Interacting Weyl semimetals on a lattice

Abstract

Electron-electron interactions in a Weyl semimetal are rigorously investigated in a lattice model by non perturbative methods. The absence of quantum phase transitions is proved for interactions not too large and short ranged. The anisotropic Dirac cones persist with angles (Fermi velocities) renormalized by the interaction, and with generically shifted Fermi points. As in graphene, the optical conductivity shows universality properties: it is equal to the massless Dirac fermions one with renormalized velocities, up to corrections which are subdominant in modulus.

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Cited by in corpus (9)

• Universal optical conductivity of a disordered Weyl semimetal
• Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
• Gentle introduction to rigorous Renormalization Group: a worked fermionic example
• Stability of Weyl semimetals with quasiperiodic disorder
• Nonlocal electrodynamics in Weyl semi-metals
• Weyl semimetallic phase in an interacting lattice system
• A supersymmetric hierarchical model for weakly disordered $3d$ semimetals
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Anomaly non-renormalization in interacting Weyl semimetals