Simple Models for All Topological Phases

2016/02/16 by Chern, Tong
#FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Superconductivity (cond-mat.supr-con)

paper · doi:10.48550/arxiv.1602.05188

Abstract

We construct simple models for all topological phases of free fermions. These explicit models can realize all the nontrivial topological phases (with any possible topological invariant) of the periodic table. Many well known models for topological insulators and superconductors are special cases of our general constructions.

Related

• Introduction to some of the simplest topological phases of matter
• Exact Models for Symmetry-Protected Topological Phases in One Dimension
• Generalized Jackiw-Rebbi Model and Topological Classification of Free\n Fermion Insulators
• Subspace-Protected Topological Phases and Bulk-Boundary Correspondence
• Topological phases and quantum computation