Comment on "Transverse Force on a Quantized Vortex in a Superfluid"

Details Comment on "Transverse Force on a Quantized Vortex in a Superfluid" Comment on "Transverse Force on a Quantized Vortex in a Superfluid"

1996-06-28

arxiv.org/abs/cond-mat/9606210v1

Phys. Rev. Lett. 77 (1996) 4687

Physics

Condensed Matter

revtex, 2 pages, submitted to Physical Review Letters as "Comment" to the paper D.J. Thouless, P. Ao and Q. Niu, Phys. Rev. Le

Scientific paper

10.1103/PhysRevLett.77.4687

The result of Thouless, Ao and Niu (TAN), that the mutual friction parameter $d_\perp =0$, contradicts to the experiments made in rotating 3He-B by Manchester group. The Manchester group observed that $d_\perp <0$ at low temperature and approaches 1 at high temperature. The reason of the contradiction is that TAN did not take into account the Iordanskii force on the vortex and the spectral flow force, which comes from the anomaly related to the low-energy bound states of fermions in cores of quantized vortices. The Iordanskii force is responsible for the negative $d_\perp <0$ at low temperature, while due to the spectral flow $d_\perp$ approaches 1 at high temperature. Relation of the spectral flow anomaly with the paradoxes of the linear and angular momenta in gapless superfluids is discussed.

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