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19 April 2024
 
  » arxiv » 1506.8199

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Skyrmions and Hall Transport
Bom Soo Kim ; Alfred D. Shapere ;
Date 26 Jun 2015
AbstractWe 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
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