Surfaces and Slabs of Fractional Topological Insulator Heterostructures

Abstract

Fractional topological insulators (FTI) are electronic topological phases in $(3+1)$ dimensions enriched by time reversal (TR) and charge $U(1)$ conservation symmetries. We focus on the simplest series of fermionic FTI, whose bulk quasiparticles consist of deconfined partons that carry fractional electric charges in integral units of $e^{\ast }=e/(2n+1)$ and couple to a discrete ${\mathbb{Z}}_{2n+1}$ gauge theory. We propose massive symmetry preserving or breaking FTI surface states. Combining the long-ranged entangled bulk with these topological surface states, we deduce the novel topological order of quasi-$(2+1)$ dimensional FTI slabs as well as their corresponding edge conformal field theories.

7 pages, 1 figure

References in corpus (12)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Nearly-flat bands with nontrivial topology
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Fractional quantum Hall effect in the absence of Landau levels
• Condensate induced transitions between topologically ordered phases
• Fractional topological insulators in three dimensions
• Axion topological field theory of topological superconductors
• Fractional $S$-duality, Classification of Fractional Topological Insulators and Surface Topological Order

Cited by in corpus (6)

• Symmetric-Gapped Surface States of Fractional Topological Insulators
• Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases
• Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
• Fractionalizing Global Symmetry on Looplike Topological Excitations
• Paired parton quantum Hall states: a coupled wire construction
• A coupled wire description of surface $ADE$ topological orders