, Jan-July 2007) | |
| dc.identifier | https://arxiv.org/abs/0711.1998 | |
| dc.identifier | http://arxiv.org/abs/0711.1998 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142038 | |
| dc.subject | Superconductivity | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mathematical Physics | |
| dc.title | On the spectral gap in Andreev graphs | |
| dc.type | text |