711 citations · 2.4k across the 77 of their papers we have counts for
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Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures
Eric Cancès, Paul Cazeaux, Mitchell Luskin
We give an exact formulation for the transport coefficients of incommensurate two-dimensional atomic multilayer systems in the tight-binding approximation. This formulation is base…
Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
Stephen Carr, Daniel Massatt, Shiang Fang +3
The ability in experiments to control the relative twist angle between successive layers in two-dimensional (2D) materials offers a new approach to manipulating their electronic pr…
Electronic Density of States for Incommensurate Layers
Daniel Massatt, Mitchell Luskin, Christoph Ortner
We prove that the electronic density of states (DOS) for 2D incommensurate layered structures, where Bloch theory does not apply, is well-defined as the thermodynamic limit of fini…
Analysis of rippling in incommensurate one-dimensional coupled chains
Paul Cazeaux, Mitchell Luskin, Ellad B. Tadmor
Graphene and other recently developed 2D materials exhibit exceptionally strong in-plane stiffness. Relaxation of few-layer structures, either free-standing or on slightly mismatch…
Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D
Andrew J. Binder, Mitchell Luskin, Christoph Ortner
The regular Cauchy--Born method is a useful and efficient tool for analyzing bulk properties of materials in the absence of defects. However, the method normally fails to capture s…
Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation
Matthias Maier, Dionisios Margetis, Mitchell Luskin
We formulate and validate a finite element approach to the propagation of a slowly decaying electromagnetic wave, called surface plasmon-polariton, excited along a conducting sheet…