Many-body instabilities and mass generation in slow Dirac materials

Abstract

Some Kondo insulators are expected to possess topologically protected surface states with linear Dirac spectrum, the topological Kondo insulators. Because the bulk states of these systems typically have heavy effective electron masses, the surface states may exhibit extraordinarily small Fermi velocities that could force the effective fine structure constant of the surface states into the strong coupling regime. Using a tight-binding model we study the many-body instabilities of these systems and identify regions of parameter space in which the system exhibits spin density wave, and charge density wave order.

6 pages, 4 figures

References in corpus (8)

• The electronic properties of graphene
• Topological Insulators with Inversion Symmetry
• Dirac materials
• Is graphene in vacuum an insulator?
• Direct observation of the spin texture in strongly correlated SmB6 as evidence of the topological Kondo insulator
• Supercritical Coulomb center and excitonic instability in graphene
• Surface Theory of a Family of Topological Kondo Insulators
• Negative-U Superconductivity on the Surface of Topological Insulators

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• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Dirac node engineering and flat bands in doped Dirac materials
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Understanding the magnetic interactions of the zig-zag honeycomb lattice: Application to $\alpha$-RuCl${}_3$