Daniel Massatt

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

M. Tu, H. Chen, D. Massatt. Relaxation of Incommensurate Structures via Quantum Models.  arXiv:2606.31104

K. Beard, D. Massatt.  Momentum space algorithm for electronic structure of double-incommensurate trilayer graphene.  arXiv:2606.13434

G. Bal, P. Cazeaux, D. Massatt, S. Quinn. Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation. Pre-print: arXiv:2602.08073

E. Cancès, D. Massatt, L. Long, É. Polack, X. Quan. Numerical computation of the density of states of aperiodic multiscale Schrödinger operators. Pre-print: arXiv:2510.15369

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 

J. Yi, D. Massatt, A. Horning, M. Luskin, J. H. Pixley, and J. Kaye. A high-order regularized delta-chebyshev method for computing spectral densities. Journal of Computational Physics, page 115299,2026. DOI: https://doi.org/10.1016/j.jcp.2026.115299

Y. Wang, D. Clark, S. Das, Z. Zhu, D. Massatt, V. Gavin, M. Luskin, C. Ortner.  An Atomic Cluster Expansion Potential for Twisted Multilayer Graphene. Mach. Learn.: Sci. Technol. 6 045040 (2025)

Xue Quan, Alex Watson, Daniel Massatt. Construction and accuracy of electronic continuum models of incommensurate bilayer 2D materials. Electron. Struct. 7 035005, 2025, DOI: https://doi.org/10.1088/2516-1075/ae0545 

T. Wang, H. Chen, A. Zhou, Y. Zhou, D. Massatt. Convergence of the Planewave Approximations for Quantum Incommensurate Systems. Multiscale Modeling & Simulations, 23:1, 545-576, 2025

D. Massatt, S. Shipman, I. Vekhter, J. Wilson. Defect bound states in the continuum without symmetry protection: bilayer graphene and beyond. Phys. Rev. B 111, L060101, 2025

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 transport 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

• Name: Graduation Year Co-Mentor Current Position

• Weizhao Wang

• Bikash Thakur

• Gustavs Tobiss (LSU) Yuri Antipov

• Kenneth Beard 2026 Postdoc at Unversity of Utah

• Xue Quan (Beijing Normal) 2025 Huajie Chen Postdoc at Chinese Academy of Sciences

NEW JERSEY INSTITUTE OF TECHNOLOGY - COURSES TAUGHT:

Math 453: High Performance Computing [Spring 2025]

Math 631: Linear Algebra [Fall 2025]

LOUISIANA STATE UNIVERSITY -  COURSES TAUGHT:

Math 4325: Fourier Transforms [Spring 2024, Spring 2025]

MATH 4024: Mathematical models [Spring 2024]

MATH 7382: Introduction to Applied Mathematics [Fall 2023, Fall 2024]

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]