Developing quantum simulations and AI methods for the Physical Sciences, Engineering and the Environment

We develop theory and computational methods, from quantum mechanics and relativistic methods to machine learning and AI, and apply them to problems in condensed matter physics, materials, engineering, energy, the environment and processes. We design, improve and understand quantum materials, quantum computing and sensing, clean energy, and bio-inspired research and health, often together with experimental partners.

The Mendoza Lab is a theory and computation group in the Department of Chemical Engineering and Materials Science at Michigan State University, with an affiliation in Physics and Astronomy. We work like renaissance scientists: problems are chosen for their importance, and we bring whatever physics, chemistry, mathematics or computer science they need. Since 2005 Prof. Mendoza-Cortés and his collaborators have published 69 peer-reviewed articles (37 of them since the lab moved to MSU in 2020), 7 preprints and 2 open textbooks, cited more than 10,000 times.

What we work on

Machine learning and AIInteratomic potentials trained on curvature, open reaction datasets, reproducible ML workflows and AI agents for chemistry and materials.2D materialsTwisted and stacked bilayers, 2D metal halides, defects and intercalation in atomically thin materials and devices.Fundamental physics and quantum sensingDiamond color centers with rare isotopes as sensors for physics beyond the Standard Model.CatalysisActive sites and mechanisms of electrocatalysts, photocatalysts, single-atom catalysts and molecular catalysts.Energy storageBatteries beyond lithium, solid and polymer electrolytes, and frameworks that store hydrogen and methane at room temperature.Energy conversionSolar fuels and artificial photosynthesis, fuel cells, hydrogen production, and materials that turn heat into work.Porous materialsCovalent and metal–organic frameworks: building units, adsorption theory, hydrogen storage and frameworks that conduct electricity.Quantum materialsTopological and Dirac materials, magnetism and spin, superconductivity and terahertz control of quantum phases.Interatomic potentials (force fields) and atomistic simulationFirst-principles, classical and machine-learned force fields, with Monte Carlo and molecular dynamics, from gas storage to fracture and molecular machines.High-throughput discovery and automationSearch algorithms, screening pipelines and automated simulation engines that find new materials and ligands.Mathematics of AIOrder theory, tropical algebra and combinatorics to understand, and build, neural networks.Quantum computingQuantum algorithms for physics and chemistry, circuits for the Dirac equation and open, executable textbooks.Quantum mechanicsElectronic-structure theory for molecules and solids: density-functional, wavefunction and many-body methods.Bio-inspired and healthCubane clusters in enzymes, mimics of the oxygen-evolving complex, antibacterial single-atom catalysts and cell metabolism.Crystal structure prediction and polymorphismHow molecules and atoms pack: crystal-structure prediction for energetic materials, polymorphs and phase transitions, and structures stabilized by strain.Clean energy and the environmentNegative-emissions chemistry, CO2 conversion, green ammonia and sustainable catalysts and polymers.PolymersHow polymers form and what they do: polymerization with aluminum catalysts, polymer electrolytes for batteries and hydrogel networks.Molecular machinesMolecules and crystals whose parts move in a controlled way: rotaxanes, frameworks with moving side chains and crystals that turn heat into motion.Relativistic quantum mechanicsFour-component and scalar-relativistic methods for heavy elements: actinide bonding, NMR of heavy-metal compounds and heavy-atom defects.Nuclear-waste separation and recoveryRelativistic design of ligands that separate and recover actinides from spent nuclear fuel and legacy radioactive waste.

Latest news

All news since 2005

Recent publications

All 92 publications

Join us. Ph.D. applicants can come through Chemical Engineering, Materials Science, Physics, Chemistry, CMSE, Mathematics and other MSU programs. Graduates of the group become academic descendants of Marie Curie and of Ralph Fowler, Paul Dirac's doctoral advisor, and anyone who publishes with us gets an Erdős number of at most 6. Read how to join.