Quantum graphs and the integer quantum Hall effect

Details Quantum graphs and the integer quantum Hall effect Quantum graphs and the integer quantum Hall effect

2007-09-11

arxiv.org/abs/0709.1567v1

Phys. Rev. B 77, 024302 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 9 figures

Scientific paper

10.1103/PhysRevB.77.024302

We study the spectral properties of infinite rectangular quantum graphs in the presence of a magnetic field. We study how these properties are affected when three-dimensionality is considered, in particular, the chaological properties. We then establish the quantization of the Hall transverse conductivity for these systems. This quantization is obtained by relating the transverse conductivity to topological invariants. The different integer values of the Hall conductivity are explicitly computed for an anisotropic diffusion system which leads to fractal phase diagrams.

Affiliated with

Also associated with

No associations

Rating

Quantum graphs and the integer quantum Hall effect 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 Quantum graphs and the integer quantum Hall effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum graphs and the integer quantum Hall effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-392132