Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order

2014/10/15 by David F. Mross, Andrew M. Essin, Andrew Essin +1 · 4 citations
Mathematics · Physics and Astronomy · #Composite number #Condensed matter physics #Dirac (video compression format) #Geometry #Materials science #Mathematics #Order (exchange) #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #Quantum mechanics #Surface (topology) #Surface states #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevx.5.011011

published as Phys. Rev. X 5, 011011 (2015) · 23 Pages, 5 figures

arxiv created 2014/10/15 · openalex publication_date 2015/02/05 · arxiv updated 2015/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Topological insulators in three dimensions famously support electronic Dirac cones at their boundary. Researchers show how interactions can effectively strip away their charge, yielding new correlated surface states featuring electrically neutral Dirac fermions.

Citations

• Topological phases and the quantum spin Hall effect in three dimensions
• Interaction effects on 3D topological superconductors: surface topological order from vortex condensation, the 16 fold way and fermionic Kramers doublets
• Antiferromagnetic crystalline topological insulators
• Antiferromagnetic topological insulators in cold atomic gases
• Classification of topological insulators and superconductors in three spatial dimensions
• Fractional Quantum Hall Effect in an Array of Quantum Wires
• From Luttinger liquid to non-Abelian quantum Hall states
• Topological insulators and superconductors
• Topological Insulators with Inversion Symmetry
• Topological Insulators
• Percolation, quantum tunnelling and the integer Hall effect
• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Non-Abelian anyons and topological quantum computation
• Nonabelions in the fractional quantum hall effect

Cited by

• Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
• From coupled wires to coupled layers: Model with three-dimensional fractional excitations
• Is the Composite Fermion a Dirac Particle?
• Bosonic Analogue of Dirac Composite Fermi Liquid