State Space for Planar Majorana Zero Modes

Abstract

Zero modes arising from a planar Majorana equation in the presence of $N$ vortices require an $\mathcal{N}$-dimensional state-space, where $\mathcal{N}=2^{N/2}$ for $N$ even and $\mathcal{N}=2^{(N+1)/2}$ for $N$ odd. The mode operators form a restricted $\mathcal{N}$-dimensional Clifford algebra.

6 pages, no figures

References in corpus (2)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator

Cited by in corpus (4)

• Non-Abelian statistics of vortices with multiple Majorana fermions
• Elementary derivation of the stacking rules of invertible fermionic topological phases in one dimension
• Majorana Zero-modes and Topological Phases of Multi-flavored Jackiw-Rebbi model
• Massless Majorana bispinors and two-qubit entangled state