711 citations · 2.4k across the 77 of their papers we have counts for
86 papers
Relaxation effects on Hartree-Fock ground states in twisted bilayer graphene at even integer fillings
Tianyu Kong, Alexander B. Watson, Lin Lin +2
A standard approach for studying magic angle twisted bilayer graphene (MATBG)'s correlated electronic phase diagram is to project the Coulomb interaction down to effective models o…
Relaxation-driven flat bands and topology in moiré transition metal dichalcogenide heterobilayers
Mitchell Luskin, Max Geier, Liang Fu +1
Moiré transition metal dichalcogenide (TMD) heterobilayers are commonly modeled by a continuum theory that yields topologically trivial bands, in contrast to their homobilayer coun…
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…
Interacting Twisted Bilayer Graphene with Systematic Modeling of Structural Relaxation
Tianyu Kong, Alexander B. Watson, Mitchell Luskin +1
Twisted bilayer graphene (TBG) has drawn significant interest due to recent experiments which show that TBG can exhibit strongly correlated behavior such as the superconducting and…
Higher-order continuum models for twisted bilayer graphene
Solomon Quinn, Tianyu Kong, Mitchell Luskin +1
The first-order continuum PDE model proposed by Bistritzer and MacDonald in \cite{bistritzer2011moire} accurately describes the single-particle electronic properties of twisted bil…
Mathematical foundations of phonons in incommensurate materials
Michael Hott, Alexander B. Watson, Mitchell Luskin
In some models, periodic configurations can be shown to be stable under, both, global or local perturbations. This is not the case for aperiodic media. The specific class…
Tunable atomically enhanced moiré Berry curvatures in twisted triple bilayer graphene
Konstantin Davydov, Ziyan Zhu, Noah Friedman +8
We report a twisted triple bilayer graphene platform consisting of three units of Bernal bilayer graphene consecutively twisted at 1.49° and 1.68°. We demonstrate the atomic recons…
Learning the local density of states of a bilayer moiré material in one dimension
Diyi Liu, Alexander B. Watson, Michael Hott +2
Recent work of three of the authors showed that the operator which maps the local density of states of a one-dimensional untwisted bilayer material to the local density of states o…
Electron Collimation in Twisted Bilayer Graphene via Gate-defined Moiré Barriers
Wei Ren, Xi Zhang, Ziyan Zhu +6
Electron collimation via a graphene pn-junction allows electrostatic control of ballistic electron trajectories akin to that of an optical circuit. Similar manipulation of novel co…
Tunable Inter-Moiré Physics in Consecutively-Twisted Trilayer Graphene
Wei Ren, Konstantin Davydov, Ziyan Zhu +6
We fabricate a twisted trilayer graphene device with consecutive twist angles of 1.33 and 1.64 degrees, in which we electrostatically tune the electronic states from each of the tw…
Modeling of electronic dynamics in twisted bilayer graphene
Tianyu Kong, Diyi Liu, Mitchell Luskin +1
We consider the problem of numerically computing the quantum dynamics of an electron in twisted bilayer graphene. The challenge is that atomic-scale models of the dynamics are aper…
From incommensurate bilayer heterostructures to Allen-Cahn: An exact thermodynamic limit
Michael Hott, Alexander B. Watson, Mitchell Luskin
We give a complete and rigorous derivation of the mechanical energy for twisted 2D bilayer heterostructures without any approximation beyond the existence of an empirical many-body…
Mathematical aspects of the Kubo formula for electrical conductivity with dissipation
Alexander B. Watson, Dionisios Margetis, Mitchell Luskin
In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-inter…
Relaxation and domain wall structure of bilayer moire systems
Paul Cazeaux, Drake Clark, Rebecca Engelke +2
Moire patterns result from setting a 2D material such as graphene on another 2D material with a small twist angle or from the lattice mismatch of 2D heterostructures. We present a…
On the Su-Schrieffer-Heeger model of electron transport: low-temperature optical conductivity by the Mellin transform
Dionisios Margetis, Alexander B. Watson, Mitchell Luskin
We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain. To this end, we invoke…
Seeing moiré: convolutional network learning applied to twistronics
Diyi Liu, Mitchell Luskin, Stephen Carr
Moiré patterns made of two-dimensional (2D) materials represent highly tunable electronic Hamiltonians, allowing a wide range of quantum phases to emerge in a single material. Curr…
Bistritzer-MacDonald dynamics in twisted bilayer graphene
Alexander B. Watson, Tianyu Kong, Allan H. MacDonald +1
The Bistritzer-MacDonald (BM) model, introduced in \cite{Bistritzer2011}, attempts to capture the electronic properties of twisted bilayer graphene (TBG), even at incommensurate tw…
Electronic Observables for Relaxed Bilayer 2D Heterostructures in Momentum Space
Daniel Massatt, Stephen Carr, Mitchell Luskin
Momentum space transformations for incommensurate 2D electronic structure calculations are fundamental for reducing computational cost and for representing the data in a more physi…
Gate-tunable Veselago Interference in a Bipolar Graphene Microcavity
Xi Zhang*, Wei Ren*, Elliot Bell +6
The relativistic charge carriers in monolayer graphene can be manipulated in manners akin to conventional optics (electron-optics): angle-dependent Klein tunneling collimates an el…
Existence of the first magic angle for the chiral model of bilayer graphene
Alexander B. Watson, Mitchell Luskin
We consider the chiral model of twisted bilayer graphene introduced by Tarnopolsky-Kruchkov-Vishwanath (TKV). TKV have proved that for inverse twist angles such that the effect…
Dipole excitation of collective modes in viscous two-dimensional electron systems
Vera Andreeva, Denis A. Bandurin, Mitchell Luskin +1
We describe the structure of the time-harmonic electromagnetic field of a vertical Hertzian electric dipole source radiating over an infinite, translation invariant two-dimensional…
Twisted Trilayer Graphene: a Precisely Tunable Platform for Correlated Electrons
Ziyan Zhu, Stephen Carr, Daniel Massatt +2
We introduce twisted trilayer graphene (tTLG) with two independent twist angles as an ideal system for the precise tuning of the electronic interlayer coupling to maximize the effe…
Finite-size effects in wave transmission through plasmonic crystals: A tale of two scales
Matthias Maier, Mitchell Luskin, Dionisios Margetis
We study optical coefficients that characterize wave propagation through layered structures called plasmonic crystals. These consist of a finite number of stacked metallic sheets e…