Stability of Topological Insulators with Non-Abelian Edge Excitations
arXiv:1407.0582 · doi:10.1088/1751-8113/48/10/105404
Abstract
Chiral-antichiral pairs of non-Abelian Hall states, like the Pfaffian, Read-Rezayi and NASS states, can be used to model two-dimensional time-reversal invariant topological insulators. Their stability was shown to be associated to the presence of a Z_2 anomaly and characterized by the same Z_2 index introduced for free fermion and Abelian systems. In this work, we continue the stability analysis by providing the form of time-reversal invariant interactions that gap the non-Abelian edge excitations. Our approach is based on the description of non-Abelian states as projections of corresponding "parent" Abelian states.
arXiv comment33 pages, 1 figure; updated discussion of interactions
References in corpus (41)
- Topological insulators and superconductors
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators in Three Dimensions
- Topological Insulators with Inversion Symmetry
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Topological invariants of time-reversal-invariant band structures
- Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- The Quantum Spin Hall Effect: Theory and Experiment
- Braiding statistics approach to symmetry-protected topological phases
- Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
- 2D symmetry protected topological orders and their protected gapless edge excitations
- Fractional topological insulators
- On the classification of Quantum Spin Hall Models
- Protected edge modes without symmetry
- Interacting topological phases and modular invariance
- Classification and analysis of two dimensional abelian fractional topological insulators
- New Class of Non-Abelian Spin-Singlet Quantum Hall States
- Fractional topological liquids with time-reversal symmetry and their lattice realization
- Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
- Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
- A Time-Reversal Invariant Topological Phase at the Surface of a 3D Topological Insulator
- The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry
- Parafermion Hall states from coset projections of abelian conformal theories
- Spin Charge Separation in the Quantum Spin Hall State
- Conformal Symmetry and Universal Properties of Quantum Hall States
- Modular Invariant Partition Functions in the Quantum Hall Effect
- Non-Abelian spin-singlet quantum Hall states: wave functions and quasihole state counting
- Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
- Effective QED Actions: Representations, Gauge Invariance, Anomalies and Mass Expansions
- Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds
- Wavefunctions for topological quantum registers
- A Unified Conformal Field Theory Description of Paired Quantum Hall States
- Effective Field Theory and Projective Construction for the Z_k Parafermion Fractional Quantum Hall States
- CPT theorem and classification of topological insulators and superconductors
- Partition Functions of Non-Abelian Quantum Hall States
- The Z2-anomaly and boundaries of topological insulators
- Partition Functions and Stability Criteria of Topological Insulators
- Interacting and fractional topological insulators via the chiral anomaly