Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-11-05
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 PRB pages
Scientific paper
10.1103/PhysRevB.77.064524
When physical systems are tunable by three classical parameters, level degeneracies may occur at isolated points in parameter space. A topological singularity in the phase of the degenerate eigenvectors exists at these points. When a path encloses such point, the accumulated geometrical phase is sensitive to its presence. Furthermore, surfaces in parameter space enclosing such point can be used to characterize the eigenvector singularities through their Chern indices, which are integers. They can be used to quantize a physical quantity of interest. This quantity changes continuously during an adiabatic evolution along a path in parameter space. Quantization requires to turn this path into a surface with a well defined Chern index. We analyze the conditions necessary to a {\em Topological Quantization by Controlled Paths}. It is applied to Cooper pair pumps. For more general problems, a set of four criteria are proposed to check if topological quantization is possible.
Leone Raphaël
Lévy Laurent
No associations
LandOfFree
Topological quantization by controlled paths: application to Cooper pairs pumps 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 Topological quantization by controlled paths: application to Cooper pairs pumps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological quantization by controlled paths: application to Cooper pairs pumps will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-659814