Electrified magnetic catalysis in three-dimensional topological insulators

Abstract

The gap equations for the surface quasiparticle propagators in a slab of three-dimensional topological insulator in external electric and magnetic fields perpendicular to the slab surfaces are analyzed and solved. A different type of magnetic catalysis is revealed with the dynamical generation of both Haldane and Dirac gaps. Its characteristic feature manifests itself in the crucial role that the electric field plays in dynamical symmetry breaking and the generation of a Dirac gap in the slab. It is argued that, for a sufficiently large external electric field, the ground state of the system is a phase with a homogeneous surface charge density.

arXiv comment19 pages, 6 multipanel figures; published version

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Cited by in corpus (5)

• Magnetic Catalysis in Antiferromagnetic Films
• Nematic order on the surface of a three-dimensional topological insulator
• Excitonic gap generation in thin-film topological insulators
• Square-Lattice Antiferromagnet Subjected to a Magnetic Field Aligned with the Order Parameter
• Fermi surface instabilities of symmetry-breaking and topological types on the surface of a three-dimensional topological insulator