Some Basic Aspects of Fractional Quantum Numbers

Details Some Basic Aspects of Fractional Quantum Numbers Some Basic Aspects of Fractional Quantum Numbers

2002-06-07

arxiv.org/abs/cond-mat/0206122v1

Physics

Condensed Matter

Commentary for the Volume, "Collected Works of J. Robert Schrieffer"; 22 pages, LaTeX; email correspondence to Frank Wilczek <

Scientific paper

I review why and how physical states with fractional quantum numbers can occur, emphasizing basic mechanisms in simple contexts. The general mechanism of charge fractionalization is the passage from states created by local action of fields to states having a topological character, which permits mixing between local and topological charges. The primeval case of charge fractionalization for domain walls, in polyacetylene and more generally, can be demonstrated convincingly using Schrieffer's intuitive counting argument, and derived formally from analysis of zero modes and vacuum polarization. An important generalization realizes chiral fermions on high-dimensional domain walls, in particular for liquid He3 in the A phase. In two spatial dimensions, fractionalization of angular momentum and quantum statistics occurs, for reasons that can be elucidated both abstractly, and specifically in the context of the quantum Hall effect.

Affiliated with

Also associated with

No associations

Rating

Some Basic Aspects of Fractional Quantum Numbers 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 Some Basic Aspects of Fractional Quantum Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Basic Aspects of Fractional Quantum Numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-355831