Parent Berry curvature and the ideal anomalous Hall crystal

T Tan, T Devakul - Physical Review X, 2024 - APS
We study a model of electrons moving in a parent band of uniform Berry curvature. At
sufficiently high parent Berry curvature, we show that strong repulsive interactions …

Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering

T Tan, AP Reddy, L Fu, T Devakul - Physical Review Letters, 2024 - APS
We show that topological flat minibands can be engineered in a class of narrow gap
semiconductor films using only an external electrostatic superlattice potential. We …

Engineering band structures of two-dimensional materials with remote moiré ferroelectricity

J Ding, H Xiang, W Zhou, N Liu, Q Chen, X Fang… - Nature …, 2024 - nature.com
The stacking order and twist angle provide abundant opportunities for engineering band
structures of two-dimensional materials, including the formation of moiré bands, flat bands …

Charge Conservation beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids

RC McKay, F Mahmood, B Bradlyn - Physical Review X, 2024 - APS
Nonlinear electromagnetic response functions have reemerged as a crucial tool for studying
quantum materials, due to recently appreciated connections between optical response …

Moiré band structure engineering using a twisted boron nitride substrate

X Wang, C Xu, S Aronson, D Bennett, N Paul… - Nature …, 2025 - nature.com
Applying long wavelength periodic potentials on quantum materials has recently been
demonstrated to be a promising pathway for engineering novel quantum phases of matter …

Efficient prediction of superlattice and anomalous miniband topology from quantum geometry

V Crépel, J Cano - arXiv preprint arXiv:2406.17843, 2024 - arxiv.org
Two dimensional materials subject to long-wavelength modulations have emerged as novel
platforms to study topological and correlated quantum phases. In this article, we develop a …

Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices

D Seleznev, J Cano, D Vanderbilt - Physical Review B, 2024 - APS
It was recently argued that Bernal stacked bilayer graphene (BLG) exposed to a two-
dimensional superlattice (SL) potential exhibits a variety of intriguing behaviors [Ghorashi …

Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene

A Postlewaite, A Raj, S Chaudhary, GA Fiete - arXiv preprint arXiv …, 2024 - arxiv.org
We theoretically study the nonlinear optical response of ABC trilayer graphene with
inversion symmetry broken by the application of a displacement field perpendicular to the …

Sublattice structure and topology in spontaneously crystallized electronic states

Y Zeng, D Guerci, V Crépel, AJ Millis, J Cano - Physical Review Letters, 2024 - APS
The prediction and realization of the quantum anomalous Hall effect are often intimately
connected to honeycomb lattices in which the sublattice degree of freedom plays a central …

Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene

A Fischer, L Klebl, DM Kennes, TO Wehling - Physical Review B, 2024 - APS
We derive a minimal low-energy model for Bernal bilayer graphene and related
rhombohedral graphene multilayers at low electronic densities by constructing Wannier …