711 citations · 2.4k across the 77 of their papers we have counts for
7 papers · 1 filter
A high-order regularized delta-Chebyshev method for computing spectral densities
Jinjing Yi, Daniel Massatt, Andrew Horning +3
We introduce a numerical method for computing spectral densities, and apply it to the evaluation of the local density of states (LDOS) of sparse Hamiltonians derived from tight-bin…
An Atomic Cluster Expansion Potential for Twisted Multilayer Graphene
Yangshuai Wang, Drake Clark, Sambit Das +5
Twisted multilayer graphene, characterized by its moiré patterns arising from inter-layer rotational misalignment, serves as a rich platform for exploring quantum phenomena. Machin…
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides
Jung Heon Song, Matthias Maier, Mitchell Luskin
We discuss a quartic eigenvalue problem arising in the context of an optical waveguiding problem involving atomically thick 2D materials. The waveguide configuration we consider co…
Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets
Jung Heon Song, Matthias Maier, Mitchell Luskin
We discuss analytically and numerically the propagation and energy transmission of electromagnetic waves caused by the coupling of surface plasmon polaritons (SPPs) between two spa…
Energy minimization of 2D incommensurate heterostructures
Paul Cazeaux, Mitchell Luskin, Daniel Massatt
We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern…
Generation of surface plasmon-polaritons by edge effects
Matthias Maier, Dionisios Margetis, Mitchell Luskin
By using numerical and analytical methods, we describe the generation of fine-scale lateral electromagnetic waves, called surface plasmon-polaritons (SPPs), on atomically thick, me…
Spin-Diffusions and Diffusive Molecular Dynamics
Brittan A Farmer, Mitchell Luskin, Petr Plecháč +1
Metastable condensed matter typically fluctuates about local energy minima at the femtosecond time scale before transitioning between local minima after nanoseconds or microseconds…