Berry phase and spin quantum Hall effect in the vortex state of superfluid 3He 
in two dimensions

Goryo, J.; Kohmoto, M.

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Berry phase and spin quantum Hall effect in the vortex state of superfluid ³He in two dimensions

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Goryo, J.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Goryo, J., & Kohmoto, M. (2002). Berry phase and spin quantum Hall effect in the vortex state of superfluid ³He in two dimensions. Physical Review B, 66(17): 174503. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000066000017174503000001&idtype=cvips&gifs=yes.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-36A5-1

Abstract

We show that the spin quantum Hall effect in the vortex state of two-dimensional rotating superfluid He-3 can be described as an adiabatic spin transport of Bloch quasiparticles. We show that the spin Hall conductivity is written by the Berry phase as well as the Chern number. The results have similarity to the adiabatic pumping of Bloch electrons and the spontaneous polarization in crystalline dielectrics.