Real-space topological invariant for time-quasiperiodic Majorana modes
When subjected to quasiperiodic driving protocols, superconducting systems have been
found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond …
found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond …
Local invariants identify topology in metals and gapless systems
Although topological band theory has been used to discover and classify a wide array of
novel topological phases in insulating and semimetal systems, it is not well suited to …
novel topological phases in insulating and semimetal systems, it is not well suited to …
An operator-based approach to topological photonics
Recently, the study of topological structures in photonics has garnered significant interest, as
these systems can realize robust, nonreciprocal chiral edge states and cavity-like confined …
these systems can realize robust, nonreciprocal chiral edge states and cavity-like confined …
Revealing topology in metals using experimental protocols inspired by K-theory
Topological metals are conducting materials with gapless band structures and nontrivial
edge-localized resonances. Their discovery has proven elusive because traditional …
edge-localized resonances. Their discovery has proven elusive because traditional …
Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian
topology on their boundaries. As a consequence, removing a boundary hopping from the …
topology on their boundaries. As a consequence, removing a boundary hopping from the …
Probing topology in nonlinear topological materials using numerical -theory
Nonlinear topological insulators have garnered substantial recent attention as they have
both enabled the discovery of new physics due to interparticle interactions, and may have …
both enabled the discovery of new physics due to interparticle interactions, and may have …
Classifying topology in photonic heterostructures with gapless environments
Photonic topological insulators exhibit bulk-boundary correspondence, which requires that
boundary-localized states appear at the interface formed between topologically distinct …
boundary-localized states appear at the interface formed between topologically distinct …
Local markers for crystalline topology
Over the last few years, crystalline topology has been used in photonic crystals to realize
edge-and corner-localized states that enhance light-matter interactions for potential device …
edge-and corner-localized states that enhance light-matter interactions for potential device …
Non-commutative Chern numbers for generic aperiodic discrete systems
The search for strong topological phases in generic aperiodic materials and meta-materials
is now vigorously pursued by the condensed matter physics community. In this work, we first …
is now vigorously pursued by the condensed matter physics community. In this work, we first …
Classifying topology in photonic crystal slabs with radiative environments
In the recent years, photonic Chern materials have attracted substantial interest as they
feature topological edge states that are robust against disorder, promising to realize defect …
feature topological edge states that are robust against disorder, promising to realize defect …