6 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…
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…
Dimensional crossover of class D real-space topological invariants
Martin Rodriguez-Vega, Terry A. Loring, Alexander Cerjan
The topological properties of a material depend on its symmetries, parameters, and spatial dimension. Changes in these properties due to parameter and symmetry variations can be un…
Classification of Fragile Topology Enabled by Matrix Homotopy
Ki Young Lee, Stephan Wong, Sachin Vaidya +2
The moire flat bands in twisted bilayer graphene have attracted considerable attention not only because of the emergence of correlated phases but also due to their nontrivial topol…
Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical -Theory
Alexander Cerjan, Terry A. Loring
Recently, the spectral localizer framework has emerged as an efficient approach to classifying topology in photonic systems featuring local nonlinearities and radiative environment…