Simplified Topological Invariants for Interacting Insulators

2012/03/31 by Zhong Wang, Shou-Cheng Zhang · 10 citations
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #SPHERES #Symmetry protected topological order #Topological Materials and Phenomena #Topological entropy in physics #Topological insulator #Topological order #Topological quantum number #Topology (electrical circuits) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevx.2.031008

published as Phys. Rev. X 2, 031008 (2012) · Published version

arxiv created 2012/08/13 · openalex publication_date 2012/08/13 · arxiv updated 2012/08/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using topological invariants to classify and understand topological insulators is as natural and as fundamental as using genus to distinguish spheres from tea pots. Identifying and computing topological invariants for insulators with electron-electron interactions is, however, difficult. With analytical insight and skill, two physicists have succeeded in that task.

Citations

• Topological field theory of time-reversal invariant insulators
• Topological phases and the quantum spin Hall effect in three dimensions
• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Topological insulators and superconductors
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Time Reversal Polarization and a Z₂ Adiabatic Spin Pump
• The birth of topological insulators
• Exciton Condensation and Charge Fractionalization in a Topological Insulator Film
• Topological Insulators

Cited by

• Change of an insulator's topological properties by a Hubbard interaction
• Plutonium Hexaboride is a Correlated Topological Insulator
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Fate of Fermi-arc states in gapped Weyl semimetals under long-range interactions
• Unified bulk-boundary correspondence for band insulators
• End states in a one-dimensional topological Kondo insulator in large-Nlimit
• \mathbb Z₂ Green's function topology of Majorana wires
• Short-ranged interaction effects onZ2topological phase transitions
• First-Order Character and Observable Signatures of Topological Quantum Phase Transitions
• Collective modes in nodal line semimetals