Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect

Details Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect

2006-10-06

arxiv.org/abs/hep-th/0610081v3

J.Phys.A40:10337-10348,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, RevTeX4, references added, small changes in the text

Scientific paper

10.1088/1751-8113/40/33/024

We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We make a transformation from the noncommutative coordinates to a set of commuting coordinates and then we write the Hamiltonian for this system. The energy spectrum and the expectation value of the current can then be calculated and the Hall conductivity can be extracted. We use the same method to calculate the phase shift for the Aharonov-Bohm effect. Precession measurements could allow strong upper limits to be imposed on the noncommutativity coordinate and momentum parameters $\Theta$ and $\Xi$.

Affiliated with

Also associated with

No associations

Rating

Noncommutative Quantum Hall Effect and Aharonov-Bohm 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 Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-489638