First order Quantum Hall to Wigner crystal phase transition on a triangular lattice: an iDMRG study
Strongly Correlated Electrons
2025-07-04 v2 Mesoscale and Nanoscale Physics
Abstract
In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density matrix renormalization group algorithm is used to compute the ground state of this generalized Fermi-Hubbard model. Increasing the strength of the nearest-neighbor repulsion, we find a first order transition between an Integer Quantum Hall phase and a crystalline, generalized Wigner crystal state. The first-order nature of the phase transition is consistent with a Ginzburg-Landau argument. We expect our results to be relevant for moir\'e heterostructures of two-dimensional materials.
Cite
@article{arxiv.2411.03748,
title = {First order Quantum Hall to Wigner crystal phase transition on a triangular lattice: an iDMRG study},
author = {Gleb Fedorovich and Clemens Kuhlenkamp and Atac Imamoglu and Ivan Amelio},
journal= {arXiv preprint arXiv:2411.03748},
year = {2025}
}