14 papers
Band Unfolding via the Quadratic Pseudospectrum
Christopher A. Bairnsfather, Ralph M. Kaufmann, Terry A. Loring +1
Band theory provides the foundation for understanding electronic structure in crystalline materials, but its reliance on exact translational symmetry limits its applicability to sy…
A Spatial Localizer for Electrons in Insulators
Haylen Gerhard, Yifan Wang, Alexander Cerjan +1
The location of electrons governs phenomena ranging from chemical bonding and electric polarization to the topological classification of band insulators and the emergence of correl…
Clifford spectrum of three 2 by 2 matrices
Alexander Cerjan, Vasile Lauric, Terry A. Loring
We prove that the Clifford spectrum associated to three 2 by 2 matrices is nonempty. The structure of Clifford is described in terms "moving" level curves. We discuss some implicat…
Efficient local classification of parity-based material topology
Stephan Wong, Ichitaro Yamazaki, Chris Siefert +3
Although the classification of crystalline materials can be generally handled by momentum-space-based approaches, topological classification of aperiodic materials remains an outst…
Probing Local Topology in a Disordered Higher-Order Topological Insulator
Johannes Düreth, Simon Widmann, Philipp Gagel +13
Higher-order topology is prized for its ability to realize lower-dimensional boundary states which are stable beyond fine-tuning. However, disorder presents a failure mechanism tha…
Topological photonic crystal fibre
Bofeng Zhu, Kevin Hean, Stephan Wong +8
Photonic crystal fibres (PCFs) are optical fibres that guide light using a modulated dielectric medium. They provide an exceptionally versatile platform for various applications, t…