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https://hdl.handle.net/11147/7106
Title: | Wigner crystallization in topological flat bands | Authors: | Jaworowski, Blazej Güçlü, Alev Devrim Kaczmarkiewicz, Piotr Kupczynski, Michal Potasz, Pawel Wójs, Arkadiusz |
Keywords: | Charge order Fractional Chern insulators Long-range interactions Topological flat bands Wigner crystal |
Publisher: | IOP Publishing Ltd. | Source: | Jaworowski, B., Güçlü, A. D., Kaczmarkiewicz, P., Kupczyński, M., Potasz, P., and Wójs, A. (2018). Wigner crystallization in topological flat bands. New Journal of Physics, 20(6). doi:10.1088/1367-2630/aac690 | Abstract: | We study the Wigner crystallization on partially filled topological flat bands of kagome, honeycomb and checkerboard lattices. We identify the Wigner crystals (WCs) 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 Wigner crystallization observed by us is a robust and general phenomenon, existing in all three lattice models for a broad range of filling factors and interaction parameters. The shape of the resulting WCs is determined by the boundary conditions of the chosen plaquette. It is to a large extent independent on the underlying lattice, including its topology, and follows the behavior of classical point particles. | URI: | http://doi.org/10.1088/1367-2630/aac690 http://hdl.handle.net/11147/7106 |
ISSN: | 1367-2630 |
Appears in Collections: | Physics / Fizik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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