Wigner crystallization in topological flat bands
Abstract
We study the Wigner crystallization on partially filled topological flat bands. We identify the Wigner crystals by analyzing the cartesian and angular Fourier transform of the pair correlation density of the many-body ground state obtained using exact diagonalization. The crystallization strength measured by the magnitude of the Fourier peaks, increases with decreasing particle density. The shape of the resulting Wigner crystals is determined by the boundary conditions of the chosen plaquette and to a large extent independent on the underlying lattice, including its topology, and follows the behavior of classical point particles.
Cite
@article{arxiv.1712.06007,
title = {Wigner crystallization in topological flat bands},
author = {Błażej Jaworowski and Alev Devrim Güçlü and Piotr Kaczmarkiewicz and Michał Kupczyński and Paweł Potasz and Arkadiusz Wójs},
journal= {arXiv preprint arXiv:1712.06007},
year = {2018}
}
Comments
41 pages, 12 figures. Accepted for publication in New J. Phys.; the discussion of finite size effects is extended, several additional comments are made. The results and interpretation are unchanged