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19 April 2024 |
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Article overview
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Skyrmions and Hall Transport | Bom Soo Kim
; Alfred D. Shapere
; | Date: |
26 Jun 2015 | Abstract: | We derive a generalized set of Ward identities that captures the effects of
topological charge on 2+1 dimensional Hall transport. The Ward identities
follow from the momentum algebra, which includes a central extension
proportional to the topological charge density. In the presence of topological
objects like baby Skyrmions, the central term leads to a direct relation
between the thermal Hall conductivity and the charge density. This relation is
further extended in the presence of a magnetic field and a conserved current.
The topological charge density produces a distinct signature in the electric
Hall conductivity, which is identified in existing experimental data, and
yields further novel predictions. For isolated Skyrmions in insulating
materials, the Hall viscosity can be expressed in terms of the charge density,
thermal Hall conductivity and angular momentum, and could be determined by
measuring those quantities. | Source: | arXiv, 1506.8199 | Services: | Forum | Review | PDF | Favorites |
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