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The Iterated Projected Position Algorithm for Constructing Exponentially Localized Generalized Wannier Functions for Periodic and Non-Periodic Insulators in Two Dimensions and Higher
Kevin D. Stubbs, Alexander B. Watson, Jianfeng Lu
Localized bases play an important role in understanding electronic structure. In periodic insulators, a natural choice of localized basis is given by the Wannier functions which de…
Defect resonances of truncated crystal structures
Jianfeng Lu, Jeremy L. Marzuola, Alexander B. Watson
Defects in the atomic structure of crystalline materials may spawn electronic bound states, known as \emph{defect states}, which decay rapidly away from the defect. Simplified mode…
Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher
Jianfeng Lu, Kevin D. Stubbs, Alexander B. Watson
Exponentially-localized Wannier functions (ELWFs) are an orthonormal basis of the Fermi projection of a material consisting of functions which decay exponentially fast away from th…
Wave-packet propagation in a finite topological insulator and the spectral localizer index
Jonathan Michala, Alexander Pierson, Terry A. Loring +1
We consider a model of electrons in a finite topological insulator. We numerically study the propagation of electronic wave-packets localized near edges of the structure in the pre…