Disentangling Interacting Symmetry-Protected Phases of Fermions in Two Dimensions

2018/06/30 by Tyler D. Ellison, Lukasz Fidkowski
Physics and Astronomy · #Black Holes and Theoretical Physics #Characterization (materials science) #Fermion #Quantum #Quantum many-body systems #Spectrum (functional analysis) #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevx.9.011016

published as Phys. Rev. X 9, 011016 (2019) · 17 + 13 pages, 16 figures, v3 published version

openalex created_date 2018/07/10 · openalex publication_date 2019/01/29 · arxiv created 2019/02/01 · arxiv updated 2019/02/05 · openalex updated_date 2026/08/06

Abstract

A new quantum-circuit-based approach to studying fermionic symmetry-protected topological phases could help researchers understand the classification and characterization of these exotic states of matter.

Citations

• Theory of twist liquids: Gauging an anyonic symmetry
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Translational Symmetry and Microscopic Constraints on Symmetry-Enriched Topological Phases: A View from the Surface
• Dimers on Surface Graphs and Spin Structures. I