Topological zero-dimensional defect and flux states in three-dimensional insulators
In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …
the bulk can bind topological electronic states. We here further extend the classification of …
Interacting topological quantum chemistry in 2D with many-body real space invariants
The topological phases of non-interacting fermions have been classified by their
symmetries, culminating in a modern electronic band theory where wavefunction topology …
symmetries, culminating in a modern electronic band theory where wavefunction topology …
“Quantum Geometric Nesting” and Solvable Model Flat-Band Systems
We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
Superfluid weight bounds from symmetry and quantum geometry in flat bands
Flat-band superconductivity has theoretically demonstrated the importance of band topology
to correlated phases. In two dimensions, the superfluid weight, which determines the critical …
to correlated phases. In two dimensions, the superfluid weight, which determines the critical …
Three-dimensional real space invariants, obstructed atomic insulators and a new principle for active catalytic sites
Topologically trivial insulators come in two kinds: atomic, where the Wannier charge centers
(WCCs) are localized on the atoms, and obstructed atomic, where the WCCs are located …
(WCCs) are localized on the atoms, and obstructed atomic, where the WCCs are located …
Interaction-induced crystalline topology of excitons
We apply the topological theory of symmetry indicators to interaction-induced exciton band
structures in centrosymmetric semiconductors. Crucially, we distinguish between the …
structures in centrosymmetric semiconductors. Crucially, we distinguish between the …
Orbital Shift‐Induced Boundary Obstructed Topological Materials with a Large Energy Gap
Boundary obstructed topological phases caused by Wannier orbital shift between ordinary
atomic sites are proposed, which, however, cannot be indicated by symmetry eigenvalues at …
atomic sites are proposed, which, however, cannot be indicated by symmetry eigenvalues at …
Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
Transitions between distinct obstructed atomic insulators (OAIs) protected by crystalline
symmetries, where electrons form molecular orbitals centering away from the atom positions …
symmetries, where electrons form molecular orbitals centering away from the atom positions …
Ferroelectric higher-order topological insulator in two dimensions
The interplay between ferroelectricity and band topology can give rise to a wide range of
both fundamental and applied research. Here, we map out the emergence of nontrivial …
both fundamental and applied research. Here, we map out the emergence of nontrivial …
Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
Pontrjagin's seminal topological classification of two-band Hamiltonians in three momentum
dimensions is hereby enriched with the inclusion of crystallographic rotational symmetry …
dimensions is hereby enriched with the inclusion of crystallographic rotational symmetry …