711 citations · 1.7k across the 15 of their papers we have counts for
17 papers
Driven-Dissipative Ground State Preparation: Mixing Time and Randomness
Paul Cazeaux, Marius Junge, Diyi Liu
Dissipative protocols offer a route to ground state preparation that does not require a large initial overlap with the ground state. To move beyond time independent Lindbladians an…
Linear-Scaling Tensor Train Sketching
Paul Cazeaux, Mi-Song Dupuy, Rodrigo Figueroa Justiniano
We introduce the TTStack sketch, a structured random projection tailored to the tensor train (TT) format that unifies existing TT-adapted sketching operators. By varying two intege…
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
Guillaume Bal, Paul Cazeaux, Daniel Massatt +1
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points in the dispersion relation of tig…
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…
Mathematical models of topologically protected transport in twisted bilayer graphene
Guillaume Bal, Paul Cazeaux, Daniel Massatt +1
Twisted bilayer graphene gives rise to large moiré patterns that form a triangular network upon mechanical relaxation. If gating is included, each triangular region has gapped elec…
Randomized algorithms for rounding in the Tensor-Train format
Hussam Al Daas, Grey Ballard, Paul Cazeaux +5
The Tensor-Train (TT) format is a highly compact low-rank representation for high-dimensional tensors. TT is particularly useful when representing approximations to the solutions o…
Moiré of Moiré: Modeling Mechanical Relaxation in Incommensurate Trilayer van der Waals Heterostructures
Ziyan Zhu, Paul Cazeaux, Mitchell Luskin +1
The incommensurate stacking of multi-layered two-dimensional materials is a challenging problem from a theoretical perspective and an intriguing avenue for manipulating their physi…
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…
Relaxation and Domain Formation in Incommensurate 2D Heterostructures
Stephen Carr, Daniel Massatt, Steven B. Torrisi +3
We introduce configuration space as a natural representation for calculating the mechanical relaxation patterns of incommensurate two-dimensional (2D) bilayers, bypassing supercell…
Atomic and electronic reconstruction at van der Waals interface in twisted bilayer graphene
Hyobin Yoo, Rebecca Engelke, Stephen Carr +14
Control of the interlayer twist angle in two-dimensional (2D) van der Waals (vdW) heterostructures enables one to engineer a quasiperiodic moiré superlattice of tunable length scal…
Compression of Wannier functions into Gaussian-type orbitals
Bakhta Athmane, Cancès Eric, Cazeaux Paul +2
We propose a greedy algorithm for the compression of Wannier functions into Gaussian-polynomials orbitals. The so-obtained compressed Wannier functions can be stored in a very comp…
Quantum plasmons with optical-range frequencies in doped few-layer graphene
Sharmila N. Shirodkar, Marios Mattheakis, Paul Cazeaux +3
Although plasmon modes exist in doped graphene, the limited range of doping achieved by gating restricts the plasmon frequencies to a range that does not include visible and infrar…
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…
Projective multiscale time-integration for electrostatic particle-in-cell methods
Paul Cazeaux, Jan S. Hesthaven
The simulation of problems in kinetic plasma physics are often challenging due to strongly coupled phenomena across multiple scales. In this work, we propose a wavelet-based coarse…
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…
Application of Hierarchical Matrix Techniques To The Homogenization of Composite Materials
Paul Cazeaux, Olivier Zahm
In this paper, we study numerical homogenization methods based on integral equations. Our work is motivated by materials such as concrete, modeled as composites structured as rando…