Real-space topological invariant for time-quasiperiodic Majorana modes

Z Qi, I Na, G Refael, Y Peng - Physical Review B, 2024 - APS
When subjected to quasiperiodic driving protocols, superconducting systems have been
found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond …

Local invariants identify topology in metals and gapless systems

A Cerjan, TA Loring - Physical Review B, 2022 - APS
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 …

An operator-based approach to topological photonics

A Cerjan, TA Loring - Nanophotonics, 2022 - degruyter.com
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 …

Revealing topology in metals using experimental protocols inspired by K-theory

W Cheng, A Cerjan, SY Chen, E Prodan… - Nature …, 2023 - nature.com
Topological metals are conducting materials with gapless band structures and nontrivial
edge-localized resonances. Their discovery has proven elusive because traditional …

Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk

H Liu, IC Fulga - Physical Review B, 2023 - APS
We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian
topology on their boundaries. As a consequence, removing a boundary hopping from the …

Probing topology in nonlinear topological materials using numerical -theory

S Wong, TA Loring, A Cerjan - Physical Review B, 2023 - APS
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 …

Classifying topology in photonic heterostructures with gapless environments

KY Dixon, TA Loring, A Cerjan - Physical Review Letters, 2023 - APS
Photonic topological insulators exhibit bulk-boundary correspondence, which requires that
boundary-localized states appear at the interface formed between topologically distinct …

Local markers for crystalline topology

A Cerjan, TA Loring, H Schulz-Baldes - Physical Review Letters, 2024 - APS
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 …

Non-commutative Chern numbers for generic aperiodic discrete systems

C Bourne, E Prodan - Journal of Physics A: Mathematical and …, 2018 - iopscience.iop.org
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 …

Classifying topology in photonic crystal slabs with radiative environments

S Wong, TA Loring, A Cerjan - npj Nanophotonics, 2024 - nature.com
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 …