Work

Topological orders with classical Lie group symmetries from coupling electron wires

Year: 2025

Type: article

Abstract: We study the topological order that arises from chiral states with SU(N) or SO(N) edge-state symmetry. This extends our previous study of topological orders that descend from the bosonic ${E}_{8}$ quantum Hall state. We use exactly solvable models of coupled electron wires to construct states with $\mathrm{SU}{(m)}_{n}, \mathrm{SO}{(m)}_{n}$, or $\mathrm{Sp}{(m)}_{n}$ topological order for various levels $n$. We use our constructions to write down string operators for various non-Abelian anyons. We thereby provide a systematic, model derivation of quantum Hall states, topological superconductors, and spin liquids with emergent non-Abelian quasiparticle excitations, including those of Ising, metaplectic, and Fibonacci type.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.111.165140

Authors: Pak Kau Lim, Michael Mulligan, Jeffrey C. Y. Teo

Institutions: University of California, Riverside, Okinawa Institute of Science and Technology Graduate University, University of Virginia

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green