The destiny of obstructed atomic insulator under correlation

Abstract

The obstructed atomic insulators are insulators with both atomic limits and boundary states. In this work, we study the obstructed atomic insulators under correlation. We use the symmetry indicators by constructing many-body wavefunctions in momentum space to prove the obstruction properties in different models including the SSH chain, anisotropic square lattice model, the quadrupole insulator model and etc. We demonstrate that the obstruction properties with boundary modes persist at large $U$ where the charge freedom is well-gapped, namely, this insulator phase can smoothly connect to its Mott phase without Mott transition.

5 pages, 5 figures and supplemental material

References in corpus (17)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• The space group classification of topological band insulators
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Simplified topological invariants for interacting insulators
• Topological invariants and interacting one-dimensional fermionic systems
• Unconventional Materials: the mismatch between electronic charge centers and atomic positions
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Topology invisible to eigenvalues in obstructed atomic insulators
• Interacting topological quantum chemistry of Mott atomic limits
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces

Cited by in corpus (2)

• Magnetic field filtering of the hinge supercurrent in unconventional metal NiTe${}_2$-based Josephson junctions
• Atomically thin obstructed atomic insulators with robust edge modes and quantized spin Hall effect