Finitesize effects on the statistical angle of an electron induced dyon in proximity to a topological insulator
Abstract
A pointlike electric charge close to the surface of a threedimensional topological insulator induces a magnetic monopole mirror charge. We study the distance dependence of the statistical angle describing this induced dyon system. We find that the total angular momentum, which sometimes is used as the signature of the statistical angle, for an electron outside a finitesize spherical or tubeshaped topological insulator is zero for any finite distance between the electron and the surface. However, we show that in the twoelectron system one can indeed isolate a nontrivial statistical angle for intermediate size loops, that is, loops much larger than the distance of the charge to the sample but much smaller than the size of the sample. The necessity for this limit confirms the (2 + 1)dimensional nature of the nontrivial statistical angle found in previous work. Our results clarify the conditions under which the statistical angle of this system could be measured in real experiments.
 Publication:

Physical Review B
 Pub Date:
 November 2011
 DOI:
 10.1103/PhysRevB.84.195115
 arXiv:
 arXiv:1108.0700
 Bibcode:
 2011PhRvB..84s5115S
 Keywords:

 03.65.Vf;
 78.20.Ls;
 Phases: geometric;
 dynamic or topological;
 Magnetooptical effects;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 High Energy Physics  Theory
 EPrint:
 8 pages, 3 figures