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math-ph2021★ 2 cited
Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators
Jianfeng Lu, Kevin D. Stubbs
For gapped periodic systems (insulators), it has been established that the insulator is topologically trivial (i.e., its Chern number is equal to ) if and only if its Fermi proj…
math-ph2020
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…
math-ph2018
On discrete Wigner transforms
Zhenning Cai, Jianfeng Lu, Kevin Stubbs
In this work, we derive a discrete analog of the Wigner transform over the space for any prime and any positive integer . We show that the Wigne…