News

Harshitra, Nish, and Dani develop Cell Natural Orbitals into a systematic local basis for quantum-material bands. Applied to twisted bilayer WSe₂, the construction identifies the orbitals needed to reproduce symmetry, charge density, and quantum geometry across twist angle.

Nish, Harshitra, and Dani introduce Cell Natural Orbitals, a local basis that organizes interactions in topological bands through the geometry of their wavefunctions. The construction exposes a hierarchy of interaction channels and connects band topology to real-space correlations.

Nish’s manuscript develops a geometric description of metallic response across long and short times and is now on arXiv.

The NSF has renewed Columbia’s Materials Research Science and Engineering Center for six years. Our group is part of IRG2 on nonequilibrium quantum metamaterials, developing theory for driven topological phases and quantum geometry in materials coupled to cavities.

The Army Research Office has funded our project, “Quantum Geometry as a Knob of Collective Phenomena in 2D Superlattices.” The project will develop moiré models that retain spatial orbital embedding and use them to predict geometric signatures in collective modes and superconductivity.

Julian’s manuscript connects symmetry-enforced wavefunction zeros to real-space measurements of band topology and is now on arXiv.

Welcome Kiril to the group! He will work on fractional Chern insulators, variational Monte Carlo, and coherent-state descriptions of correlated quantum matter.

We worked with the X. Y. Zhu Group to identify magnetic signatures of a candidate fractional topological insulator in twisted MoTe2. The work is published in Physical Review X.

Julian presents a new model of transition-metal dichalcogenides at Quantum Materials and Quantum Information Science 2026. Watch the recorded talk.

Peter Han joined the group as a summer undergraduate researcher from Haverford College. He is working on density-functional calculations and correlated natural orbitals in quantum materials.

Julian presents the group’s microwave-electrodynamics work on diagnosing nodal pairing in Weyl-semimetal MoTe₂ at Unconventional Superconductors and Magnets 2026. Watch the recorded talk.

Aiden joined the group as an undergraduate researcher. He is studying Floquet topology, driven quantum systems, and quantum geometry.