Berry phase and spin quantum Hall effect in the vortex state of superfluid He3 in two dimensions

Abstract

We show that the spin quantum Hall effect in the vortex state of two-dimensional rotating superfluid He3 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.

6 pages,1 figure, RevTex, minor corrections, To be published in Phys. Rev. B

References in corpus (5)

• Quasiparticle Hall Transport of d-wave Superconductors in Vortex State
• Polarization of Bloch electrons and Berry phase in the presence of electromagnetic fields
• Berry phase and quantized Hall effect in three-dimension
• Quasiparticle spectrum of d-wave superconductors in the mixed state: a large Fermi-velocity anisotropy study
• Chiral Correction to the Spin Fluctuation Feedback in two-dimensional p-wave Superconductors

Cited by in corpus (4)

• Topological invariance and global Berry phase in non-Hermitian systems
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry
• Quantized spin Hall effect in Helium three-A and other p-wave paired Fermi systems