We study the presence of an external magnetic field, in combination with torsional strain, over the electron-phonon interactions in a type I Weyl semimetal. This particular superposition of field and strain, modeled in the continuum approximation by an effective gauge field, leads to an asymmetric pseudomagnetic field at each Weyl node of opposite chirality. Therefore, we also studied the role of nodal asymmetry in the properties of the system by means of the Kadanoff-Wilson renormalization group and the corresponding flow equations. By solving those, we discuss the evolution of the coupling parameters of the theory, and we analyze possible fixed points and lattice (Peierls) instabilities emerging from interactions between phonons with the chiral Landau level in the very strong pseudomagnetic field regime.

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• Charge density waves
• Landau levels
• Lattice dynamics
• Peierls transition
• Quantum field theory (low energy)
• Quasiparticles & collective excitations
• Stress
• Topological materials
• Green's function methods
• Many-body techniques
• Renormalization group