Coupled wire models of new quantum Hall states and fractional topological insulators
The coupled wire construction has been widely applied in the theory of topological phases. It provided exactly solvable models of the fractional quantum Hall states, such as the Laughlin, Moore-Read and Read-Rezayi states, as well as interacting surface states of topological insulators and superconductors. In this talk, we focus on an exactly solvable description of topological phases of partons, which are fermionic division of the electron. They include the parton quantum Hall state at filling one-third, the parton Pfaffian state at filling one-sixth that is symmetric under a new notion of particle-hole symmetry, and surfaces and heterostructures of fractional topological insulators. We also discuss the application to new integer quantum Hall states and topological paramagnets.
Host: Tom Iadecola