Electromagnetic response of interacting Weyl semimetals

Understand

We study the electromagnetic properties of Weyl semimetals with strong interactions.

• Focusing on a single Weyl cone in the band structure, we induce strong interactions by coupling the Weyl fermion with a tunable coupling constant $g_f$ to a quantum critical system.
• The critical fluctuations are described by a conformal field theory containing fermionic operators with scaling dimension $\Delta$.
• Employing the methods of the holographic correspondence, we then derive the effective theory of the Weyl fermion in the presence of external electric and magnetic fields.