On the spectral gap in Andreev graphs

Details On the spectral gap in Andreev graphs On the spectral gap in Andreev graphs

2007-11-13

arxiv.org/abs/0711.1998v1

Physics

Condensed Matter

Superconductivity

18 pages, written for proceedings of "Analysis on Graphs and Applications" (program at the Isaac Newton Institute, Cambridge,

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the spectral gap in Andreev graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the spectral gap in Andreev graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectral gap in Andreev graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-270587