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Alexander B Watson
Alexander B Watson
Assistant Professor, University of Minnesota
Verificeret mail på umn.edu - Startside
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Existence of the first magic angle for the chiral model of bilayer graphene
AB Watson, M Luskin
Journal of Mathematical Physics 62 (9), 2021
372021
Bistritzer–MacDonald dynamics in twisted bilayer graphene
AB Watson, T Kong, AH MacDonald, M Luskin
Journal of Mathematical Physics 64 (3), 2023
342023
Edge state dynamics along curved interfaces
G Bal, S Becker, A Drouot, CF Kammerer, J Lu, AB Watson
SIAM Journal on Mathematical Analysis 55 (5), 4219-4254, 2023
242023
Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing
A Watson, MI Weinstein
Communications in Mathematical Physics 363, 655-698, 2018
202018
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
MJ Colbrook, A Horning, K Thicke, AB Watson
IMA Journal of Applied Mathematics 88 (1), 1-42, 2023
192023
Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature
AB Watson, J Lu, MI Weinstein
Journal of Mathematical Physics 58 (2), 2017
172017
Mathematical aspects of the Kubo formula for electrical conductivity with dissipation
AB Watson, D Margetis, M Luskin
Japan Journal of Industrial and Applied Mathematics 40 (3), 1765-1795, 2023
162023
Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher
J Lu, KD Stubbs, AB Watson
Archive for Rational Mechanics and Analysis 243 (3), 1269-1323, 2022
132022
Iterated projected position algorithm for constructing exponentially localized generalized Wannier functions for periodic and nonperiodic insulators in two dimensions and higher
KD Stubbs, AB Watson, J Lu
Physical Review B 103 (7), 075125, 2021
132021
Wave-packet propagation in a finite topological insulator and the spectral localizer index
J Michala, A Pierson, TA Loring, AB Watson
Involve, a Journal of Mathematics 14 (2), 209-239, 2021
122021
Computing edge states without hard truncation
K Thicke, AB Watson, J Lu
SIAM Journal on Scientific Computing 43 (2), B323-B353, 2021
112021
Dirac operators and domain walls
J Lu, AB Watson, MI Weinstein
SIAM Journal on Mathematical Analysis 52 (2), 1115-1145, 2020
82020
Locality of the windowed local density of states
TA Loring, J Lu, AB Watson
Numerische Mathematik 156 (2), 741-775, 2024
72024
Defect resonances of truncated crystal structures
J Lu, JL Marzuola, AB Watson
SIAM Journal on Applied Mathematics 82 (1), 49-74, 2022
62022
Modeling of electronic dynamics in twisted bilayer graphene
T Kong, D Liu, M Luskin, AB Watson
SIAM Journal on Applied Mathematics 84 (3), 1011-1038, 2024
52024
Dirac cones and magic angles in the Bistritzer--MacDonald TBG Hamiltonian
S Becker, S Quinn, Z Tao, A Watson, M Yang
arXiv preprint arXiv:2407.06316, 2024
42024
On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform
D Margetis, AB Watson, M Luskin
Studies in Applied Mathematics 151 (2), 555-584, 2023
32023
Wave dynamics in locally periodic structures by multiscale analysis
AB Watson
Columbia University, 2017
32017
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit
M Hott, AB Watson, M Luskin
Archive for Rational Mechanics and Analysis 248 (6), 1-57, 2024
22024
Radiative transport in a periodic structure with band crossings
K Qi, L Wang, AB Watson
SIAM Journal on Applied Mathematics 85 (1), 314-340, 2025
2025
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