Fragile Mott Insulators

Abstract

We prove that there exists a class of crystalline insulators, which we call "fragile Mott insulators" which are not adiabatically connected to any sort of band insulator provided time-reversal and certain point-group symmetries are respected, but which are otherwise unspectacular in that they exhibit no topological order nor any form of fractionalized quasiparticles. Different fragile Mott insulators are characterized by different nontrivial one-dimensional representations of the crystal point group. We illustrate this new type of insulators with two examples: the d-Mott insulator discovered in the checkerboard Hubbard model at half-filling and the Affleck-Kennedy-Lieb-Tasaki insulator on the square lattice.

4 pages, 2 figures. Published version in PRL. The name "Weak Mott Insulators" is changed to "Fragile Mott Insulators" to avoid confusing in terminology

References in corpus (3)

• Rise and fall of hidden string order of lattice bosons
• Myriad phases of the Checkerboard Hubbard Model
• Realizing the strongly correlated $d$-Mott state in a fermionic cold atom optical lattice

Cited by in corpus (37)

• Topological Crystalline Insulators
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• The Hubbard Model
• Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
• Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals
• Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points
• Unconventional Surface Critical Behaviors Induced by Quantum Phase Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to Néel Order
• Entanglement Spectrum Classification of $C_n$-invariant Noninteracting Topological Insulators in Two Dimensions
• Symmetric tensor networks and practical simulation algorithms to sharply identify classes of quantum phases distinguishable by short-range physics
• Distinct trivial phases protected by a point-group symmetry in quantum spin chains
• Fragile topological phases in interacting systems
• Featureless and non-fractionalized Mott insulators on the honeycomb lattice at 1/2 site filling
• The Existence of Featureless Paramagnets on the Square and the Honeycomb Lattices in 2+1D
• Higher-Order Entanglement and Many-Body Invariants for Higher-Order Topological Phases
• Determinant Quantum Monte Carlo Study of d-wave pairing in the Plaquette Hubbard Hamiltonian
• Interacting topological quantum chemistry of Mott atomic limits
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Two-dimensional Valence Bond Solid (AKLT) states from $t_{2g}$ electrons
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• Electron phonon coupling in the topological heavy fermion model of twisted bilayer graphene
• Simulating a ring-like Hubbard system with a quantum computer
• On the possibility of many-body localization in a doped Mott insulator
• Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Pauli metallic ground-state in Hubbard clusters with Rashba spin-orbit coupling
• Rashba-metal to Mott-insulator transition
• Disorder effects on superconducting tendencies in the checkerboard Hubbard model
• Direct observation of fragile Mott insulators on plaquette Hubbard lattices
• Classification of trivial spin-1 tensor network states on a square lattice
• Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model
• Terminable Transitions in a Topological Fermionic Ladder
• The destiny of obstructed atomic insulator under correlation
• Interacting Crystalline Topological Insulators in two-dimensions with Time-Reversal Symmetry
• Kinetic Energy Driven Ferromagnetic Insulator
• Möbius molecules and fragile Mott insulators
• Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain