Induced quantum numbers in the (2+1)-dimensional electron gas

Details Induced quantum numbers in the (2+1)-dimensional electron gas Induced quantum numbers in the (2+1)-dimensional electron gas

1993-06-18

arxiv.org/abs/hep-th/9306092v1

Phys.Rev. D48 (1993) 1785-1791

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, REVTEX

Scientific paper

10.1103/PhysRevD.48.1785

A gas of electrons confined to a plane is examined in both the relativistic and nonrelativistic case. Using a (0+1)-dimensional effective theory, a remarkably simple method is proposed to calculate the spin density induced by an uniform magnetic background field. The physical properties of possible fluxon excitations are determined. It is found that while in the relativistic case they can be considered as half-fermions (semions) in that they carry half a fermion charge and half the spin of a fermion, in the nonrelativistic case they should be thought of as fermions, having the charge and spin of a fermion.

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