Chiral viscoelastic response in Weyl semimetals
1 Department of Modern Physics, University of Science and Technology of China - Hefei 230026, China
2 National High Magnetic Field Laboratory, Florida State University - Tallahassee, FL 32306, USA
Received: 25 June 2014
Accepted: 16 October 2014
We investigate the viscoelastic response of the electronic degrees of freedom in three-dimensional Weyl semimetals and obtain the effective action for this response. This action is derived by adapting Fujikawa's method on chiral anomaly in curved space for the most general Hamiltonian of Weyl semimetals. We clarify that the Weyl semimetal phase will give rise to the nontrivial chiral viscoelastic effect due to the perturbations of the tetrad field in the elastic media, which indicates that the crystal dislocations in Weyl semimetals will generate the energy-momentum current along the direction of dislocations which is analogous to the chiral magnetic effect predicted in electromagnetic response. And this nontrivial viscoelastic response can also be used to detect the properties of Weyl semimetals in the future.
PACS: 73.43.-f – Quantum Hall effects / 73.21.Ac – Multilayers / 62.20.D- – Elasticity
© EPLA, 2014