Daniel Massatt

Contact Info:

Address: Louisiana State University, Lockett Hall 344, Baton Rouge, LA 70802

Research Interests:

Numerical Analysis, Quantum Theory, Multiscale Modeling, Spectral Theory, Topological Insulators, Incommensurate Materials, Electronic Structure

Positions:

Assistant Professor, Mathematics Department - Louisiana State University, Baton Rouge, LA, USA [Aug. 2022 - Present]

Kruskal Instructor, Statistics Department - University of Chicago, Chicago, IL, USA [Sep. 2018 - Aug. 2022]

Paper Pre-Prints:

X. Quan, A. Watson, D. Massatt. Construction and Accuracy of Electronic Continuum Models of Incommensurate Bilayer 2D Materials. Pre-print: arXiv:2406.15712

D. Massatt, S. Shipman, I. Vekhter, J. Wilson. Defect bound states in the continuum without symmetry protection: bilayer graphene and beyond. Pre-print: arXiv:2312.16844

T. Wang, H. Chen, D. Massatt, Aihui Zhou and Yuzhi Zhou. Convergence of the Planewave Approximations for Quantum Incommensurate Systems. Pre-print: arXiv:2204.00994

S. Fang, S. Carr, Z. Zhu, D. Massatt, E. Kaxiras. Angle-Dependent Ab initio Low-Energy Hamiltonians for a Relaxed Twisted Bilayer Graphene Heterostructure. Pre-print: arXiv:1908.00058

Publications:

D. Massatt, S. Carr, M. Luskin. Electronic Observables for Relaxed Bilayer 2D Heterostructures in Momentum Space. Multiscale Modeling & Simulations 21:4, 1344-1378, 2023

D. Massatt, S. Quinn, P. Cazeaux, G. Bal. Mathematical models of topologically protected transpoert in twisted bilayer graphene. Multiscale Modeling & Simulations, 21:3, 1081-1121, 2023.

D. Massatt, G. Bal. Multiscale Invariants of Floquet Topological Insulators. Multiscale Modeling & Simulations, 20(1):493-523, 2022.

S. Etter, D. Massatt, M. Luskin, C. Ortner. Modeling and computation of Kubo conductivity for Two-Dimensional Incommensurate Bilayers. Multiscale Modeling & Simulation 18(4):1525-1564 December 2020. DOI: https://doi.org/10.1137/19M1273499

Z. Zu, S. Carr, D. Massatt, M. Luskin, E. Kaxiras. Twisted Trilayer Graphene: A Precisely Tunable Platform for Correlated Electrons. Phys. Rev. Lett. 125, 116404 - Sep. 2020. DOI: 10.1103/PhysRevLett.125.116404

S. Carr, D. Massatt, M. Luskin, E. Kaxiras. Duality between atomic configurations and Bloch states in twistronic materials. Phys. Rev. Research 2, 033162 - July 2020. DOI: 10.1103/PhysRevResearch.2.033162

D. Massatt, S. Carr, M. Luskin. Efficient computation of Kubo conductivity for incommensurate 2D heterostructures. Eur. Phys. J. B (2020) 93: 60 - April 2020. DOI: 10.1140/epjb/e2020-100518-7

P. Cazeaux, M. Luskin, D. Massatt. Energy Minimization of Two Dimensional Incommensurate Heterostructures. Arch Rational Mech Anal 235, 1289–1325 (2020). DOI: 10.1007/s00205-019-01444-y

S. Carr, D. Massatt, S. B. Torrisi, P. Cazeaux, M. Luskin, and E. Kaxiras. Relaxation and domain formation in incommensurate two-dimensional heterostructures. Phys. Rev. B 98, 224102, Dec 2018. DOI: 10.1103/PhysRevB.98.224102

Carr S., Massatt D., Fang S., Cazeaux P., Luskin M., Kaxiras E. (2018) Modeling Electronic Properties of Twisted 2D Atomic Heterostructures. In: Bonilla L., Kaxiras E., Melnik R. (eds) Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications. BIRS-16w5069 2016. Springer Proceedings in Mathematics & Statistics, vol 232. Springer, Cham. DOI: 10.1007/978-3-319-76599-0_13

D. Massatt, S. Carr, M. Luskin, and C. Ortner. Incommensurate Heterostructures in Momentum Space. Multiscale Modeling & Simulation 16:1, 429-451, 2018.

S. Carr, D. Massatt, S. Fang, P. Cazeaux, M. Luskin, and E. Kaxiras. Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle. Phys. Rev. B, 95:075420, Feb 2017. DOI: 10.1103/PhysRevB.95.075420

D. Massatt, M. Luskin, and C. Ortner. Electronic Density of States for Incommensurate Layers. Multi-scale Modeling & Simulation, 15(1):476-499, 2017. DOI: 10.1137/16M1088363

Courses Taught:

LOUISIANA STATE UNIVERSITY - COURSES TAUGHT:

Math 4325: Fourier Transforms [Spring 2024]

MATH 4024: Mathematical models [Spring 2024]

MATH 7382: Introduction to Applied Mathematics [Fall 2023]

MATH 4064: Numerical Linear Algebra [Fall 2023]

MATH 1551 Honors: Diffential and Integral Calculus [Fall 2022]

UNIVERSITY OF CHICAGO - COURSES TAUGHT:

STAT 251: INTRODUCTION TO MATHEMATICAL PROBABILITY [Fall 2018, Fall 2019, Fall 2020, Fall 2021]

MATH 211: BASIC NUMERICAL ANALYSIS [Spring 2019, Spring 2021, Spring 2022]

STAT 31610: MATHEMATICAL ASPECTS OF ELECTRONIC STRUCTURE OF MATERIALS [Fall 2020]