Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-01-18
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4+epsilon pages, 1 figure
Scientific paper
We consider the visco-elastic response of the electronic degrees of freedom in 2D and 3D topological insulators (TI). Our primary focus is on the 2D Chern insulator which exhibits a bulk dissipationless viscosity analogous to the quantum Hall viscosity predicted in integer and fractional quantum Hall states. We show that the dissipationless viscosity is the response of a TI to torsional deformations of the underlying lattice geometry. The visco-elastic response also indicates that crystal dislocations in Chern insulators will carry momentum density. We briefly discuss generalizations to 3D which imply that time-reversal invariant TI's will exhibit a quantum Hall viscosity on their surfaces.
Fradkin Eduardo
Hughes Taylor L.
Leigh Robert G.
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