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Article overview
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Out-of-plane spin polarization of edge currents in Chern insulator with Rashba spin-orbit interaction | | Tsung-Wei Chen
; Chin-Lun Hsiao
; Chong-Der Hu
; | | Date: |
3 May 2016 | | Abstract: | We investigate the change in the non-zero Chern number and out-of-plane spin
polarization of the edge currents in a honeycomb lattice with the
Haldane-Rashba interaction. This interaction breaks the time-reversal symmetry
due to the Haldane phase caused by a current loop at site-I and -II atoms and
also accounts for the Rashba-type spin-orbit interaction. The Rashba spin-orbit
interaction increases the number of Dirac points and the band-touching
phenomenon can be generated by tuning the on-site potential in the non-zero
Haldane phase. By using the Pontryagin winding number and numerical Berry
curvature methods, we find that the Chern number pattern is ${+2, -1, 0}$ and
${-2, +1, 0}$ for the positive and negative Haldane phase, respectively. A
non-zero Chern number is called a Chern-insulating phase. We discovered that
changes in both the Haldane phase and on-site potential leads to a change in
the orientation of the bulk spin polarization of site-I and site-II atoms.
Interestingly, in a ribbon with a zigzag edge, which naturally has site-I atoms
at one outer edge and site-II atoms at the opposite outer edge, the spin
polarization of the edge states approximately obeys the properties of bulk spin
polarization regardless of the change in the Chern number. In addition, even
when the Chern number changes from $+2$ to $-1$ (or $-2$ to $+1$), by tuning
the strength of the on-site potential, the sign of the spin polarization of the
edge states persists. This approximate bulk-edge correspondence of the spin
polarization in the Haldane-Rashba system would play an important role in
spintronics, because it enables us to control the orientation of the spin
polarization in a single Chern-insulating phase. | | Source: | arXiv, 1605.0850 | | Services: | Forum | Review | PDF | Favorites | |
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