Experimental perspective on three-dimensional topological semimetals
Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …
structures, which are expected to give rise to gapless electronic excitations and topological …
Topological materials discovery from crystal symmetry
Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …
All topological bands of all nonmagnetic stoichiometric materials
Topological quantum chemistry and symmetry-based indicators have facilitated large-scale
searches for materials with topological properties at the Fermi energy (EF). We report the …
searches for materials with topological properties at the Fermi energy (EF). We report the …
Higher-order topological insulators and superconductors protected by inversion symmetry
E Khalaf - Physical Review B, 2018 - APS
We study surface states of topological crystalline insulators and superconductors protected
by inversion symmetry. These fall into the category of “higher-order” topological insulators …
by inversion symmetry. These fall into the category of “higher-order” topological insulators …
Average symmetry-protected topological phases
Symmetry-protected topological (SPT) phases are many-body quantum states that are
topologically nontrivial as long as the relevant symmetries are unbroken. In this work we …
topologically nontrivial as long as the relevant symmetries are unbroken. In this work we …
Lieb-Schultz-Mattis, Luttinger, and't Hooft-anomaly matching in lattice systems
M Cheng, N Seiberg - SciPost Physics, 2023 - scipost.org
We analyze lattice Hamiltonian systems whose global symmetries have't Hooft anomalies.
As is common in the study of anomalies, they are probed by coupling the system to classical …
As is common in the study of anomalies, they are probed by coupling the system to classical …
Higher-order bulk-boundary correspondence for topological crystalline phases
We study the bulk-boundary correspondence for topological crystalline phases, where the
crystalline symmetry is an order-two (anti) symmetry, unitary or antiunitary. We obtain a …
crystalline symmetry is an order-two (anti) symmetry, unitary or antiunitary. We obtain a …
Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
Strong and fragile topological Dirac semimetals with higher-order Fermi arcs
Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the
surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points …
surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points …
Symmetry indicators and anomalous surface states of topological crystalline insulators
The rich variety of crystalline symmetries in solids leads to a plethora of topological
crystalline insulators (TCIs), featuring distinct physical properties, which are conventionally …
crystalline insulators (TCIs), featuring distinct physical properties, which are conventionally …