39 citations · 63 across the 9 of their papers we have counts for
9 papers
Chiral limit of twisted trilayer graphene
Simon Becker, Tristan Humbert, Jens Wittsten +1
We initiate the mathematical study of the Bistritzer-MacDonald Hamiltonian for twisted trilayer graphene in the chiral limit (and beyond). We develop a spectral theoretic approach…
Dirac points for twisted bilayer graphene with in-plane magnetic field
Simon Becker, Maciej Zworski
We study Dirac points of the chiral model of twisted bilayer graphene (TBG) with constant in-plane magnetic field. For a fixed small magnetic field, we show that as the angle of tw…
Hofstadter butterflies and metal/insulator transitions for moiré heterostructures
Simon Becker, Lingrui Ge, Jens Wittsten
We consider a tight-binding model recently introduced by Timmel and Mele for strained moiré heterostructures. We consider two honeycomb lattices to which layer antisymmetric shear…
Magnetic slowdown of topological edge states
Guillaume Bal, Simon Becker, Alexis Drouot
We study the propagation of wavepackets along curved interfaces between topological, magnetic materials. Our Hamiltonian is a massive Dirac operator with a magnetic potential. We c…
Magnetic response of twisted bilayer graphene
Simon Becker, Jihoi Kim, Xiaowen Zhu
In this article, we analyse the Bistritzer--MacDonald (BM) model (also known as the continuum model) of twisted bilayer graphene (TBG) with an additional external magnetic field. W…
Vectorial near-field coupling
Martin Esmann, Simon F. Becker, Julia Witt +3
The coherent exchange of optical near fields between two neighboring dipoles plays an essential role for the optical properties, quantum dynamics and thus for the function of many…
Bridging Microscopic Nonlinear Polarizations toward Far-Field Second Harmonic Radiation
Kyungwan Yoo, Simon F. Becker, Martin Silies +3
Since the first observation of second harmonic generation (SHG), there have been extensive studies on this nonlinear phenomenon not only to clarify its physical origin but also to…
Wave front adaptation using a deformable mirror for adiabatic nanofocusing along an ultrasharp gold taper
Slawa Schmidt, Pascal Engelke, Bjoern Piglosiewicz +6
We describe and demonstrate the use of an adaptive wave front optimization scheme for enhancing the efficiency of adiabatic nanofocusing of surface plasmon polariton (SPP) waves al…
k-space Imaging of the Eigenmodes of Sharp Gold Tapers for Scanning Near-Field Optical Microscopy
Martin Esmann, Simon F. Becker, Bernard B. da Cunha +4
We investigate the radiation patterns of sharp conical gold tapers, designed as adiabatic nanofocusing probes for scanning near-field optical microscopy (SNOM). Field calculations…