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Title: Wigner crystallization in topological flat bands
Authors: Jaworowski, Blazej
Güçlü, Alev Devrim
Kaczmarkiewicz, Piotr
Kupczynski, Michal
Potasz, Pawel
Wójs, Arkadiusz
Güçlü, Alev Devrim
Izmir Institute of Technology. Physics
Keywords: Charge order
Fractional Chern insulators
Long-range interactions
Topological flat bands
Wigner crystal
Issue Date: Jun-2018
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.
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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