Relativistic free fermions in an elastic medium with screw dislocations
Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
2 Faculté Saint-Jean, University of Alberta, Edmonton, AB, T6C 4G9, Canada
* e-mail: email@example.com
Accepted: 27 October 2019
Published online: 23 January 2020
We study the Dirac equation for free fermions in an elastic medium with a linear topological defect or distortion analogous to a screw dislocation. We obtain its wave functions for free particle and the corresponding energy spectrum, as well as the fermionic current density. Furthermore, we provide the energy–momentum density for four well-known forms: Einstein, Landau–Lifshitz, Papapetrou and Bergmann–Thomson.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020