Fractional charge, spin and statistics of solitons in superfluid <sup>3</sup>He film
G E Volovik; V M Yakovenko; G E Volovik; Landau Inst. for Theor. Phys., Moscow, USSR; V M Yakovenko; Landau Inst. for Theor. Phys., Moscow, USSR
Журнал:
Journal of Physics: Condensed Matter
Дата:
1989-08-07
Аннотация:
The topological Chern-Simons term with the parameter theta =n pi exists in the superfluid <sup>3</sup>He-A thin film, where an integer parameter n may be odd or even depending on the thickness of the film. The particle like soliton in <sup>3</sup>He-A film (so-called skyrmion) with integer topological charge Q has spin s=nQh(cross)/2 and obeys Fermi-Dirac quantum statistics at odd Q and n. The topological term in action leads to specific quantised Hall effect for spin current in <sup>3</sup>He-A. In the planar phase of the <sup>3</sup>He film the non-singular 4 pi spin disclination has the fractional fermion charge <sup>1</sup>/<sub>2</sub>n which corresponds to the fractional electric charge <sup>1</sup>/<sub>2</sub>en for the disclination in the planar state superconductor. The spin disclination in the <sup>3</sup>He-A<sub>1</sub> film has both the fractional spin <sup>1</sup>/<sub>4</sub>h(cross)n and fractional charge <sup>1</sup>/<sub>4</sub>n.
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