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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.
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publications
Matrix Elements of One Dimensional Explicitly Correlated Gaussian Basis Functions
Published in Few-Body Systems, 2020
Developed a novel method for calculating matrix elements used in calculations of cold atom systems.
Recommended citation: Timothy Zaklama et al., "Matrix Elements of One Dimensional Explicitly Correlated Gaussian Basis Functions." Few-Body Systems, 2020.
Energy spectrum and structure of confined one-dimensional few-electron systems with and without coupling to light in a cavity
Published in Physical Review E, 2020
Simulation of hydrogen atom in a laser field using the time dependent variational principle. First such simulation of a 3-dimensional helium atom in an electric field without traditional approximation methods.
Recommended citation: Timothy Zaklama et al., "Energy spectrum and structure of confined one-dimensional few-electron systems with and without coupling to light in a cavity." Physical Review E, 2020.
Nonmonotonic Band Flattening near the Magic Angle of Twisted Bilayer MoTe2
Published in Physical Review B, 2024
Study of nonmonotonic band flattening phenomena near the magic angle in twisted bilayer MoTe2.
Recommended citation: Timothy Zaklama et al., "Nonmonotonic Band Flattening near the Magic Angle of Twisted Bilayer MoTe2." Physical Review B, 2024.
Self-attention neural network for solving correlated electron problems in solids
Published in Physical Review X, 2024
A self-attention neural network approach to solving correlated electron problems in solid-state systems.
Recommended citation: Timothy Zaklama et al., "Self-attention neural network for solving correlated electron problems in solids." Physical Review X, 2024.
Structure factor and topological bound of twisted bilayer semiconductors at fractional fillings
Published in Physical Review B, 2025
We numerically calculate the full static structure factor to reveal a topological phase transition between a fractional Chern insulator (FCI) and a generalized Wigner crystal (GWC). We further calculate the quantum weight of various FCI states, verifying the universal topological bound for interacting systems. Our findings provide insights into the phase diagram of twisted TMDs and establish a general framework for characterizing topological phases through structure factor analysis.
Recommended citation: Timothy Zaklama, Di Luo, and Liang Fu, "Structure factor and topological bound of twisted bilayer semiconductors at fractional fillings." Physical Review B, 2025. [https://doi.org/10.1103/wlvf-tdq1](https://doi.org/10.1103/wlvf-tdq1)
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teaching
Head Teaching Assistant, Statistical Mechanics
Graduate course, Massachusetts Institute of Technology, Department of Physics, 2022
Head TA for the graduate Statistical Mechanics course at MIT. Responsibilities include leading recitation sections, holding office hours, and coordinating the teaching assistant team.