Landau levels in Weyl semimetal under uniaxial strain

The external strain can lead to the similar effect to the external applied magnetic field. Such pseudo magnetic field can be larger than typical magnetic fields, which gives the opportunity to experimentally study the Landau levels. In this paper we study the effects of uniaxial strain on the Weyl nodes, using continuum and lattice model. In the continuum model we show that the uniaxial strain leads to magnetic field renormalization, which in practice corresponds to the shift of the Landau levels to higher energy. We also investigate type-I and type-II Weyl nodes using lattice model. In this case, the magnetic field is introduced by the Pierels substitution, while uniaxial strain by the direction dependence of hopping integrals. This allowed us to probe the Landau level and system spectrum which takes form of Hofstadter butterfly. We show that the renormalization of magnetic field, similar to this observed in the continuum model, emerges.