Majorana Edge States for Z2 Topological Orders of the Wen-plaquette Model and the Toric-code Model

Abstract

In this paper we study the symmetry protected Majorana edge states for the Z2 topological order of the Wen-plaquette model and the toric-code model and calculate the dispersion of the Majorana edge states. For the system with translational symmetry, the Majorana edge states are gapless and have the nodal points at k=0 and k=pi. For the edge states of the toric-code model without translational symmetry, the edge modes become gapped.

9 pages, 12 figures

References in corpus (2)

• Mutual Chern-Simons theory for Z_2 topological order
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids

Cited by in corpus (8)

• Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
• Intrinsic sign problem in fermionic and bosonic chiral topological matter
• A (Dummy's) Guide to Working with Gapped Boundaries via (Fermion) Condensation
• Theory of weak symmetry breaking of translations in ${\mathbb{Z}}_2$ topologically ordered states and its relation to topological superconductivity from an exact lattice ${\mathbb{Z}}_2$ charge-flux attachment
• Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
• Geometric and computational aspects of chiral topological quantum matter
• Quantum spin liquid with 7 elementary particles
• Spin chains, defects, and quantum wires for the quantum-double edge